subcarrier diversity matlab

8/10/2019 Subcarrier Diversity Matlab

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echo off;clear all;close all;clc;

fprintf( 'OFDM\n') ;

tic

% --------------------------------------------- %% %

% --------------------------------------------- %

% nitiali!e the para"eters

#$"oop & ;

#$"$*c & +,;


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#$". & ,;

/ncDela/ & ;

% 012 +,

% 34 56 +


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% --------------------------------------------- %

% GHM MODRHAO# %


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% --------------------------------------------- %


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% Senerate the ranTo" *inar/ strea" for trans"it test

UitsAV & floor(ranT(W#$"oop@#$"$*c)@+);

% MoT$late (Senerates GHM s/"*ols)

% inp$tX UitsAV(W#$"oop@#$"$*c); o$tp$tX /"GHM(#$"oopW#$"$*c4+)/"GHMt"p & reshape(UitsAVW+W#$"oop@#$"$*c4+)Y';

/"GHMt"pt"p & *i+Te(/"GHMt"pW+W'left-"s*');

%--------------------------------------------------------------------


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% Z[]


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% *i+Tebdgjkm+CC

% D & U+Dq(YYYWMUFHS) $ses MUFHS to Teter"ine the inp$t

orientationY

% MUFHS has to possi*le àl$esW 'ri^ht-"s*' anT 'left-"s*'Y

Siìn^ a

% 'ri^ht-"s*' MUFHS Toes not chanê the f$nction's Tefa$lt

*ehaìorY

% Siìn^ a 'left-"s*' MUFHS flips the inp$t orientation s$ch that

the

% MU is on the leftY

% % % D & U+Dq(YYYW.) conèrts a *ase . èctor to a Teci"al àl$eY

% % qVa"plesX

% % U & ; u;

% % A & ; + u;% % D & *i+Te(U) D & *i+Te(UW'left-"s*') D &

*i+Te(AW)

% % D & D & D &

% % + +

% % v v

%--------------------------------------------------------------------

% GHM "oT$lation

% ---iW--wiW--iW-wi

% xyz{|}GHM~GHMAa*le & --i -wi -i wiu;

/"GHM & GHMAa*le(/"GHMt"pt"pw);

% --------------------------------------------- %

% FFA %

% --------------------------------------------- %

% inp$tX /"GHM(#$"oopW#$"$*c4+); o$tp$tX /"FFA(#$"$*cW#$"oop)

/"FFA & !eros(#$"$*cW#$"oop);

/"FFAt"p & reshape(/"GHMW#$"$*c4+W#$"oop);

/"FFAt"pt"p & !eros(#$"$*cW#$"oop);


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/"FFAt"pt"p(WX) & real(/"FFAt"p(WX)); %

/"FFAt"pt"p(#$"$*c4+wWX) & i"a^(/"FFAt"p(WX)); %

%

% ifft4fft #

% #4+

% #4+ #4+w #-#4+

/"FFAt"pt"p(+X#$"$*c4+WX) & /"FFAt"p(+X#$"$*c4+WX);

/"FFAt"pt"p((#$"$*c4+w+)X#$"$*cWX) &

flipTi"(con(/"FFAt"p(+X#$"$*c4+WX))W);


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%--------------------------------------------------------------------

% Z[]

% U & flipTi"(HWTi") ret$rns H ith Ti"ension Ti" flippeTY

% hen the `al$e of Ti" is W the arra/ is flippeT ro-ise TonY

hen Ti" is +W

% the arra/ is flippeT col$"nise left to ri^htY flipTi"(HW) is the

sa"e as

% flip$T(H)W anT flipTi"(HW+) is the sa"e as fliplr(H)Y

%--------------------------------------------------------------------


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% % a & + ; v ?; , ; +u

% % a &

% % +

% % v ?

% % ,

% % +

% % * & flipTi"(aW)

% % * &

% % +

% % ,

% % v ?

% % +

/"FFA & ifft(/"FFAt"pt"pW#$"$*cW);

% --------------------------------------------- %

% HTT c/clic prefiV %

% --------------------------------------------- %

% inp$tX /"FFA(#$"$*cW#$"oop); o$tp$tX /".(#$"$*c w

#$".W#$"oop)

#$"HTT.refiV & #$"$*c w #$".;

/". & !eros(#$"HTT.refiVW#$"oop);

o.refiV & (#$"$*c - #$". w )X#$"$*c;

/". & /"FFA(o.refiVWX);/"FFAu;

% --------------------------------------------- %

% So thro$^h the channel %

% --------------------------------------------- %

% inp$tX /".(#$"$*c w #$".W#$"oop); o$tp$tX /"h(W(#$"$*c w

#$".)@#$"oop)

/"h & !eros(W(#$"$*c w #$".)@#$"oop);

/"ht"p & /".(X)Y'; % }

% bd }d

h & 4+ 4u;

/"ht"pt"p & filter(hWW/"ht"p);

%--------------------------------------------------------------------

% Z[]


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% Firlter Tata ith an infinite i"p$lse response () or finite

i"p$lse response

% (F) filter


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% / & filter(*WaW) filters the Tata in èctor ith the filter

Tescri*eT */

% n$"erator coefficient èctor * anT Teno"inator coefficient èctor

aY f a() is

% not e_$al to W filter nor"ali!es the filter coefficients */ a()Y

f a() e_$als

% W filter ret$rns an errorY

%--------------------------------------------------------------------


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% f is a "atriVW filter operates on the col$"ns of Y f is a

"$ltiTi"ensional

% arra/W filter operates on the first nonsin^leton Ti"ensionY

%--------------------------------------------------------------------

% HTT the HS#

UernrAa*le & !eros(+W);

for snr&X; % & # w @lo^(lo^+(+));

UernrAa*le(snrwW) & snr;

/"h & a^n(/"ht"pt"pWsnrW'"eas$reT');

%--------------------------------------------------------------------

% Z[]

% HS# HTT hite Sa$ssian noise to a si^nalY

% & HS#(W#) aTTs hite Sa$ssian noise to Y Ahe # is in

TUY

% Ahe poer of is ass$"eT to *e TUY f is co"pleVW then

% HS# aTTs co"pleV noiseY

% ------------------------------------------------------------------

% & HS#(W#WS.Oq) hen S.Oq is n$"ericW it

represents

% the si^nal poer in TUY hen S.Oq is '"eas$reT'W HS#

"eas$res


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% the si^nal poer *efore aTTin^ noiseY

%

---------------------------------------------------------------------


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% & HS#(W#WS.OqWAHAq) resets the state of H#D# to

AHAqY

%

% & HS#(YYYW .OqA.q) specifies the $nits of # anT

S.OqY

% .OqA.q can *e 'T*' or 'linear'Y f .OqA.q is 'T*'W then

#


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% is "eas$reT in TU anT S.Oq is "eas$reT in TUY f

.OqA.q is

% 'linear'W then # is "eas$reT as a ratio anT S.Oq is

"eas$reT

% in attsY

%

% qVa"pleX Ao specif/ the poer of to *e TU anT aTT noise to

proT$ce

% an # of TUW $seX

% & s_rt(+)@sin(Xpi4,X?@pi);

% & HS#(WW);


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% qVa"pleX Ao ca$se HS# to "eas$re the poer of W set H#D# to

the

% +th state anT aTT noise to proT$ce a linear # of

W $seX

% & s_rt(+)@sin(Xpi4,X?@pi);


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% & HS#(WW'"eas$reT'W+W'linear');

% --------------------------------------------- %


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% e"o`e S$arT nter`als %

% --------------------------------------------- %


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% inp$tX /"h(W(#$"$*c w #$".)@#$"oop); o$tp$tX

/"De.(#$"$*cW#$"oop)

/"De. & !eros(#$"$*cW#$"oop);

/"De.t"p & reshape(/"hW#$"$*c w #$".W#$"oop);

/"De. & /"De.t"p((#$".ww/ncDela/)X#$"HTT.refiVw/ncDela/WX);

% --------------------------------------------- %

% FFA %

% --------------------------------------------- %

% inp$tX /"De.(#$"$*cW#$"oop); o$tp$tX /"FFA(#$"$*cW#$"oop)

/"FFA & fft(/"De.W#$"$*cW);

% --------------------------------------------- %

% Mae Decision(ncl$Te DeGHM) %

% --------------------------------------------- %% /"FFA(#$"$*cW#$"oop); o$tp$tX /"Dec(#$"$*cW#$"oop)

/"Dec & !eros(#$"$*cW#$"oop);

/"q_t"p(WX) & /"FFA(WX)wi@/"FFA(#$"$*c4+wWX);

/"q_t"p(+X#$"$*c4+WX) & /"FFA(+X#$"$*c4+WX);

for " & X#$"oop

for n & X#$"$*c4+

eal & real(/"q_t"p(nW"));

"a^ & i"a^(/"q_t"p(nW"));


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if( a*s((eal -)) a*s((eal w)))

/"Dec(+@n-W") & ;

else

/"Dec(+@n-W") & ;

enT

if( a*s(("a^ -)) a*s(("a^ w )) )

/"Dec(+@nW") & ;

else

/"Dec(+@nW") & ;

enT

enT


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enT

%

---------------------------------------------------------------------

% Aest */ la`a*in% Hnother a/ to DeGHM

% GHMAa*le & --i -wi -i wiu;


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% ---iW--wiW--iW-wi

Aest/"Dec & !eros(#$"$*cW#$"oop);

Aest/"q_t"p(WX) & /"FFA(WX)wi@/"FFA(#$"$*c4+wWX);

Aest/"q_t"p(+X#$"$*c4+WX) & /"FFA(+X#$"$*c4+WX);

Aest/"q_t"p & reshape(Aest/"q_t"pWW#$"$*c@#$"oop4+);

"inT & !eros(si!e(Aest/"q_t"p));

"inTTT & !eros(W#$"$*c@#$"oop);

T & !eros(W);

"ininTeV & ;


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for ii & XX(#$"$*c@#$"oop4+)

for & X

T() & a*s(Aest/"q_t"p(ii) - GHMAa*le());

enT


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"inT(ii)W"ininTeVu & "in(T);

% % Wu & M#() ret$rns the inTices of the "ini"$" `al$es in

`ector Y

sitch "ininTeV

case


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"inTTT(+@ii) & ;

case

"inTTT(+@ii-) & ;

"inTTT(+@ii) & ;

otherise

fprintf('"possi*le error \n\n');


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enT

enT

%--------------------------------------------------------------------

% Z[]

% % & "in(H) ret$rns the s"allest ele"ents alon^ Tifferent

Ti"ensions of an


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% % arra/Y

% % f H is a `ectorW "in(H) ret$rns the s"allest ele"ent in HY

% % f H is a "atriVW "in(H) treats the col$"ns of H as `ectorsW

ret$rnin^ a ro


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% % èctor containin^ the "ini"$" ele"ent fro" each col$"nY

% % Wu & "in(YYY) finTs the inTices of the "ini"$" àl$es of HW

anT ret$rns% % the" in o$tp$t èctor Y f there are seèral iTentical "ini"$"

àl$esW the

% % inTeV of the first one fo$nT is ret$rneTY

% Uit qrror

UitsV & !eros(W#$"$*c@#$"oop);

UitsV & /"Dec(X)Y';

#$"WUeru & s/"err(UitsAVWUitsV)

UernrAa*le(snrwW+) & #$" ;

UernrAa*le(snrwW) & Uer ;enT

%--------------------------------------------------------------------

% Aest */ laà*in


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if "inTTT && UitsV

fprintf('DeGHM to a/s the sa"e res$lts \n\n');

else

fprintf('DeGHM to a/s the Tifferent res$lts');


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enT

%--------------------------------------------------------------------

fi^$re();

s$*plot(+WW);

se"ilo^/(UernrAa*le(XW)WUernrAa*le(XW+)W'o-');


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s$*plot(+WW+);

se"ilo^/(UernrAa*le(XW)WUernrAa*le(XW)W'o-');

%--------------------------------------------------------------------

ti"eofsi" & toc


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echo on;

% --------------------------------------------- %

% Ahe q#D %

% --------------------------------------------- %

% OFDMK62K6

% 12+,12+12n$ll12(+

12

% )?1212

% E

clc;clear all;close all;echo off;tic;

% -------------------------------------------------------------------

% .ara"eter Definition

% --------------------------------------------------------------

FT & ; % s/"*ol rate (!)

Fs & @FT; % n$"*er of sa"ple per s/"*ol

M & ; % inT(ran^e) of s/"*ol (WW+W)

#Tata & +; % all trans"itteT Tata s/"*ol


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Tata & ?; % ? Tata s/"*ol per fra"e to ifft


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len & +,; % +, len^th s/"*ol for FFA

#s/" & #Tata4Tata; % n$"*er of fra"es - #s/" fra"e

Slen & ; % s/"*ol ith S insertion Slen & len w S

S & ?; % ^$arT inter`al len^th

% ----------------------------------------------------------------

% ector nitiali!ation


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& !eros(#TataW);

& !eros(#TataW);

+ & !eros(#TataW);

& !eros(lenW);

! & !eros(lenW);


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% is a #Tata-*/-+ "atriVW is chanêT into + */ a"oTce

& "oT"ap(W FTW FsW '_as'W M);

% coèrt to co"pleV n$"*er

+ & a"oTce(WW'_a"');% fi^$re();

% scatterplot(+Wlen^th(+)WW'*o');^riT on;

scatterplot(+WFTWW'*o');^riT on;

title('-GHM onstellation');

AVspectr$" & !eros(si!e());

for &X#s/";

for i&XTata;

(iwlen4+-Tata4+W)&+(iw(-)@TataW); AVspectr$" & AVspectr$" w a*s();

enT

!&ifft();

for i&Xlen; % ênerate ti"e-To"ain èctorW !W itho$t S

!(((-)@len)wi)&!(iW);

enT

%

for i&Xlen;


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^(iw?)&!(iW);

enT


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for i&XS;

^(i)&!(iwlen-SW);

enT

for i&XSlen; % ^enerate ti"e-To"ain `ectorW !+W ith S


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!+(((-)@Slen)wi)&^(iW);

enT

enT

% ^raph on ti"e To"ain

fi^$re(+);

f & linspace(-TataWTataWlen^th(!));

plot(fWa*s(!));


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& fft(!); % FFA operationW at recei`er

% if is $nTer Y &Yfor &X#Tata4Tata@len;

if a*s(()) Y

()&Y;

enT

enT

& @lo^(a*s()); % is $seT for spectr$" Tispla/Y

% ^raph on fre_$enc/ To"ain

fi^$re();

f & linspace(-TataWTataWlen^th());

plot(fW);^riT on;

aVis(-len4+ len4+ -+ +u);

title('ecei`eT OFDM si^nal spectr$"');

fi^$re();

f & linspace(-TataWTataWlen^th());

plot(fWa*s()W'*-'W'ineiTth'W?);^riT on;

aVis(-len4+ len4+ -+ +u);

title('Arans"itteT OFDM si^nal spectr$"');

si"$lationti"e & toc


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subcarrier diversity matlab

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