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Curs 4 2016/2017
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2C/1L, DCMR (CDM) Minim 7 prezente (curs+laborator) Curs - sl. Radu Damian Marti 18-20, P2
E – 50% din nota
probleme + (2p prez. curs) ▪ 3prez.=+0.5p
toate materialele permise Laborator – sl. Radu Damian Joi 8-14 impar II.13
L – 25% din nota
P – 25% din nota
![Page 3: Curs 4 2016/2017rf-opto.etti.tuiasi.ro/docs/files/DCMR Curs 4_2016.pdf · Matricea S poate fi extinsa (generalizata) pentru multiporti (n-porturi) i V k i i ii k V V S z 0, j V k](https://reader030.vdocuments.site/reader030/viewer/2022040319/5e42f1fc0622372d67468c0a/html5/thumbnails/3.jpg)
http://rf-opto.etti.tuiasi.ro
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RF-OPTO
http://rf-opto.etti.tuiasi.ro
Fotografie
de trimis prin email: [email protected]
necesara la laborator/curs
▪ <=C3, +1p
▪ <=C5, +0.5p
![Page 5: Curs 4 2016/2017rf-opto.etti.tuiasi.ro/docs/files/DCMR Curs 4_2016.pdf · Matricea S poate fi extinsa (generalizata) pentru multiporti (n-porturi) i V k i i ii k V V S z 0, j V k](https://reader030.vdocuments.site/reader030/viewer/2022040319/5e42f1fc0622372d67468c0a/html5/thumbnails/5.jpg)
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Personalizat
![Page 7: Curs 4 2016/2017rf-opto.etti.tuiasi.ro/docs/files/DCMR Curs 4_2016.pdf · Matricea S poate fi extinsa (generalizata) pentru multiporti (n-porturi) i V k i i ii k V V S z 0, j V k](https://reader030.vdocuments.site/reader030/viewer/2022040319/5e42f1fc0622372d67468c0a/html5/thumbnails/7.jpg)
0 dBm = 1 mW 3 dBm = 2 mW 5 dBm = 3 mW 10 dBm = 10 mW 20 dBm = 100 mW -3 dBm = 0.5 mW -10 dBm = 100 W -30 dBm = 1 W -60 dBm = 1 nW
0 dB = 1 + 0.1 dB = 1.023 (+2.3%) + 3 dB = 2 + 5 dB = 3 + 10 dB = 10 -3 dB = 0.5 -10 dB = 0.1 -20 dB = 0.01 -30 dB = 0.001
dB = 10 • log10 (P2 / P1) dBm = 10 • log10 (P / 1 mW)
[dBm] + [dB] = [dBm]
[dBm/Hz] + [dB] = [dBm/Hz]
[x] + [dB] = [x]
![Page 8: Curs 4 2016/2017rf-opto.etti.tuiasi.ro/docs/files/DCMR Curs 4_2016.pdf · Matricea S poate fi extinsa (generalizata) pentru multiporti (n-porturi) i V k i i ii k V V S z 0, j V k](https://reader030.vdocuments.site/reader030/viewer/2022040319/5e42f1fc0622372d67468c0a/html5/thumbnails/8.jpg)
![Page 9: Curs 4 2016/2017rf-opto.etti.tuiasi.ro/docs/files/DCMR Curs 4_2016.pdf · Matricea S poate fi extinsa (generalizata) pentru multiporti (n-porturi) i V k i i ii k V V S z 0, j V k](https://reader030.vdocuments.site/reader030/viewer/2022040319/5e42f1fc0622372d67468c0a/html5/thumbnails/9.jpg)
mod TEM, doi conductori I(z,t)
V(z,t)
Δz
I(z+Δz,t)
V(z+Δz,t)
L·Δz R·Δz
G·Δz C·Δz
![Page 10: Curs 4 2016/2017rf-opto.etti.tuiasi.ro/docs/files/DCMR Curs 4_2016.pdf · Matricea S poate fi extinsa (generalizata) pentru multiporti (n-porturi) i V k i i ii k V V S z 0, j V k](https://reader030.vdocuments.site/reader030/viewer/2022040319/5e42f1fc0622372d67468c0a/html5/thumbnails/10.jpg)
domeniu timp
semnale sinusoidale
t
tziLtziR
z
tzv
,,
,
t
tzvCtzvG
z
tzi
,,
,
zILjR
dz
zdV
zVCjG
dz
zdI
parametri lineici “marime” pe unitatea
de lungime R [Ω/m], L [H/m],
G [S/m], C [F/m]
![Page 11: Curs 4 2016/2017rf-opto.etti.tuiasi.ro/docs/files/DCMR Curs 4_2016.pdf · Matricea S poate fi extinsa (generalizata) pentru multiporti (n-porturi) i V k i i ii k V V S z 0, j V k](https://reader030.vdocuments.site/reader030/viewer/2022040319/5e42f1fc0622372d67468c0a/html5/thumbnails/11.jpg)
coeficient de reflexie in tensiune
ΓL
Z0 ZL
0
0
0
0
ZZ
ZZ
V
V
L
L
l
0
0
0
I
VZL 0
00
00 ZVV
VVZL
zjzj eVeVzV 00
zjzj eZ
Ve
Z
VzI
0
0
0
0
Z0 real
z
![Page 12: Curs 4 2016/2017rf-opto.etti.tuiasi.ro/docs/files/DCMR Curs 4_2016.pdf · Matricea S poate fi extinsa (generalizata) pentru multiporti (n-porturi) i V k i i ii k V V S z 0, j V k](https://reader030.vdocuments.site/reader030/viewer/2022040319/5e42f1fc0622372d67468c0a/html5/thumbnails/12.jpg)
impedanta la intrarea liniei de impedanta caracteristica Z0 , de lungime l , terminata cu impedanta ZL
lZjZ
lZjZZZ
L
Lin
tan
tan
0
00
ΓL
Z0 ZL
-l 0
Zin
![Page 13: Curs 4 2016/2017rf-opto.etti.tuiasi.ro/docs/files/DCMR Curs 4_2016.pdf · Matricea S poate fi extinsa (generalizata) pentru multiporti (n-porturi) i V k i i ii k V V S z 0, j V k](https://reader030.vdocuments.site/reader030/viewer/2022040319/5e42f1fc0622372d67468c0a/html5/thumbnails/13.jpg)
reactanța pură
+/- in funcție de l
lZjZin tan0
lZjZ
lZjZZZ
L
Lin
tan
tan
0
00
![Page 14: Curs 4 2016/2017rf-opto.etti.tuiasi.ro/docs/files/DCMR Curs 4_2016.pdf · Matricea S poate fi extinsa (generalizata) pentru multiporti (n-porturi) i V k i i ii k V V S z 0, j V k](https://reader030.vdocuments.site/reader030/viewer/2022040319/5e42f1fc0622372d67468c0a/html5/thumbnails/14.jpg)
lZjZin cot0
reactanța pură
+/- in funcție de l
lZjZ
lZjZZZ
L
Lin
tan
tan
0
00
![Page 15: Curs 4 2016/2017rf-opto.etti.tuiasi.ro/docs/files/DCMR Curs 4_2016.pdf · Matricea S poate fi extinsa (generalizata) pentru multiporti (n-porturi) i V k i i ii k V V S z 0, j V k](https://reader030.vdocuments.site/reader030/viewer/2022040319/5e42f1fc0622372d67468c0a/html5/thumbnails/15.jpg)
are ca scop separarea unui circuit complex in blocuri individuale
acestea se analizeaza separat (decuplate de restul circuitului) si se caracterizeaza doar prin intermediul porturilor (cutie neagra)
analiza la nivel de retea permite cuplarea rezultatelor individuale si obtinerea unui rezultat total pentru circuit
[Z] [ABCD] [S] [Z]
![Page 16: Curs 4 2016/2017rf-opto.etti.tuiasi.ro/docs/files/DCMR Curs 4_2016.pdf · Matricea S poate fi extinsa (generalizata) pentru multiporti (n-porturi) i V k i i ii k V V S z 0, j V k](https://reader030.vdocuments.site/reader030/viewer/2022040319/5e42f1fc0622372d67468c0a/html5/thumbnails/16.jpg)
2
2
1
1
I
V
DC
BA
I
V
221
221
IDVCI
IBVAV
02
1
2
VI
VB
02
1
2
IV
IC
02
1
2
VI
ID
I1
V1
I2
V2
DC
BA
02
1
2
IV
VA
1
1
2
2 1
I
V
AC
BD
CBDAI
V
um: [1] um: [Ω] um: [S] um: [1]
![Page 17: Curs 4 2016/2017rf-opto.etti.tuiasi.ro/docs/files/DCMR Curs 4_2016.pdf · Matricea S poate fi extinsa (generalizata) pentru multiporti (n-porturi) i V k i i ii k V V S z 0, j V k](https://reader030.vdocuments.site/reader030/viewer/2022040319/5e42f1fc0622372d67468c0a/html5/thumbnails/17.jpg)
introduce o legatura intre "intrare" si "iesire" permite inlatuirea usoara intre mai multe blocuri
I1
V1
I2
V2
11
11
DC
BA
I3
V3
22
22
DC
BA
3
3
22
22
11
11
2
2
11
11
1
1
I
V
DC
BA
DC
BA
I
V
DC
BA
I
V
![Page 18: Curs 4 2016/2017rf-opto.etti.tuiasi.ro/docs/files/DCMR Curs 4_2016.pdf · Matricea S poate fi extinsa (generalizata) pentru multiporti (n-porturi) i V k i i ii k V V S z 0, j V k](https://reader030.vdocuments.site/reader030/viewer/2022040319/5e42f1fc0622372d67468c0a/html5/thumbnails/18.jpg)
I1
V1
I2
V2
11
11
DC
BA
I3
V3
22
22
DC
BA
22
22
11
11
DC
BA
DC
BA
DC
BA
I1
V1
I3
V3
DC
BA
![Page 19: Curs 4 2016/2017rf-opto.etti.tuiasi.ro/docs/files/DCMR Curs 4_2016.pdf · Matricea S poate fi extinsa (generalizata) pentru multiporti (n-porturi) i V k i i ii k V V S z 0, j V k](https://reader030.vdocuments.site/reader030/viewer/2022040319/5e42f1fc0622372d67468c0a/html5/thumbnails/19.jpg)
Impedanta serie
1A ZB
0C 1D
1
02
1
2
IV
VA Z
ZV
V
I
VB
V
1
1
02
1
2
0
02
1
2
IV
IC 1
1
1
02
1
2
I
I
I
ID
V
![Page 20: Curs 4 2016/2017rf-opto.etti.tuiasi.ro/docs/files/DCMR Curs 4_2016.pdf · Matricea S poate fi extinsa (generalizata) pentru multiporti (n-porturi) i V k i i ii k V V S z 0, j V k](https://reader030.vdocuments.site/reader030/viewer/2022040319/5e42f1fc0622372d67468c0a/html5/thumbnails/20.jpg)
Admitanta paralel
1A 0B
YC 1D
Verificare - tema!
![Page 21: Curs 4 2016/2017rf-opto.etti.tuiasi.ro/docs/files/DCMR Curs 4_2016.pdf · Matricea S poate fi extinsa (generalizata) pentru multiporti (n-porturi) i V k i i ii k V V S z 0, j V k](https://reader030.vdocuments.site/reader030/viewer/2022040319/5e42f1fc0622372d67468c0a/html5/thumbnails/21.jpg)
Sectiune de linie de transmisie
lA cos
Verificare - tema!
lYjC sin0
lZjB sin0
lD cos
lZjZ
lZjZZZ
L
Lin
tan
tan
0
00
![Page 22: Curs 4 2016/2017rf-opto.etti.tuiasi.ro/docs/files/DCMR Curs 4_2016.pdf · Matricea S poate fi extinsa (generalizata) pentru multiporti (n-porturi) i V k i i ii k V V S z 0, j V k](https://reader030.vdocuments.site/reader030/viewer/2022040319/5e42f1fc0622372d67468c0a/html5/thumbnails/22.jpg)
Transformator
NA 0B
0CN
D1
Verificare - tema!
![Page 23: Curs 4 2016/2017rf-opto.etti.tuiasi.ro/docs/files/DCMR Curs 4_2016.pdf · Matricea S poate fi extinsa (generalizata) pentru multiporti (n-porturi) i V k i i ii k V V S z 0, j V k](https://reader030.vdocuments.site/reader030/viewer/2022040319/5e42f1fc0622372d67468c0a/html5/thumbnails/23.jpg)
diport π
3
21Y
YA
Verificare - tema!
3
1
YB
3
2121
Y
YYYYC
3
11Y
YD
![Page 24: Curs 4 2016/2017rf-opto.etti.tuiasi.ro/docs/files/DCMR Curs 4_2016.pdf · Matricea S poate fi extinsa (generalizata) pentru multiporti (n-porturi) i V k i i ii k V V S z 0, j V k](https://reader030.vdocuments.site/reader030/viewer/2022040319/5e42f1fc0622372d67468c0a/html5/thumbnails/24.jpg)
diport T
3
11Z
ZA
Verificare - tema!
3
1
ZC
3
2121
Z
ZZZZB
3
21Z
ZD
![Page 25: Curs 4 2016/2017rf-opto.etti.tuiasi.ro/docs/files/DCMR Curs 4_2016.pdf · Matricea S poate fi extinsa (generalizata) pentru multiporti (n-porturi) i V k i i ii k V V S z 0, j V k](https://reader030.vdocuments.site/reader030/viewer/2022040319/5e42f1fc0622372d67468c0a/html5/thumbnails/25.jpg)
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Determinati tensiunea pe sarcina in circuitul urmator
![Page 27: Curs 4 2016/2017rf-opto.etti.tuiasi.ro/docs/files/DCMR Curs 4_2016.pdf · Matricea S poate fi extinsa (generalizata) pentru multiporti (n-porturi) i V k i i ii k V V S z 0, j V k](https://reader030.vdocuments.site/reader030/viewer/2022040319/5e42f1fc0622372d67468c0a/html5/thumbnails/27.jpg)
Sectionare circuit in elemente simple Generatoarele raman in exterior Daca e necesar, se creaza porturi de intrare si iesire
lasate in gol
1 2 3 4
I2 = 0
4321 MMMMDC
BA
0221
2
IIBVAV
A
VVVAV LL
![Page 28: Curs 4 2016/2017rf-opto.etti.tuiasi.ro/docs/files/DCMR Curs 4_2016.pdf · Matricea S poate fi extinsa (generalizata) pentru multiporti (n-porturi) i V k i i ii k V V S z 0, j V k](https://reader030.vdocuments.site/reader030/viewer/2022040319/5e42f1fc0622372d67468c0a/html5/thumbnails/28.jpg)
M1 , impedanta serie
1
I2 = 0
10
5011
DC
BAM
![Page 29: Curs 4 2016/2017rf-opto.etti.tuiasi.ro/docs/files/DCMR Curs 4_2016.pdf · Matricea S poate fi extinsa (generalizata) pentru multiporti (n-porturi) i V k i i ii k V V S z 0, j V k](https://reader030.vdocuments.site/reader030/viewer/2022040319/5e42f1fc0622372d67468c0a/html5/thumbnails/29.jpg)
M2 , transformator 1:2
2
I2 = 0
20
02
12
DC
BAM
![Page 30: Curs 4 2016/2017rf-opto.etti.tuiasi.ro/docs/files/DCMR Curs 4_2016.pdf · Matricea S poate fi extinsa (generalizata) pentru multiporti (n-porturi) i V k i i ii k V V S z 0, j V k](https://reader030.vdocuments.site/reader030/viewer/2022040319/5e42f1fc0622372d67468c0a/html5/thumbnails/30.jpg)
M3 , linie serie, E = 90°
3
I2 = 0
050
500
3 j
j
DC
BAM
![Page 31: Curs 4 2016/2017rf-opto.etti.tuiasi.ro/docs/files/DCMR Curs 4_2016.pdf · Matricea S poate fi extinsa (generalizata) pentru multiporti (n-porturi) i V k i i ii k V V S z 0, j V k](https://reader030.vdocuments.site/reader030/viewer/2022040319/5e42f1fc0622372d67468c0a/html5/thumbnails/31.jpg)
M4 , impedanta/admitanta paralel
4
I2 = 0
125
101
4DC
BAM
![Page 32: Curs 4 2016/2017rf-opto.etti.tuiasi.ro/docs/files/DCMR Curs 4_2016.pdf · Matricea S poate fi extinsa (generalizata) pentru multiporti (n-porturi) i V k i i ii k V V S z 0, j V k](https://reader030.vdocuments.site/reader030/viewer/2022040319/5e42f1fc0622372d67468c0a/html5/thumbnails/32.jpg)
Sectionare circuit in elemente Generatoarele raman Daca e necesar, se creaza
lasate in gol
1 2 3 4
I2 = 0
901
3
03
jA
VVL
025
253
125
101
050
500
20
02
1
10
501j
jj
j
j
DC
BA
![Page 33: Curs 4 2016/2017rf-opto.etti.tuiasi.ro/docs/files/DCMR Curs 4_2016.pdf · Matricea S poate fi extinsa (generalizata) pentru multiporti (n-porturi) i V k i i ii k V V S z 0, j V k](https://reader030.vdocuments.site/reader030/viewer/2022040319/5e42f1fc0622372d67468c0a/html5/thumbnails/33.jpg)
Scattering parameters
2
1
2221
1211
2
1
V
V
SS
SS
V
V
01
111
2
VV
VS
[S]
01
221
2
VV
VS
V1 +
V1 -
V2 +
V2 -
are semnificatia: la portul 2 este conectata impedanta care realizeaza conditia de adaptare (complex conjugat)
02 V
Γ2
00 22 V
![Page 34: Curs 4 2016/2017rf-opto.etti.tuiasi.ro/docs/files/DCMR Curs 4_2016.pdf · Matricea S poate fi extinsa (generalizata) pentru multiporti (n-porturi) i V k i i ii k V V S z 0, j V k](https://reader030.vdocuments.site/reader030/viewer/2022040319/5e42f1fc0622372d67468c0a/html5/thumbnails/34.jpg)
S11 este coeficientul de reflexie la portul 1 cand portul 2 este terminat pe impedanta care realizeaza adaptarea
S21 este coeficientul de transmisie de la portul 1 la portul 2 cand portul 2 este terminat pe impedanta care realizeaza adaptarea
2
1
2221
1211
2
1
V
V
SS
SS
V
V
01
01
111
2
2
V
V
VS[S]
V1 +
V1 -
V2 +
V2 -
Γ2 Γ1
021
01
221
2
2
TV
VS
V
![Page 35: Curs 4 2016/2017rf-opto.etti.tuiasi.ro/docs/files/DCMR Curs 4_2016.pdf · Matricea S poate fi extinsa (generalizata) pentru multiporti (n-porturi) i V k i i ii k V V S z 0, j V k](https://reader030.vdocuments.site/reader030/viewer/2022040319/5e42f1fc0622372d67468c0a/html5/thumbnails/35.jpg)
Matricea S poate fi extinsa (generalizata) pentru multiporti (n-porturi)
ikVi
iii
k
V
VS
,0jkVj
iij
k
V
VS
,0
Sii este coeficientul de reflexie la portul i cand toate celelalte porturi sunt conectate la impedanta care realizeaza adaptarea
Sij este coeficientul de transmisie de la portul j la portul i cand se depune semnal la portul j si toate celelalte porturi sunt conectate la impedanta care realizeaza adaptarea
![Page 36: Curs 4 2016/2017rf-opto.etti.tuiasi.ro/docs/files/DCMR Curs 4_2016.pdf · Matricea S poate fi extinsa (generalizata) pentru multiporti (n-porturi) i V k i i ii k V V S z 0, j V k](https://reader030.vdocuments.site/reader030/viewer/2022040319/5e42f1fc0622372d67468c0a/html5/thumbnails/36.jpg)
Daca portul i este conectat la o linie cu impedanta caracteristica Zoi
Curs 3
Legatura cu matricea Z
zjzj eVeVzV 00 zjzj e
Z
Ve
Z
VzI
0
0
0
0
iii VVVi
i
i
ii
Z
V
Z
VI
00
VZZVZZIZ
1
0
1
0
VZZVZZ 00
100
ZZZZS
nZ
Z
Z
0
01
0
0
0
VIZ
VVVZZVZZ
1
0
1
0
VVV
VSV
![Page 37: Curs 4 2016/2017rf-opto.etti.tuiasi.ro/docs/files/DCMR Curs 4_2016.pdf · Matricea S poate fi extinsa (generalizata) pentru multiporti (n-porturi) i V k i i ii k V V S z 0, j V k](https://reader030.vdocuments.site/reader030/viewer/2022040319/5e42f1fc0622372d67468c0a/html5/thumbnails/37.jpg)
Circuite reciproce (fara circuite active, ferite)
Circuite fara pierderi
ijZZ jiij ,
ijYY jiij ,
ijSS jiij , tSS
jiZij ,,0Re
jiYij ,,0Re
jiSS ij
N
k
kjki ,,1
*
11
*
N
k
kiki SS
jiSSN
k
kjki
,01
*
]1[*
t
SS
![Page 38: Curs 4 2016/2017rf-opto.etti.tuiasi.ro/docs/files/DCMR Curs 4_2016.pdf · Matricea S poate fi extinsa (generalizata) pentru multiporti (n-porturi) i V k i i ii k V V S z 0, j V k](https://reader030.vdocuments.site/reader030/viewer/2022040319/5e42f1fc0622372d67468c0a/html5/thumbnails/38.jpg)
Amplitudinile totale ale tensiunii si curentului in functie de amplitudinile undelor incidenta si reflectate pentru o linie
Aflam amplitudinile undelor de tensiune
Puterea oferita sarcinii la iesirea din linie:
00 VVV 00
0
1VV
ZI
2
00
IZVV
2
00
IZVV
![Page 39: Curs 4 2016/2017rf-opto.etti.tuiasi.ro/docs/files/DCMR Curs 4_2016.pdf · Matricea S poate fi extinsa (generalizata) pentru multiporti (n-porturi) i V k i i ii k V V S z 0, j V k](https://reader030.vdocuments.site/reader030/viewer/2022040319/5e42f1fc0622372d67468c0a/html5/thumbnails/39.jpg)
Definim undele de putere
Tensiuni si curenti
R
R
R
IZVa
2
R
R
R
IZVb
2
*
RRR XjRZ O impedanta de referinta oarecare, complexa
R
RR
R
bZaZV
*
RR
baI
unda incidenta de putere
unda reflectata de putere
![Page 40: Curs 4 2016/2017rf-opto.etti.tuiasi.ro/docs/files/DCMR Curs 4_2016.pdf · Matricea S poate fi extinsa (generalizata) pentru multiporti (n-porturi) i V k i i ii k V V S z 0, j V k](https://reader030.vdocuments.site/reader030/viewer/2022040319/5e42f1fc0622372d67468c0a/html5/thumbnails/40.jpg)
Ei
Zi
ZL Pa
PL
Pr
i
ia
R
EP
4
2
22
2
LiLi
iLL
XXRR
ERP
coeficient de reflexie in putere
2
22
222
4
a
LiLi
LiLi
i
ir P
XXRR
XXRR
R
EP
0
*0
ZZ
ZZ
L
LL
![Page 41: Curs 4 2016/2017rf-opto.etti.tuiasi.ro/docs/files/DCMR Curs 4_2016.pdf · Matricea S poate fi extinsa (generalizata) pentru multiporti (n-porturi) i V k i i ii k V V S z 0, j V k](https://reader030.vdocuments.site/reader030/viewer/2022040319/5e42f1fc0622372d67468c0a/html5/thumbnails/41.jpg)
V0
Zg
ZL
I
V
*Re2
1IVPL
**
Re2
1
RR
RRL
R
ba
R
bZaZP
2***2*Re2
1bZbaZbaZaZ
RP RRRR
R
L
22
2
1
2
1baPL
a
b
RL
RL
R
Rp
ZZ
ZZ
IZV
IZV
a
b
**
![Page 42: Curs 4 2016/2017rf-opto.etti.tuiasi.ro/docs/files/DCMR Curs 4_2016.pdf · Matricea S poate fi extinsa (generalizata) pentru multiporti (n-porturi) i V k i i ii k V V S z 0, j V k](https://reader030.vdocuments.site/reader030/viewer/2022040319/5e42f1fc0622372d67468c0a/html5/thumbnails/42.jpg)
Daca aleg
Lg ZZ
VI
0
Lg
L
ZZ
ZVV
0
2
20
2Lg
LL
ZZ
RVP
Lg
L
L
Lg
L
Lg
L
R
R
ZZ
RV
R
ZZ
Z
ZZ
Z
VR
IZVa
0
*
022
*LR ZZ
022
0
*
L
Lg
L
Lg
L
R
R
R
ZZ
Z
ZZ
Z
VR
IZVb
2
202
22
1
Lg
LL
ZZ
RVaP
![Page 43: Curs 4 2016/2017rf-opto.etti.tuiasi.ro/docs/files/DCMR Curs 4_2016.pdf · Matricea S poate fi extinsa (generalizata) pentru multiporti (n-porturi) i V k i i ii k V V S z 0, j V k](https://reader030.vdocuments.site/reader030/viewer/2022040319/5e42f1fc0622372d67468c0a/html5/thumbnails/43.jpg)
Daca in plus generatorul este adaptat conjugat cu sarcina
Reflexie in putere C2
Reflexie in putere C4
*Lg ZZ
L
LR
VaP
82
1 2
02
max
221 aaaraL PPPPPP
*iL ZZ aL PP max
2 ar PP
0
*0
ZZ
ZZ
*
iL ZZ
2
max2
1aPP aL
22
2
1
2
1baPL
RL
RL
R
Rp
ZZ
ZZ
IZV
IZV
a
b
**
222
2
1
2
1pL aaP 2
1 paL PP 22
2
1bPP par
![Page 44: Curs 4 2016/2017rf-opto.etti.tuiasi.ro/docs/files/DCMR Curs 4_2016.pdf · Matricea S poate fi extinsa (generalizata) pentru multiporti (n-porturi) i V k i i ii k V V S z 0, j V k](https://reader030.vdocuments.site/reader030/viewer/2022040319/5e42f1fc0622372d67468c0a/html5/thumbnails/44.jpg)
Definitii de unde pentru n-porti
IZVFa R
IZVFb R *
Rn
R
R
Z
Z
Z
0
01
Rn
R
R
R
F
210
021 1
VIZ
![Page 45: Curs 4 2016/2017rf-opto.etti.tuiasi.ro/docs/files/DCMR Curs 4_2016.pdf · Matricea S poate fi extinsa (generalizata) pentru multiporti (n-porturi) i V k i i ii k V V S z 0, j V k](https://reader030.vdocuments.site/reader030/viewer/2022040319/5e42f1fc0622372d67468c0a/html5/thumbnails/45.jpg)
legatura intre undele de putere incidenta si reflectata
tipic
aFZZZZFb RR 11*
11* FZZZZFS RRp
100
ZZZZS
iRZZ Rii ,00
500R SS p
aSb p
coincid!!!
![Page 46: Curs 4 2016/2017rf-opto.etti.tuiasi.ro/docs/files/DCMR Curs 4_2016.pdf · Matricea S poate fi extinsa (generalizata) pentru multiporti (n-porturi) i V k i i ii k V V S z 0, j V k](https://reader030.vdocuments.site/reader030/viewer/2022040319/5e42f1fc0622372d67468c0a/html5/thumbnails/46.jpg)
S11 si S22 sunt coeficienti de reflexie la intrare si iesire cand celalalt port este adaptat
2
1
2221
1211
2
1
a
a
SS
SS
b
b
01
111
2
aa
bS
[S]
a1 a2
b1 b2
02
222
1
aa
bS
![Page 47: Curs 4 2016/2017rf-opto.etti.tuiasi.ro/docs/files/DCMR Curs 4_2016.pdf · Matricea S poate fi extinsa (generalizata) pentru multiporti (n-porturi) i V k i i ii k V V S z 0, j V k](https://reader030.vdocuments.site/reader030/viewer/2022040319/5e42f1fc0622372d67468c0a/html5/thumbnails/47.jpg)
S21 si S12 sunt amplificari de semnal cand celalalt port este adaptat
2
1
2221
1211
2
1
a
a
SS
SS
b
b
01
221
2
aa
bS
[S]
a1 a2
b1 b2
02
112
1
aa
bS
![Page 48: Curs 4 2016/2017rf-opto.etti.tuiasi.ro/docs/files/DCMR Curs 4_2016.pdf · Matricea S poate fi extinsa (generalizata) pentru multiporti (n-porturi) i V k i i ii k V V S z 0, j V k](https://reader030.vdocuments.site/reader030/viewer/2022040319/5e42f1fc0622372d67468c0a/html5/thumbnails/48.jpg)
a,b informatia despre putere SI faza
Sij influenta circuitului asupra puterii semnalului
incluzand informatiile relativ la faza
2
1
2221
1211
2
1
a
a
SS
SS
b
b
0
02
21ZsursaPutere
ZsarcinaPutereS
[S]
a1 a2
b1 b2
![Page 49: Curs 4 2016/2017rf-opto.etti.tuiasi.ro/docs/files/DCMR Curs 4_2016.pdf · Matricea S poate fi extinsa (generalizata) pentru multiporti (n-porturi) i V k i i ii k V V S z 0, j V k](https://reader030.vdocuments.site/reader030/viewer/2022040319/5e42f1fc0622372d67468c0a/html5/thumbnails/49.jpg)
Vector Network Analyzer
![Page 50: Curs 4 2016/2017rf-opto.etti.tuiasi.ro/docs/files/DCMR Curs 4_2016.pdf · Matricea S poate fi extinsa (generalizata) pentru multiporti (n-porturi) i V k i i ii k V V S z 0, j V k](https://reader030.vdocuments.site/reader030/viewer/2022040319/5e42f1fc0622372d67468c0a/html5/thumbnails/50.jpg)
21
2211
02
01
2
1
S
SSS
Z
ZA
21
22110201
2
1
S
SSSZZB
01020102
0102010211
DZZCZBAZ
DZZCZBAZS
21
2211
02012
11
S
SSS
ZZC
21122211 SSSSS
21
2211
01
02
2
1
S
SSS
Z
ZD
01020102
0201
12
)(2
DZZCZBAZ
ZZBCADS
01020102
0201
21
2
DZZCZBAZ
ZZS
01020102
0102010222
DZZCZBAZ
DZZCZBAZS
![Page 51: Curs 4 2016/2017rf-opto.etti.tuiasi.ro/docs/files/DCMR Curs 4_2016.pdf · Matricea S poate fi extinsa (generalizata) pentru multiporti (n-porturi) i V k i i ii k V V S z 0, j V k](https://reader030.vdocuments.site/reader030/viewer/2022040319/5e42f1fc0622372d67468c0a/html5/thumbnails/51.jpg)
Adaptarea de impedanța
![Page 52: Curs 4 2016/2017rf-opto.etti.tuiasi.ro/docs/files/DCMR Curs 4_2016.pdf · Matricea S poate fi extinsa (generalizata) pentru multiporti (n-porturi) i V k i i ii k V V S z 0, j V k](https://reader030.vdocuments.site/reader030/viewer/2022040319/5e42f1fc0622372d67468c0a/html5/thumbnails/52.jpg)
![Page 53: Curs 4 2016/2017rf-opto.etti.tuiasi.ro/docs/files/DCMR Curs 4_2016.pdf · Matricea S poate fi extinsa (generalizata) pentru multiporti (n-porturi) i V k i i ii k V V S z 0, j V k](https://reader030.vdocuments.site/reader030/viewer/2022040319/5e42f1fc0622372d67468c0a/html5/thumbnails/53.jpg)
![Page 54: Curs 4 2016/2017rf-opto.etti.tuiasi.ro/docs/files/DCMR Curs 4_2016.pdf · Matricea S poate fi extinsa (generalizata) pentru multiporti (n-porturi) i V k i i ii k V V S z 0, j V k](https://reader030.vdocuments.site/reader030/viewer/2022040319/5e42f1fc0622372d67468c0a/html5/thumbnails/54.jpg)
![Page 55: Curs 4 2016/2017rf-opto.etti.tuiasi.ro/docs/files/DCMR Curs 4_2016.pdf · Matricea S poate fi extinsa (generalizata) pentru multiporti (n-porturi) i V k i i ii k V V S z 0, j V k](https://reader030.vdocuments.site/reader030/viewer/2022040319/5e42f1fc0622372d67468c0a/html5/thumbnails/55.jpg)
![Page 56: Curs 4 2016/2017rf-opto.etti.tuiasi.ro/docs/files/DCMR Curs 4_2016.pdf · Matricea S poate fi extinsa (generalizata) pentru multiporti (n-porturi) i V k i i ii k V V S z 0, j V k](https://reader030.vdocuments.site/reader030/viewer/2022040319/5e42f1fc0622372d67468c0a/html5/thumbnails/56.jpg)
![Page 57: Curs 4 2016/2017rf-opto.etti.tuiasi.ro/docs/files/DCMR Curs 4_2016.pdf · Matricea S poate fi extinsa (generalizata) pentru multiporti (n-porturi) i V k i i ii k V V S z 0, j V k](https://reader030.vdocuments.site/reader030/viewer/2022040319/5e42f1fc0622372d67468c0a/html5/thumbnails/57.jpg)
Im Γ
Re Γ
|Γ|=1
+1
+1
-1
-1
|Γ|
θ=arg Γ
![Page 58: Curs 4 2016/2017rf-opto.etti.tuiasi.ro/docs/files/DCMR Curs 4_2016.pdf · Matricea S poate fi extinsa (generalizata) pentru multiporti (n-porturi) i V k i i ii k V V S z 0, j V k](https://reader030.vdocuments.site/reader030/viewer/2022040319/5e42f1fc0622372d67468c0a/html5/thumbnails/58.jpg)
Im Γ
Re Γ
|Γ|=1
+1
+1
-1
-1
|Γ|
θ=arg Γ
![Page 59: Curs 4 2016/2017rf-opto.etti.tuiasi.ro/docs/files/DCMR Curs 4_2016.pdf · Matricea S poate fi extinsa (generalizata) pentru multiporti (n-porturi) i V k i i ii k V V S z 0, j V k](https://reader030.vdocuments.site/reader030/viewer/2022040319/5e42f1fc0622372d67468c0a/html5/thumbnails/59.jpg)
j
L
L
L
L ez
z
ZZ
ZZ
1
1
0
0
ir j
LLj
j
L xjre
ez
1
1
ir
irLL
j
jxjr
1
1
Im Γ
Re Γ
|Γ|=1
+1
+1
-1
|Γ|
θ=arg Γ
Raportarea ZL zL permite utilizarea aceleiasi diagrame pentru oricare impedanta de referinta Z0 (face reprezentarea independenta de valoarea aleasa pentru Z0 )
L
LL
LL
Z
Z
Y
Yy
Z
Zz 0
00
![Page 60: Curs 4 2016/2017rf-opto.etti.tuiasi.ro/docs/files/DCMR Curs 4_2016.pdf · Matricea S poate fi extinsa (generalizata) pentru multiporti (n-porturi) i V k i i ii k V V S z 0, j V k](https://reader030.vdocuments.site/reader030/viewer/2022040319/5e42f1fc0622372d67468c0a/html5/thumbnails/60.jpg)
Rearajate
22
22
1
1
ir
irLr
221
2
ir
iLx
2
2
2
1
1
1
L
i
L
Lr
rr
r
22
2 111
LL
irxx
Im Γ
Re Γ
|Γ|=1
+1
+1
-1
|Γ|
θ=arg Γ
![Page 61: Curs 4 2016/2017rf-opto.etti.tuiasi.ro/docs/files/DCMR Curs 4_2016.pdf · Matricea S poate fi extinsa (generalizata) pentru multiporti (n-porturi) i V k i i ii k V V S z 0, j V k](https://reader030.vdocuments.site/reader030/viewer/2022040319/5e42f1fc0622372d67468c0a/html5/thumbnails/61.jpg)
Cercuri in planul complex
2
2
2
1
1
1
L
i
L
Lr
rr
r
22
2 111
LL
irxx
220
20 Ryyxx
Im Γ
Re Γ
|Γ|=1
+1
+1
-1
|Γ|
θ=arg Γ
![Page 62: Curs 4 2016/2017rf-opto.etti.tuiasi.ro/docs/files/DCMR Curs 4_2016.pdf · Matricea S poate fi extinsa (generalizata) pentru multiporti (n-porturi) i V k i i ii k V V S z 0, j V k](https://reader030.vdocuments.site/reader030/viewer/2022040319/5e42f1fc0622372d67468c0a/html5/thumbnails/62.jpg)
Re Γ
+1
+1
-1
-1
x0
y0
R
220
20 Ryyxx
Im Γ
![Page 63: Curs 4 2016/2017rf-opto.etti.tuiasi.ro/docs/files/DCMR Curs 4_2016.pdf · Matricea S poate fi extinsa (generalizata) pentru multiporti (n-porturi) i V k i i ii k V V S z 0, j V k](https://reader030.vdocuments.site/reader030/viewer/2022040319/5e42f1fc0622372d67468c0a/html5/thumbnails/63.jpg)
Locul geometric al punctelor care pot fi ocupate de impedantele cu rezistenta rL este un cerc: Cu centrul pe axa reala (y0=0) trece prin punctul x=1,y=0 oricare x0,rL are raza intre 0 si 1
▪ tinzand spre 0 cand rL este mare ▪ tinzand spre 1 cand rL este mic
cand rL este 1 trece si prin origine
2
2
2
1
1
1
L
i
L
Lr
rr
r
220
20 Ryyxx
L
L
L
rR
y
r
rx
1
1
0
1
0
0
22
1
10
11
LL
L
rr
r
11
1
10
22
L
LL
L rrr
r
![Page 64: Curs 4 2016/2017rf-opto.etti.tuiasi.ro/docs/files/DCMR Curs 4_2016.pdf · Matricea S poate fi extinsa (generalizata) pentru multiporti (n-porturi) i V k i i ii k V V S z 0, j V k](https://reader030.vdocuments.site/reader030/viewer/2022040319/5e42f1fc0622372d67468c0a/html5/thumbnails/64.jpg)
Re Γ
+1
+1
-1
-1
rL mare
rL mic
rL = 1
Im Γ
![Page 65: Curs 4 2016/2017rf-opto.etti.tuiasi.ro/docs/files/DCMR Curs 4_2016.pdf · Matricea S poate fi extinsa (generalizata) pentru multiporti (n-porturi) i V k i i ii k V V S z 0, j V k](https://reader030.vdocuments.site/reader030/viewer/2022040319/5e42f1fc0622372d67468c0a/html5/thumbnails/65.jpg)
Locul geometric al punctelor care pot fi ocupate de impedantele cu reactanta xL este un cerc: Cu centrul pe o dreapta paralela cu axa imaginara (x0=1) trece prin punctul x=1,y=0 oricare x0,xL are raza intre 0 si ∞
▪ tinzand spre 0 cand |xL| este mare ▪ tinzand spre ∞ cand |xL| este mic
cand xL este 0, la limita se transforma in axa reala daca xL > 0 cercul e deasupra axei reale, altfel e sub axa reala
220
20 Ryyxx
L
L
xR
xy
x
1
1
1
0
0
22
2 111
LL
irxx
22
1100
LL xx
![Page 66: Curs 4 2016/2017rf-opto.etti.tuiasi.ro/docs/files/DCMR Curs 4_2016.pdf · Matricea S poate fi extinsa (generalizata) pentru multiporti (n-porturi) i V k i i ii k V V S z 0, j V k](https://reader030.vdocuments.site/reader030/viewer/2022040319/5e42f1fc0622372d67468c0a/html5/thumbnails/66.jpg)
Re Γ
+1
+1
-1
-1
xL < 0
xL > 0
xL = 0
Im Γ
![Page 67: Curs 4 2016/2017rf-opto.etti.tuiasi.ro/docs/files/DCMR Curs 4_2016.pdf · Matricea S poate fi extinsa (generalizata) pentru multiporti (n-porturi) i V k i i ii k V V S z 0, j V k](https://reader030.vdocuments.site/reader030/viewer/2022040319/5e42f1fc0622372d67468c0a/html5/thumbnails/67.jpg)
Re Γ
+1
+1
-1
-1
rL
xL
Im Γ LLL xjrz
![Page 68: Curs 4 2016/2017rf-opto.etti.tuiasi.ro/docs/files/DCMR Curs 4_2016.pdf · Matricea S poate fi extinsa (generalizata) pentru multiporti (n-porturi) i V k i i ii k V V S z 0, j V k](https://reader030.vdocuments.site/reader030/viewer/2022040319/5e42f1fc0622372d67468c0a/html5/thumbnails/68.jpg)
Re Γ +1
+1
-1
-1
Im Γ
je
ir j |Γ|=1
608.0
sincos j
608.0
4.060cos8.0 r
693.060sin8.0 i
693.04.0608.0 j
![Page 69: Curs 4 2016/2017rf-opto.etti.tuiasi.ro/docs/files/DCMR Curs 4_2016.pdf · Matricea S poate fi extinsa (generalizata) pentru multiporti (n-porturi) i V k i i ii k V V S z 0, j V k](https://reader030.vdocuments.site/reader030/viewer/2022040319/5e42f1fc0622372d67468c0a/html5/thumbnails/69.jpg)
Re Γ +1
+1
-1
-1
Im Γ
je
ir j |Γ|=1
608.0
sincos j
608.0
r
i
693.04.0608.0 j
4.060cos8.0 r
693.060sin8.0 i
4.060cos8.0 r
693.060sin8.0 i
![Page 70: Curs 4 2016/2017rf-opto.etti.tuiasi.ro/docs/files/DCMR Curs 4_2016.pdf · Matricea S poate fi extinsa (generalizata) pentru multiporti (n-porturi) i V k i i ii k V V S z 0, j V k](https://reader030.vdocuments.site/reader030/viewer/2022040319/5e42f1fc0622372d67468c0a/html5/thumbnails/70.jpg)
je
ir j
|Γ|=1
608.0
sincos j
608.0
4.060cos8.0 r
693.060sin8.0 i
0.2 0.4 0.6 0.8 1.0
θ
|Γ|
0°
45°
90°
135°
180°
225°
270°
315°
![Page 71: Curs 4 2016/2017rf-opto.etti.tuiasi.ro/docs/files/DCMR Curs 4_2016.pdf · Matricea S poate fi extinsa (generalizata) pentru multiporti (n-porturi) i V k i i ii k V V S z 0, j V k](https://reader030.vdocuments.site/reader030/viewer/2022040319/5e42f1fc0622372d67468c0a/html5/thumbnails/71.jpg)
je|Γ|=1
608.0
608.0
0.2 0.4 0.6 0.8 1.0
θ
|Γ|
0°
45°
90°
135°
180°
225°
270°
315°
608.01
608.01
1
1Lz
1
1
0
0
L
L
L
L
z
z
ZZ
ZZ
65.1429.0 jzL
608.01
608.0150
1
10ZZL
479.82429.21 jZL
![Page 72: Curs 4 2016/2017rf-opto.etti.tuiasi.ro/docs/files/DCMR Curs 4_2016.pdf · Matricea S poate fi extinsa (generalizata) pentru multiporti (n-porturi) i V k i i ii k V V S z 0, j V k](https://reader030.vdocuments.site/reader030/viewer/2022040319/5e42f1fc0622372d67468c0a/html5/thumbnails/72.jpg)
|Γ|=1 608.0
0.2 0.4 0.6 0.8 1.0
|Γ|
0°
45°
90°
135°
180°
225°
270°
315°
65.1429.0 jzL
rL=0.429
xL=+1.65
(oricare Z0)
1
1
0
0
L
L
L
L
z
z
ZZ
ZZ
608.01
608.01
1
1Lz
693.04.0608.0 j
![Page 73: Curs 4 2016/2017rf-opto.etti.tuiasi.ro/docs/files/DCMR Curs 4_2016.pdf · Matricea S poate fi extinsa (generalizata) pentru multiporti (n-porturi) i V k i i ii k V V S z 0, j V k](https://reader030.vdocuments.site/reader030/viewer/2022040319/5e42f1fc0622372d67468c0a/html5/thumbnails/73.jpg)
|Γ|=1 608.0
0.2 0.4 0.6 0.8 1.0
|Γ|
0°
45°
90°
135°
180°
225°
270°
315°
65.1429.0 jzL
rL=0.429
xL=+1.65
(oricare Z0)
![Page 74: Curs 4 2016/2017rf-opto.etti.tuiasi.ro/docs/files/DCMR Curs 4_2016.pdf · Matricea S poate fi extinsa (generalizata) pentru multiporti (n-porturi) i V k i i ii k V V S z 0, j V k](https://reader030.vdocuments.site/reader030/viewer/2022040319/5e42f1fc0622372d67468c0a/html5/thumbnails/74.jpg)
|Γ|=1 608.0L
0.2 0.4 0.6 0.8 1.0
0°
45°
90°
135°
180°
225°
270°
315°
65.1429.0 jzL
V0
Z0 ZL
479.82429.21 jZL
608.0L
Adaptare ZL la Z0. Se raporteaza ZL la Z0
Trebuie sa deplasez coeficientul de reflexie in zona in care pentru generator cu Z0 am:
ΓL Γ0
00
m0
adaptare perfecta
adaptare "suficienta"
![Page 75: Curs 4 2016/2017rf-opto.etti.tuiasi.ro/docs/files/DCMR Curs 4_2016.pdf · Matricea S poate fi extinsa (generalizata) pentru multiporti (n-porturi) i V k i i ii k V V S z 0, j V k](https://reader030.vdocuments.site/reader030/viewer/2022040319/5e42f1fc0622372d67468c0a/html5/thumbnails/75.jpg)
Similar Lab. 1
m0
![Page 76: Curs 4 2016/2017rf-opto.etti.tuiasi.ro/docs/files/DCMR Curs 4_2016.pdf · Matricea S poate fi extinsa (generalizata) pentru multiporti (n-porturi) i V k i i ii k V V S z 0, j V k](https://reader030.vdocuments.site/reader030/viewer/2022040319/5e42f1fc0622372d67468c0a/html5/thumbnails/76.jpg)
0.2 0.5 1.0
+0.2
45°
315°
+0.5
+1.0 +2.0
-0.2
-0.5
-1.0
-2.0
2.0 0°
90°
135°
|Γ|=1
180°
225°
270°
V0
Z0 ZL
ΓL Γ0
2.02.0 jzL
1010 jZL
5.156678.00L
500Z
![Page 77: Curs 4 2016/2017rf-opto.etti.tuiasi.ro/docs/files/DCMR Curs 4_2016.pdf · Matricea S poate fi extinsa (generalizata) pentru multiporti (n-porturi) i V k i i ii k V V S z 0, j V k](https://reader030.vdocuments.site/reader030/viewer/2022040319/5e42f1fc0622372d67468c0a/html5/thumbnails/77.jpg)
0.2 0.5 1.0
+0.2
45°
315°
+0.5
+1.0 +2.0
-0.2
-0.5
-1.0
-2.0
2.0 0°
90°
135°
|Γ|=1
180°
225°
270°
V0
Z0 ZL
ΓL Zin,Γ0
1010 jXjRZ LLL
5.156678.0L
500Z
j·X1
2.02.0 jxjrz LLL
1xxjrz LLin
11 XXjRXjZZ LLLin
Lin rr 0/ 011 ZLjxj
0/ 011 ZCjxj
011 / ZLjxj
011 / ZCjxj
![Page 78: Curs 4 2016/2017rf-opto.etti.tuiasi.ro/docs/files/DCMR Curs 4_2016.pdf · Matricea S poate fi extinsa (generalizata) pentru multiporti (n-porturi) i V k i i ii k V V S z 0, j V k](https://reader030.vdocuments.site/reader030/viewer/2022040319/5e42f1fc0622372d67468c0a/html5/thumbnails/78.jpg)
0.2 0.5 1.0
+0.2
45°
315°
+0.5
+1.0 +2.0
-0.2
-0.5
-1.0
-2.0
2.0 0°
90°
135°
|Γ|=1
180°
225°
270°
V0
Z0 ZL
ΓL Zin,Γ0
1010 jXjRZ LLL
5.156678.0L
500Z
R1
2.02.0 jxjrz LLL
LLLin XjRRRZZ 11
Lin xx
LLLin xjrrrzz 11
01 / ZRrr Lin
011 / ZRr
![Page 79: Curs 4 2016/2017rf-opto.etti.tuiasi.ro/docs/files/DCMR Curs 4_2016.pdf · Matricea S poate fi extinsa (generalizata) pentru multiporti (n-porturi) i V k i i ii k V V S z 0, j V k](https://reader030.vdocuments.site/reader030/viewer/2022040319/5e42f1fc0622372d67468c0a/html5/thumbnails/79.jpg)
0.2 0.5 1.0
+0.2
45°
315°
+0.5
+1.0 +2.0
-0.2
-0.5
-1.0
-2.0
2.0 0°
90°
135°
|Γ|=1
180°
225°
270°
V0
Z0 ZL
ΓL Zin,Γ0
1010 jXjRZ LLL
5.156678.0L
500Z
Z0,β·l
2.02.0 jxjrz LLL
ljL
ljL
ine
eZZ
2
2
01
1
ljLin e 2
Lin lLin 2argarg
|Γ|=0.678 l 2
![Page 80: Curs 4 2016/2017rf-opto.etti.tuiasi.ro/docs/files/DCMR Curs 4_2016.pdf · Matricea S poate fi extinsa (generalizata) pentru multiporti (n-porturi) i V k i i ii k V V S z 0, j V k](https://reader030.vdocuments.site/reader030/viewer/2022040319/5e42f1fc0622372d67468c0a/html5/thumbnails/80.jpg)
linie de transmisie 100Ω 0.3λ lungime ZL = 40Ω+j·70Ω
Zin=?
lZjZ
lZjZZZ
L
Lin
tan
tan
0
00
ΓL
Z0 ZL
-l 0
Zin
61.119036.5340 jZin
![Page 81: Curs 4 2016/2017rf-opto.etti.tuiasi.ro/docs/files/DCMR Curs 4_2016.pdf · Matricea S poate fi extinsa (generalizata) pentru multiporti (n-porturi) i V k i i ii k V V S z 0, j V k](https://reader030.vdocuments.site/reader030/viewer/2022040319/5e42f1fc0622372d67468c0a/html5/thumbnails/81.jpg)
linie de transmisie 100Ω 0.3λ lungime ZL = 40Ω+j·70Ω
raportare la Z0 = 100Ω
7.04.00
jZ
Zz L
L
deplasare 0.3λ pe o linie cu Z0 = 100Ω (cerc) Plecand din zL (0.105λ)
Pana la zin (0.405λ)
0
6.036.0Z
Zjz in
in 6036 jZin
0.4
0.7
0.105
0.405
~0.6
~0.36
![Page 82: Curs 4 2016/2017rf-opto.etti.tuiasi.ro/docs/files/DCMR Curs 4_2016.pdf · Matricea S poate fi extinsa (generalizata) pentru multiporti (n-porturi) i V k i i ii k V V S z 0, j V k](https://reader030.vdocuments.site/reader030/viewer/2022040319/5e42f1fc0622372d67468c0a/html5/thumbnails/82.jpg)
j
L
L
L
L ez
z
ZZ
ZZ
1
1
0
0
ir j
LLj
j
L xjre
ez
1
1
ir
irLL
j
jbjg
1
1
Im Γ
Re Γ
|Γ|=1
+1
+1
-1
|Γ|
θ=arg Γ
LL
LLj
j
L bjgxjre
ey
1
1
1
![Page 83: Curs 4 2016/2017rf-opto.etti.tuiasi.ro/docs/files/DCMR Curs 4_2016.pdf · Matricea S poate fi extinsa (generalizata) pentru multiporti (n-porturi) i V k i i ii k V V S z 0, j V k](https://reader030.vdocuments.site/reader030/viewer/2022040319/5e42f1fc0622372d67468c0a/html5/thumbnails/83.jpg)
Rearajate
22
22
1
1
ir
irLg
221
2
ir
iLb
2
2
2
1
1
1
L
i
L
Lr
gg
g
22
2 111
LL
irbb
Im Γ
Re Γ
|Γ|=1
+1
+1
-1
|Γ|
θ=arg Γ
x0
y0
R
220
20 Ryyxx
220
20 Ryyxx
Cercuri in planul complex
![Page 84: Curs 4 2016/2017rf-opto.etti.tuiasi.ro/docs/files/DCMR Curs 4_2016.pdf · Matricea S poate fi extinsa (generalizata) pentru multiporti (n-porturi) i V k i i ii k V V S z 0, j V k](https://reader030.vdocuments.site/reader030/viewer/2022040319/5e42f1fc0622372d67468c0a/html5/thumbnails/84.jpg)
Re Γ
+1
+1
-1
-1
gL mare
gL mic
gL = 1
Im Γ
![Page 85: Curs 4 2016/2017rf-opto.etti.tuiasi.ro/docs/files/DCMR Curs 4_2016.pdf · Matricea S poate fi extinsa (generalizata) pentru multiporti (n-porturi) i V k i i ii k V V S z 0, j V k](https://reader030.vdocuments.site/reader030/viewer/2022040319/5e42f1fc0622372d67468c0a/html5/thumbnails/85.jpg)
Re Γ
+1
+1
-1
-1
bL < 0
bL > 0 bL = 0
Im Γ
![Page 86: Curs 4 2016/2017rf-opto.etti.tuiasi.ro/docs/files/DCMR Curs 4_2016.pdf · Matricea S poate fi extinsa (generalizata) pentru multiporti (n-porturi) i V k i i ii k V V S z 0, j V k](https://reader030.vdocuments.site/reader030/viewer/2022040319/5e42f1fc0622372d67468c0a/html5/thumbnails/86.jpg)
|Γ|=1
608.0
0.2 0.4 0.6 0.8 1.0
|Γ|
0°
45°
90°
135°
180°
225°
270°
315°
568.0148.0 jyL
gL=0.148
bL=-0.568
(oricare Z0)
608.0
65.1429.0 jzL
479.82429.21 jZL
568.0148.01
jz
yL
L
![Page 87: Curs 4 2016/2017rf-opto.etti.tuiasi.ro/docs/files/DCMR Curs 4_2016.pdf · Matricea S poate fi extinsa (generalizata) pentru multiporti (n-porturi) i V k i i ii k V V S z 0, j V k](https://reader030.vdocuments.site/reader030/viewer/2022040319/5e42f1fc0622372d67468c0a/html5/thumbnails/87.jpg)
0.2 0.5 1.0
+0.2
+0.5
+1.0
+2.0
-0.2
-0.5
-1.0 -2.0
2.0
0°
90°
135°
225°
270°
V0
Z0 YL
ΓL Γ0
5.25.2 jzL
125125 jZL
5.23678.00L
SYZ 02.0,50 00
315°
180°
|Γ|=1
45°
2.02.01
0
jY
Y
zy L
L
L
SjSZ
YL
L 004.0004.01
![Page 88: Curs 4 2016/2017rf-opto.etti.tuiasi.ro/docs/files/DCMR Curs 4_2016.pdf · Matricea S poate fi extinsa (generalizata) pentru multiporti (n-porturi) i V k i i ii k V V S z 0, j V k](https://reader030.vdocuments.site/reader030/viewer/2022040319/5e42f1fc0622372d67468c0a/html5/thumbnails/88.jpg)
0.2 0.5 1.0
+0.2
+0.5
+1.0
+2.0
-0.2
-0.5
-1.0 -2.0
2.0
0°
90°
135°
225°
270°
V0
Z0
YL
ΓL Γ0
5.23678.0L
SYZ 02.0,50 00
315°
180°
|Γ|=1
45° j·B1
SjSBjGY LLL 004.0004.0
2.02.0 jbjgy LLL
1bbjgy LLin
11 BBjGBjYY LLLin
Lin gg 0011 ZCjbj
0/ 101 LZjbj
101 / LZjbj
011 ZCjbj
![Page 89: Curs 4 2016/2017rf-opto.etti.tuiasi.ro/docs/files/DCMR Curs 4_2016.pdf · Matricea S poate fi extinsa (generalizata) pentru multiporti (n-porturi) i V k i i ii k V V S z 0, j V k](https://reader030.vdocuments.site/reader030/viewer/2022040319/5e42f1fc0622372d67468c0a/html5/thumbnails/89.jpg)
0.2 0.5 1.0
+0.2
+0.5
+1.0
+2.0
-0.2
-0.5
-1.0 -2.0
2.0
0°
90°
135°
225°
270°
V0
Z0
YL
ΓL Γ0
5.23678.0L
SYZ 02.0,50 00
315°
180°
|Γ|=1
45° G1
SjSBjGY LLL 004.0004.0
2.02.0 jbjgy LLL
LLin bjggy 1
Lin bb 01 ZGgg Lin
LLLin BjGGGYY 11
011 ZGg
![Page 90: Curs 4 2016/2017rf-opto.etti.tuiasi.ro/docs/files/DCMR Curs 4_2016.pdf · Matricea S poate fi extinsa (generalizata) pentru multiporti (n-porturi) i V k i i ii k V V S z 0, j V k](https://reader030.vdocuments.site/reader030/viewer/2022040319/5e42f1fc0622372d67468c0a/html5/thumbnails/90.jpg)
Adaptarea cu transformatoare de impedanta (Lab. 1)
![Page 91: Curs 4 2016/2017rf-opto.etti.tuiasi.ro/docs/files/DCMR Curs 4_2016.pdf · Matricea S poate fi extinsa (generalizata) pentru multiporti (n-porturi) i V k i i ii k V V S z 0, j V k](https://reader030.vdocuments.site/reader030/viewer/2022040319/5e42f1fc0622372d67468c0a/html5/thumbnails/91.jpg)
Feed line – linie de intrare cu impedanta caracteristica Z0
Sarcina cu impedanta RL
Dorim adaptarea sarcinei la fider cu o linie de lungime λ/4 si impedanta caracteristica Z1
)tan(
)tan(
1
11
ljRZ
ljZRZZ
L
Lin
lj
lj
ine
eZZ
2
2
11
1
1
1
0
0
ZR
ZR
V
V
L
LO
![Page 92: Curs 4 2016/2017rf-opto.etti.tuiasi.ro/docs/files/DCMR Curs 4_2016.pdf · Matricea S poate fi extinsa (generalizata) pentru multiporti (n-porturi) i V k i i ii k V V S z 0, j V k](https://reader030.vdocuments.site/reader030/viewer/2022040319/5e42f1fc0622372d67468c0a/html5/thumbnails/92.jpg)
Pe fider (Z0) avem doar unda progresiva Pe linia in sfert de lungime de unda (Z1) avem
unda stationara
24
2
l
0
0
ZZ
ZZ
in
inin
L
inR
ZZ
2
1
0in LRZZ 01 L
Lin
RZZ
RZZ
0
2
1
0
2
1
![Page 93: Curs 4 2016/2017rf-opto.etti.tuiasi.ro/docs/files/DCMR Curs 4_2016.pdf · Matricea S poate fi extinsa (generalizata) pentru multiporti (n-porturi) i V k i i ii k V V S z 0, j V k](https://reader030.vdocuments.site/reader030/viewer/2022040319/5e42f1fc0622372d67468c0a/html5/thumbnails/93.jpg)
Punct de vedere fizic
1T
![Page 94: Curs 4 2016/2017rf-opto.etti.tuiasi.ro/docs/files/DCMR Curs 4_2016.pdf · Matricea S poate fi extinsa (generalizata) pentru multiporti (n-porturi) i V k i i ii k V V S z 0, j V k](https://reader030.vdocuments.site/reader030/viewer/2022040319/5e42f1fc0622372d67468c0a/html5/thumbnails/94.jpg)
Punct de vedere fizic
00 0
2
1 LRZZ
![Page 95: Curs 4 2016/2017rf-opto.etti.tuiasi.ro/docs/files/DCMR Curs 4_2016.pdf · Matricea S poate fi extinsa (generalizata) pentru multiporti (n-porturi) i V k i i ii k V V S z 0, j V k](https://reader030.vdocuments.site/reader030/viewer/2022040319/5e42f1fc0622372d67468c0a/html5/thumbnails/95.jpg)
(doar) la frecventa f0
24
2 0
0
0
l
4
0l
)tan(
)tan(
1
11
lZjZ
lZjZZZ
L
Lin
)tan( lt
not
tZjZ
tZjZZZ
L
Lin
1
11
LZZZ 01
lnot
![Page 96: Curs 4 2016/2017rf-opto.etti.tuiasi.ro/docs/files/DCMR Curs 4_2016.pdf · Matricea S poate fi extinsa (generalizata) pentru multiporti (n-porturi) i V k i i ii k V V S z 0, j V k](https://reader030.vdocuments.site/reader030/viewer/2022040319/5e42f1fc0622372d67468c0a/html5/thumbnails/96.jpg)
calitatea adaptarii coeficient de reflexie in putere
222 1tan1sec
cos
1sec
t
![Page 97: Curs 4 2016/2017rf-opto.etti.tuiasi.ro/docs/files/DCMR Curs 4_2016.pdf · Matricea S poate fi extinsa (generalizata) pentru multiporti (n-porturi) i V k i i ii k V V S z 0, j V k](https://reader030.vdocuments.site/reader030/viewer/2022040319/5e42f1fc0622372d67468c0a/html5/thumbnails/97.jpg)
ne intereseaza frecventa in jurul frecventei la care facem adaptarea (banda ingusta)
0ff 1tan1sec 22 4
0l2
cos2 0
0
L
L
ZZ
ZZ
![Page 98: Curs 4 2016/2017rf-opto.etti.tuiasi.ro/docs/files/DCMR Curs 4_2016.pdf · Matricea S poate fi extinsa (generalizata) pentru multiporti (n-porturi) i V k i i ii k V V S z 0, j V k](https://reader030.vdocuments.site/reader030/viewer/2022040319/5e42f1fc0622372d67468c0a/html5/thumbnails/98.jpg)
Definim un maxim acceptat pentru coeficientul de reflexie Гm care va defini banda adaptarii, θm
in linii TEM
00
0
24
12
4 f
f
f
v
v
fl
f
f
02 ff m
m
0
0
2
1
0
0
0
2
1cos
42
42
2
ZZ
ZZ
f
ff
f
f
L
L
m
mmm
![Page 99: Curs 4 2016/2017rf-opto.etti.tuiasi.ro/docs/files/DCMR Curs 4_2016.pdf · Matricea S poate fi extinsa (generalizata) pentru multiporti (n-porturi) i V k i i ii k V V S z 0, j V k](https://reader030.vdocuments.site/reader030/viewer/2022040319/5e42f1fc0622372d67468c0a/html5/thumbnails/99.jpg)
Pentru linii non TEM constanta de propagare nu depinde liniar de frecventa, dar in practica influenta este minora in banda ingusta
Sunt neglijate reactantele introduse de discontinuitati (Z0 -> Z1). Compensarea se face printr-o mica modificare a lungimii liniei
Banda depinde de dezadaptarea initiala
cu cat dezadaptarea este mai mica cu atat banda se obtine mai larga
![Page 100: Curs 4 2016/2017rf-opto.etti.tuiasi.ro/docs/files/DCMR Curs 4_2016.pdf · Matricea S poate fi extinsa (generalizata) pentru multiporti (n-porturi) i V k i i ii k V V S z 0, j V k](https://reader030.vdocuments.site/reader030/viewer/2022040319/5e42f1fc0622372d67468c0a/html5/thumbnails/100.jpg)
Transformator de adaptare cu o singura sectiune (λ/4) pentru a adapta o sarcina de 10Ω la o linie de 50 Ω la frecventa f0=3GHz
banda pentru SWR<1.5
![Page 101: Curs 4 2016/2017rf-opto.etti.tuiasi.ro/docs/files/DCMR Curs 4_2016.pdf · Matricea S poate fi extinsa (generalizata) pentru multiporti (n-porturi) i V k i i ii k V V S z 0, j V k](https://reader030.vdocuments.site/reader030/viewer/2022040319/5e42f1fc0622372d67468c0a/html5/thumbnails/101.jpg)
simulare ADS
GHzf 88.0
51033 GHz
2933.03
88.0
0
f
f
![Page 102: Curs 4 2016/2017rf-opto.etti.tuiasi.ro/docs/files/DCMR Curs 4_2016.pdf · Matricea S poate fi extinsa (generalizata) pentru multiporti (n-porturi) i V k i i ii k V V S z 0, j V k](https://reader030.vdocuments.site/reader030/viewer/2022040319/5e42f1fc0622372d67468c0a/html5/thumbnails/102.jpg)
![Page 103: Curs 4 2016/2017rf-opto.etti.tuiasi.ro/docs/files/DCMR Curs 4_2016.pdf · Matricea S poate fi extinsa (generalizata) pentru multiporti (n-porturi) i V k i i ii k V V S z 0, j V k](https://reader030.vdocuments.site/reader030/viewer/2022040319/5e42f1fc0622372d67468c0a/html5/thumbnails/103.jpg)
Transformatorul in sfert de lungime de unda permite adaptarea oricarei impedante reale cu orice impedanta a fiderului (liniei).
Daca banda necesara este mai mare decat cea oferita de transformatorul in sfert de lungime de unda se folosesc transformatoare multisectiune
caracteristica binomiala
tip Cebîşev
![Page 104: Curs 4 2016/2017rf-opto.etti.tuiasi.ro/docs/files/DCMR Curs 4_2016.pdf · Matricea S poate fi extinsa (generalizata) pentru multiporti (n-porturi) i V k i i ii k V V S z 0, j V k](https://reader030.vdocuments.site/reader030/viewer/2022040319/5e42f1fc0622372d67468c0a/html5/thumbnails/104.jpg)
![Page 105: Curs 4 2016/2017rf-opto.etti.tuiasi.ro/docs/files/DCMR Curs 4_2016.pdf · Matricea S poate fi extinsa (generalizata) pentru multiporti (n-porturi) i V k i i ii k V V S z 0, j V k](https://reader030.vdocuments.site/reader030/viewer/2022040319/5e42f1fc0622372d67468c0a/html5/thumbnails/105.jpg)
jjj eTTeTTeTT 622
332112
42
232112
2321121
12
121
ZZ
ZZ
12
2
23
ZZ
ZZ
L
L
21
2121
21
ZZ
ZT
21
1212
21
ZZ
ZT
0
223
2321121
n
jnnnj eeTT
![Page 106: Curs 4 2016/2017rf-opto.etti.tuiasi.ro/docs/files/DCMR Curs 4_2016.pdf · Matricea S poate fi extinsa (generalizata) pentru multiporti (n-porturi) i V k i i ii k V V S z 0, j V k](https://reader030.vdocuments.site/reader030/viewer/2022040319/5e42f1fc0622372d67468c0a/html5/thumbnails/106.jpg)
Daca diferentele intre Z1 Z2 si Z2 ZL sunt mici putem aproxima:
0
223
2321121
n
jnnnj eeTT
11
1
0
xx
xn
n
j
j
e
e2
31
231
1
je 231
![Page 107: Curs 4 2016/2017rf-opto.etti.tuiasi.ro/docs/files/DCMR Curs 4_2016.pdf · Matricea S poate fi extinsa (generalizata) pentru multiporti (n-porturi) i V k i i ii k V V S z 0, j V k](https://reader030.vdocuments.site/reader030/viewer/2022040319/5e42f1fc0622372d67468c0a/html5/thumbnails/107.jpg)
Presupunem ca toate impedantele cresc sau descresc uniform
Toti coeficientii de reflexie vor fi reali si de acelasi semn
Anterior
01
011
ZZ
ZZ
nn
nnn
ZZ
ZZ
1
1
NL
NLN
ZZ
ZZ
1,1 Nn
je 231
jNN
jj eee 242
210
![Page 108: Curs 4 2016/2017rf-opto.etti.tuiasi.ro/docs/files/DCMR Curs 4_2016.pdf · Matricea S poate fi extinsa (generalizata) pentru multiporti (n-porturi) i V k i i ii k V V S z 0, j V k](https://reader030.vdocuments.site/reader030/viewer/2022040319/5e42f1fc0622372d67468c0a/html5/thumbnails/108.jpg)
Realizez transformatorul simetric Aceasta nu implica faptul ca impedantele
sunt egale 22110 ,, NNN
jNN
jj eee 242
210
442
2210
NjNjNjNjjNjNjN eeeeeee
nNNNe njN 2cos2coscos2 10
ultimul termen:
par2
12/ nN
imparcos2/1 nN
![Page 109: Curs 4 2016/2017rf-opto.etti.tuiasi.ro/docs/files/DCMR Curs 4_2016.pdf · Matricea S poate fi extinsa (generalizata) pentru multiporti (n-porturi) i V k i i ii k V V S z 0, j V k](https://reader030.vdocuments.site/reader030/viewer/2022040319/5e42f1fc0622372d67468c0a/html5/thumbnails/109.jpg)
Coeficient de reflexie
aleg coeficientii astfel incat sa obtin o variatie dorita (a polinomului)
jNN
jj eee 242
210
xe j 2
NN xaxaxaaxf 2
210
![Page 110: Curs 4 2016/2017rf-opto.etti.tuiasi.ro/docs/files/DCMR Curs 4_2016.pdf · Matricea S poate fi extinsa (generalizata) pentru multiporti (n-porturi) i V k i i ii k V V S z 0, j V k](https://reader030.vdocuments.site/reader030/viewer/2022040319/5e42f1fc0622372d67468c0a/html5/thumbnails/110.jpg)
Raspunsul acestui transformator este de tip maxim plat in jurul frecventei de adaptare
Pentru N sectiuni se anuleaza primele N-1 derivate ale functiei |Γ(θ)|
0;02 2
n
n
d
d
NxAxf 1
NjeA 21
NNN
jjN
j AeeeA cos2
1,1 Nn24
ll
![Page 111: Curs 4 2016/2017rf-opto.etti.tuiasi.ro/docs/files/DCMR Curs 4_2016.pdf · Matricea S poate fi extinsa (generalizata) pentru multiporti (n-porturi) i V k i i ii k V V S z 0, j V k](https://reader030.vdocuments.site/reader030/viewer/2022040319/5e42f1fc0622372d67468c0a/html5/thumbnails/111.jpg)
A, θ 0 , liniile de lungime 0, dispar
dezvoltarea binomului
Coeficientii de reflexie
NNN
nnNNN
NxCxCxCCxxf 101
!!
!
nnN
NC n
N
0
0
0
0 220ZZ
ZZA
ZZ
ZZA
L
LN
L
LN
jNN
jj eee 242
210
nNn CA
NjeA 21
![Page 112: Curs 4 2016/2017rf-opto.etti.tuiasi.ro/docs/files/DCMR Curs 4_2016.pdf · Matricea S poate fi extinsa (generalizata) pentru multiporti (n-porturi) i V k i i ii k V V S z 0, j V k](https://reader030.vdocuments.site/reader030/viewer/2022040319/5e42f1fc0622372d67468c0a/html5/thumbnails/112.jpg)
nNn CA
n
n
nn
nnn
Z
Z
ZZ
ZZ 1
1
1 ln2
1
1
1
12ln
xx
xx
00
01 ln22222lnZ
ZC
ZZ
ZZCA
Z
Z LnN
N
L
LNnNn
n
n
0
1 ln2lnlnZ
ZCZZ Ln
NN
nn
Proiectare
0
02ZZ
ZZA
L
LN
![Page 113: Curs 4 2016/2017rf-opto.etti.tuiasi.ro/docs/files/DCMR Curs 4_2016.pdf · Matricea S poate fi extinsa (generalizata) pentru multiporti (n-porturi) i V k i i ii k V V S z 0, j V k](https://reader030.vdocuments.site/reader030/viewer/2022040319/5e42f1fc0622372d67468c0a/html5/thumbnails/113.jpg)
Banda, Γm maxim tolerat
N
mN
mm A cos2
Nm
mA
1
1
2
1cos
N
mmm
Af
ff
f
f
1
1
0
0
0 2
1cos
42
42
2
![Page 114: Curs 4 2016/2017rf-opto.etti.tuiasi.ro/docs/files/DCMR Curs 4_2016.pdf · Matricea S poate fi extinsa (generalizata) pentru multiporti (n-porturi) i V k i i ii k V V S z 0, j V k](https://reader030.vdocuments.site/reader030/viewer/2022040319/5e42f1fc0622372d67468c0a/html5/thumbnails/114.jpg)
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Transformator de adaptare cu 3 sectiuni pentru a adapta o sarcina de 30Ω la o linie de 100 Ω la frecventa f0=3GHz, Γm=0.1
N = 3
30LZ 1000Z
0.07525ln2
12
01
0
0
Z
Z
ZZ
ZZA L
NL
LN
1!0!3
!30
3
C 3!1!2
!31
3
C 3!2!1
!32
3
C
![Page 117: Curs 4 2016/2017rf-opto.etti.tuiasi.ro/docs/files/DCMR Curs 4_2016.pdf · Matricea S poate fi extinsa (generalizata) pentru multiporti (n-porturi) i V k i i ii k V V S z 0, j V k](https://reader030.vdocuments.site/reader030/viewer/2022040319/5e42f1fc0622372d67468c0a/html5/thumbnails/117.jpg)
0n
4.455100
30ln12100lnln2lnln 3
0
0301
Z
ZCZZ LN
03.861Z
1n
77.542Z
2n
552.3100
30ln3277.54lnln2lnln 3
0
2323
Z
ZCZZ LN
87.343Z
4.003100
30ln3203.86lnln2lnln 3
0
1312
Z
ZCZZ LN
![Page 118: Curs 4 2016/2017rf-opto.etti.tuiasi.ro/docs/files/DCMR Curs 4_2016.pdf · Matricea S poate fi extinsa (generalizata) pentru multiporti (n-porturi) i V k i i ii k V V S z 0, j V k](https://reader030.vdocuments.site/reader030/viewer/2022040319/5e42f1fc0622372d67468c0a/html5/thumbnails/118.jpg)
74.00.07525
1.0
2
1arccos
42
2
1arccos
42
311
0
N
m
Af
f
GHzf 22.2
![Page 119: Curs 4 2016/2017rf-opto.etti.tuiasi.ro/docs/files/DCMR Curs 4_2016.pdf · Matricea S poate fi extinsa (generalizata) pentru multiporti (n-porturi) i V k i i ii k V V S z 0, j V k](https://reader030.vdocuments.site/reader030/viewer/2022040319/5e42f1fc0622372d67468c0a/html5/thumbnails/119.jpg)
Similar Lab. 1
GHzf 169.2
6105.33 GHz
![Page 120: Curs 4 2016/2017rf-opto.etti.tuiasi.ro/docs/files/DCMR Curs 4_2016.pdf · Matricea S poate fi extinsa (generalizata) pentru multiporti (n-porturi) i V k i i ii k V V S z 0, j V k](https://reader030.vdocuments.site/reader030/viewer/2022040319/5e42f1fc0622372d67468c0a/html5/thumbnails/120.jpg)
Raspunsul acestui transformator este de tip echiriplu in jurul frecventei de adaptare
mareste banda in detrimentul riplului in banda de adaptare
Se egaleaza functia Γ(θ) cu un polinom Cebîşev
![Page 121: Curs 4 2016/2017rf-opto.etti.tuiasi.ro/docs/files/DCMR Curs 4_2016.pdf · Matricea S poate fi extinsa (generalizata) pentru multiporti (n-porturi) i V k i i ii k V V S z 0, j V k](https://reader030.vdocuments.site/reader030/viewer/2022040319/5e42f1fc0622372d67468c0a/html5/thumbnails/121.jpg)
Echiriplu
xxT 1
12 2
2 xxT
xxxT 34 3
3
188 24
4 xxxT
xTxxTxT nnn 212
111 xTx n
![Page 122: Curs 4 2016/2017rf-opto.etti.tuiasi.ro/docs/files/DCMR Curs 4_2016.pdf · Matricea S poate fi extinsa (generalizata) pentru multiporti (n-porturi) i V k i i ii k V V S z 0, j V k](https://reader030.vdocuments.site/reader030/viewer/2022040319/5e42f1fc0622372d67468c0a/html5/thumbnails/122.jpg)
Se poate arata ca:
nNNNe njN 2cos2coscos2 10
ultimul termen:
par2
12/ nN
imparcos2/1 nN
jNN
jj eee 242
210
xe j 2
NN xaxaxaaxf 2
210
cosx
xnxTn arccoscos )(coshcosh)( 1 xnxTn1x 1x
nTn coscos
1x
![Page 123: Curs 4 2016/2017rf-opto.etti.tuiasi.ro/docs/files/DCMR Curs 4_2016.pdf · Matricea S poate fi extinsa (generalizata) pentru multiporti (n-porturi) i V k i i ii k V V S z 0, j V k](https://reader030.vdocuments.site/reader030/viewer/2022040319/5e42f1fc0622372d67468c0a/html5/thumbnails/123.jpg)
Schimbare de variabila
cos
1sec
1 xm
1 xm
m
x
cos
cos
cossec mx
![Page 124: Curs 4 2016/2017rf-opto.etti.tuiasi.ro/docs/files/DCMR Curs 4_2016.pdf · Matricea S poate fi extinsa (generalizata) pentru multiporti (n-porturi) i V k i i ii k V V S z 0, j V k](https://reader030.vdocuments.site/reader030/viewer/2022040319/5e42f1fc0622372d67468c0a/html5/thumbnails/124.jpg)
Cautam coeficientii pentru a obtine un polinom Cebîşev
cosseccossec1 mmT
12cos1seccossec 2
2 mmT
cossec3cos33cosseccossec 3
3 mmmT
112cossec432cos44cosseccossec 24
4 mmmT
nNNNe njN 2cos2coscos2 10
ultimul termen:
par2
12/ nN
imparcos2/1 nN
cossec mNjN TeA
![Page 125: Curs 4 2016/2017rf-opto.etti.tuiasi.ro/docs/files/DCMR Curs 4_2016.pdf · Matricea S poate fi extinsa (generalizata) pentru multiporti (n-porturi) i V k i i ii k V V S z 0, j V k](https://reader030.vdocuments.site/reader030/viewer/2022040319/5e42f1fc0622372d67468c0a/html5/thumbnails/125.jpg)
A, θ 0 , liniile de lungime 0, dispar
mN
L
L TAZZ
ZZsec0
0
0
mNL
L
TZZ
ZZA
sec
1
0
0
00
0 ln2
11sec
Z
Z
ZZ
ZZT L
mL
L
m
mN
)(coshcosh)( 1 xnxTn
m
L
L
L
m
m
ZZ
NZZ
ZZ
N 2
lncosh
1cosh
1cosh
1coshsec 01
0
01
mm
f
ff
f
f 42
2
0
0
0
Am
![Page 126: Curs 4 2016/2017rf-opto.etti.tuiasi.ro/docs/files/DCMR Curs 4_2016.pdf · Matricea S poate fi extinsa (generalizata) pentru multiporti (n-porturi) i V k i i ii k V V S z 0, j V k](https://reader030.vdocuments.site/reader030/viewer/2022040319/5e42f1fc0622372d67468c0a/html5/thumbnails/126.jpg)
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Transformator de adaptare cu 3 sectiuni pentru a adapta o sarcina de 30Ω la o linie de 100 Ω la frecventa f0=3GHz, Γm=0.1
N = 3
30LZ 1000Z
cosseccos3cos2 33
103
mjj TAee
1.0 mA
362.1
1.02
10030lncosh
3
1cosh
2
lncosh
1coshsec 101
m
Lm
ZZ
N
76.42746.0
sec
1arccos rad
m
m
mNL
L
TZZ
ZZA
sec
1
0
0
00 AZZL 1.0A
![Page 129: Curs 4 2016/2017rf-opto.etti.tuiasi.ro/docs/files/DCMR Curs 4_2016.pdf · Matricea S poate fi extinsa (generalizata) pentru multiporti (n-porturi) i V k i i ii k V V S z 0, j V k](https://reader030.vdocuments.site/reader030/viewer/2022040319/5e42f1fc0622372d67468c0a/html5/thumbnails/129.jpg)
cossec3cos33cosseccos3cos2 310 mm AA
mA 30 sec2 1263.00
cos mmA secsec32 31 1747.01
3cos
simetrie: 1203 ;
![Page 130: Curs 4 2016/2017rf-opto.etti.tuiasi.ro/docs/files/DCMR Curs 4_2016.pdf · Matricea S poate fi extinsa (generalizata) pentru multiporti (n-porturi) i V k i i ii k V V S z 0, j V k](https://reader030.vdocuments.site/reader030/viewer/2022040319/5e42f1fc0622372d67468c0a/html5/thumbnails/130.jpg)
0n
4.3531263.02100ln2lnln 001 ZZ
68.771Z
1n
77.542Z
2n
62.383Z
1263.00
1747.01
4.0031747.0268.77ln2lnln 112 ZZ
654.31747.0277.54ln2lnln 223 ZZ
![Page 131: Curs 4 2016/2017rf-opto.etti.tuiasi.ro/docs/files/DCMR Curs 4_2016.pdf · Matricea S poate fi extinsa (generalizata) pentru multiporti (n-porturi) i V k i i ii k V V S z 0, j V k](https://reader030.vdocuments.site/reader030/viewer/2022040319/5e42f1fc0622372d67468c0a/html5/thumbnails/131.jpg)
GHzf 15.3
045.1
180
76.4242
42
2
0
0
0
mm
f
ff
f
f
![Page 132: Curs 4 2016/2017rf-opto.etti.tuiasi.ro/docs/files/DCMR Curs 4_2016.pdf · Matricea S poate fi extinsa (generalizata) pentru multiporti (n-porturi) i V k i i ii k V V S z 0, j V k](https://reader030.vdocuments.site/reader030/viewer/2022040319/5e42f1fc0622372d67468c0a/html5/thumbnails/132.jpg)
Similar Lab. 1
GHzf 096.3
51017.43 GHz
09925.0282.2 GHz
![Page 133: Curs 4 2016/2017rf-opto.etti.tuiasi.ro/docs/files/DCMR Curs 4_2016.pdf · Matricea S poate fi extinsa (generalizata) pentru multiporti (n-porturi) i V k i i ii k V V S z 0, j V k](https://reader030.vdocuments.site/reader030/viewer/2022040319/5e42f1fc0622372d67468c0a/html5/thumbnails/133.jpg)
Laboratorul de microunde si optoelectronica http://rf-opto.etti.tuiasi.ro [email protected]