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Design of a 4-6GHz Wideband LNA in 0.13m
CMOS Technology
Sana Arshad
*
, Faiza Zafar and
Qamar-ul WahabDepartment of Electronic EngineeringNED University of Engineering & Technology
Karachi-75270, Pakistan*[email protected]
Abstract This paper presents the design of a single ended
wideband LNA utilizing reactive elements at the input and
output for impedance matching. It has been shown through
simulations that the LNA architecture utilizes components
similar to a narrowband design but achieves a much wider
bandwidth with high gain and low noise figure. The single ended
wideband LNA is based on 0.13-m CMOS technology from IBM
and simulated in Cadence SpectreRF. The LNA operates for
frequencies approximately between 4-6 GHz. The maximum gainof the LNA is 29.6 dB and average NF is 2.6 dB. The linearity
analysis shows the input referred P1dB and IIP3 of -25.07 dBm
and -13.47 dBm respectively. The two stage wideband LNA
consumes only 13.9 mA from a 1.5 V supply. It shows good
comparison with other LNAs designed for 4-6 GHz range with a
much higher gain and smaller NF.
I. INTRODUCTION
With the emergence of various communication standards,
the need for low cost and reconfigurable/wideband receiver
units is indispensable. The reconfigurable receivers usually
employ inductors for tuning to a specific frequency band and,
thus, occupy large area [1]-[3]. Wideband receivers havegained significant popularity during the past two decades since
they not only provide the flexibility of operation at various
frequencies simultaneously but can be made even without
inductors [4]-[5].
The low noise amplifier (LNA) is the main and first activeblock in any receiver. The performance metrics of a wideband
LNA are very critical compared to narrowband design.
Achieving high and flat gain with low noise figure (NF) is the
never-ending demand. This in conjunction with high linearity
and small power consumption makes the LNA design very
challenging. Several topologies for wideband LNAs have beenreported in literature, each trading off some parameter with the
other. The Distributed amplifiers are known for their largebandwidth but the gain is relatively small. The large area of
inductors limits their use in some applications, although NF
reduction techniques for distributed amplifiers have already
been proposed [6]. The Common Gate (CG) and resistivefeedback topologies are other ways of achieving wideband
behaviour but the former suffers from large NFmin and the
latter restricts the bandwidth to lower frequencies. The large
NF of CG LNA was worked out in [7] but NF could not go
below 2.5 dB. The resistive feedback topology suffers fromreduced bandwidth because the parasitic capacitances at the
input of the amplifier form low pass filter with the resistor and,
thus, degrade the response at high frequencies.
In this paper, we present the design of a wideband LNA
employing reactive elements similar to narrowband design to
achieve wideband input and output impedance matching. The
conventional cascode architecture has been used in
combination with reactive input network. Cascaded CS and
CG stages provide high gain and help in suppressing theMiller effect, thereby, rendering a better reverse isolation. Asecond cascode stage is also added to further increase the gain.
The conventional LNAs use a buffer for output impedance
matching (for measurement purpose) which degrades the gain
of the core LNA and increases power consumption. In our
design, the use of RLC combination at the output provides
wideband matching without trading-off the gain and power
consumption. A similar strategy has also been employed in [8]
for output impedance matching at the cost of gain.
The organisation of the paper is as follows. The wideband
LNA design theory is explained in Section II. Section III
discusses the layout of the LNA and post layout simulation
results are presented in Section IV. Finally the paper isconcluded in Section V.
II. THEORY AND ANALYSIS
In an LNA design, we need to optimize various
parameters such as gain, input and output impedances, NF,
linearity and power consumption. The source impedance for
good power match differs from the one at which noise figureis optimum [9]. Besides, there is an inverse relation between
gain and linearity of the LNA whereas power consumption
and linearity varies linearly with each other. It is apparent
from the above discussion that performance parameters of an
LNA are inter-related; therefore, optimizing one, degrades the
other. Hence, designing an LNA includes optimization of allof them or applying any technique to break the trade-off
between these quantities. It is almost impossible to achieve a
good LNA design just by altering the gate width and effective
gate voltages of the transistors [10].
Fig. 1 shows the schematic of our wideband LNA. Ingeneral, a common source (CS) amplifier with a degeneration
inductor offers a narrowband impedance matching inherently.
The generalized expression for the input impedance of a
degenerated CS transistor can be expressed as:
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Figure 1. The 4-6 GHz Wideband LNA
(1)
In our design, a series combination of inductor (L1) and
capacitor (C2) is added before the degenerated cascode pair.As the input impedance of the LNA has a reactive part, the L1,
L2, C1 and C2 combination helps in resonating this reactive
part over multiple frequencies within the band of interest, thus,
providing larger bandwidth. The capacitor, C2, in parallel with
Cgs of M1 also helps to further increase the bandwidth. Anapproximate analysis for the input impedance of the LNA
gives Zinas
(2)
The biasing of the main transistor, M1, is carried out by
means of a current mirror, M3, whereas the cascoded
transistor M2 is biased directly through the Vdd supply. The
use of a cascode pair provides a high gain with good reverseisolation. To further increase the gain, a second cascode stage
is added. Additionally, this stage totally isolates the input and
output matching of the LNA. Inductors, L3 and L4, at the
drain are placed to provide exact supply voltage values to the
drain of the transistors, M2 and M5. The resistors, R3 and R4,
are added for stability and also help in achieving a high gain.
Besides, resistor R4 also helps in output impedance matching.
It is a very common practice to design an LNA with abuffer at output for output impedance matching during LNA
measurement. However, this buffer degrades the gain of core
LNA since the buffer gain is smaller than 1. In addition to gain
reduction, the buffer also consumes extra power. Taking this
fact into account we have utilized a series LC combination for
output matching as well. The desired wideband impedancematch is achieved through the combined impedance of C4, L4,
R4 and L5.
The high gain of the LNA is primarily because of the two
gain stages as shown in Fig. 1. However, the power
consumption is still comparable to single stage designs [11].
The overall voltage gain is obtained by evaluating the gain of
each stage of LNA individually and multiplying them together.
(3)
where Av1 and Av2 are the gains of first and second stage
respectively. The individual voltage gains are calculated bythe method presented in [12] as follows:
(4)
(5)
where Gm1, Rout1 and Gm2, Rout2are the transconductances and
output impedances of the first and second stage respectively.
Approximate analysis using the method mentioned above
renders (6)(9). It should be noted that Rout2is also the total
output impedance of our LNA.
The stability of LNA is estimated through Rollett's Stability
criteria (K factor and ) given by (10) and (11) [1 3]. In ourdesign, all critical resistors, inductors and capacitors are
adjusted for stability rendering an unconditionally stable
frequency response for the LNA.
(10)
Where
(11
(6)
(7)
(8)
(9)
M1
M3
M2
R1
VDD
M5
R2
biasV
OUTRF
INRF L1 C1C2
L2
L3
R3
C3
BIASR
M4
R4
L4C4 L5
Stage 1 Stage 2
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For achieving stability through the Rollett's Stability Criterion,
the K 1 shall be met incombination with 0 < B1 < 1 where
(12)The simulated K factor and B1f values for our LNA are
presented in section IV.
In our two staged wideband LNA, total NF is dominated bythe NF of first stage. Also, the higher the gain of the first stage,
the smaller will be the noise contribution of the next stage.
This is in accordance with the Friis formula for finding the NF
of the cascaded stages as in (13) [14].
(13)
Where F is the total noise factor, F1 and F2 are the noise
factors of first and second stage respectively and G1is the first
stage gain. The drain current noise, gate induced noise from
the cascode stage (M1 and M2) and thermal noise from the
resistor are the major noise contributors since the effect of
second stage noise factor will be smaller due to high gain of
the first stage. For input impedance matching at which both
NF and power match are optimum, we obtain a minimum NF
of 1.9 dB in the passband.
III. LAYOUT DESIGN
Cadence Virtuoso Layout XL is used for designing the
LNA layout. Physical verification checks including DRC,LVS, and QRC have been successfully performed using
Assura 1.8.0.1DM. The LNA is designed using standard 1.5 V
thin oxide transistors. On-chip MIM capacitors and parallel
spiral inductors are used for the design. The maximum and
minimum values of inductors used are 4.25 nH and 1.07 nHrespectively.
After complete layout design, post-layout simulations were
performed to check the effects of parasitics on LNA results.
The track widths were then adjusted to keep both, the parasitic
resistance and capacitance, optimum. This helped to obtain
better NF and bandwidth from the layout as well. Together
with this, large number of transistor fingers also contributed toa reduced NF. The total area of the chip is 1.26 mm
2whereas
the effective area of layout covers only 0.5 mm2
excluding
bond pads. Fig. 2 shows the layout of the LNA.
IV.SIMULATION RESULTS
All simulations of the LNA are performed in CadenceSpectre RF using IBM 0.13-m CMOS technology. The gatewidths of transistors M1, M2, M4 and M5 are all chosen to be
90-m through simulations. The diode connected transistor
M3 for biasing, is set for a gate width of 3-m. As a result,
bias voltage of 0.65 volts appears at the gate of M1. The gate
voltages of M2, M4 and M5 are 1.5, 0.6 and 1.5 voltsrespectively. The selected gate widths and biasing allow the
transistors to operate well in the saturation region, thereby,
obtaining maximum signal swing through the cascode pairs to
achieve maximum gain. With a power supply of 1.5 V, theLNA draws only 13.9 mA current.
For a bandwidth nearly equal to 2 GHz (~4-6 GHz), the
simulated input (S11) and output (S22) port reflection
coefficients achieve values better than -10 dB and -5 dB
respectively. The average forward gain (S21) and reverse
isolation (S12) are 25.5 dB and -74.5 dB respectively in thepassband. These parameters are plotted in Fig. 3.
The NF of the LNA is plotted in Fig. 4 which shows a
minimum NF of 1.9 dB at a frequency of 4.1 GHz. The
stability analysis of the LNA indicates both K >1 and B1f < 1
over a large frequency span. This clearly indicates the
unconditional stability of our LNA. Fig. 5 shows the combined
plot of both K and B1f. The linearity analysis is performed
using the two tone test. Since the LNA is wideband in nature,
two tones (5 GHz and 5.01 GHz) with spacing of 10 MHz are
selected. This is to ensure that any intermodulation product
does not oscillate the LNA under any condition. The resulting
third order intermodulation product frequency is identified andthe input power is swept from -40 dBm to 0 dBm. The IIP3
obtained is -13.47 dBm as plotted in Fig. 6. The input referred
P1dB is -25.07 dBm as shown in Fig. 7.
A comparison of our LNA with other state-of-the-art LNAs
of similar frequency range, bandwidth and technology nodes is
presented in Table I. It is apparent that the gain of our LNA is
substantially higher compared to other wideband LNAs with
slight degradation in linearity and power consumption. The
average gain of 25.5 dB is among the best values reported in
0.13-m CMOS technology for 4-6 GHz frequency range with
NF as small as 1.9 dB in the passband.
Figure 2. Layout of the LNA
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Figure 3. Simulated S-Parameters
Figure 4. Simulated NF (NF= 1.9 dB at 4.1GHz)
Figure 7. Input referred 1 dB Compression Point
(P1dB= -25.07 dBm)
TABLE I.COMPARSION OF SINGLE ENDED CMOSLNAS
Figure 5. Stability factors K and B1f
Figure 6. IIP3 of the LNA (IIP3= -13.47 dBm)
1Avg. in passband 2Min. in passband
V.CONCLUSION
A wideband LNA in the range 4-6 GHz has been designedin IBM 0.13-m CMOS technology. The wideband operationis achieved by using RLC networks both at the input andoutput. The two staged cascaded cascode topology provideshigh gain. The post layout simulation results depict forwardgain as high as 29.6 dB and NF as low as 1.9 dB in the
passband. The simulated input referred P1dB and IIP3 are -
25.07 dBm and -13.47 dBm respectively. The two staged LNAconsumes only 13.9 mA from a 1.5 V supply. Input and outputimpedances are matched to 50 with reverse isolation of -74.5 dB. The results show that our simulated LNA is similar in
performance to other wideband LNAs designed in this rangebut with a much higher gain and better NF. The summary ofthe results is presented in Table II.
2 3 4 5 6 7-30
-20
-10
0
10
20
30
40
Frequency (GHz)
S
-Parameters(dB)
S11
S21
S22
4 4.5 5 5.5 6
2
3
4
Frequency (GHz)
Noise
Figure(dB)
NF
-40 -35 -30 -25 -20 -15 -10 -5 0-15
-10
-5
0
5
10
Input Power (dBm)
OutputPower(dBm)
1dB/dB
Input referred P1dB
= -25.07 dBm
2 3 4 5 6 70
1000
2000
Kf
Frequency (GHz)
2 3 4 5 6 70.5
0.6
0.7
0.8
0.9
1
B1f
Kf
B1f
-40 -35 -30 -25 -20 -15 -10 -5 0-80
-60
-40
-20
0
20
Input Power (dBm)
OutputPow
er(dBm)
1dB/dB3dB/dB
IIP3= -13.47 dBm
Ref. No. [15] [16] [17] [18] This
work
Tech
(m)
0.18 0.18 0.18 0.18 0.13
S11
(dB)
< -10.5
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TABLE II. SUMMARY OF RESULTS
1Avg.
ACKNOWLEDGEMENT
The authors would like to thank High PerformanceComputing Centre, NED University of Engineering &
Technology, for the technical support and other facilities.
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