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International Journal of VLSI design & Communication Systems (VLSICS) Vol.2, No.2, June 2011
DOI : 10.5121/vlsic.2011.2204 45
Performance Comparison of RF CMOS Low Noise
Amplifiers in 0.18- m technology scale
M.Sumathi*1
, S.Malarvizhi 2
*1
Research Scholar, Sathyabama University, Chennai -119,Tamilnadu
sumagopi206@gmail.com
2
HOD/ECE, SRM University, Kattankulathur – 603203, Kancheepuram District,
Tamilnadu
malarvizhig@rediffmail.com
Abstract
This paper presents the design theory of conventional single-ended LNA and differential LNA based on
CMOS technology. The design concepts give an useful indication to the design trade-offs associated with
NF, gain and impedance matching. Four LNA’s have been designed using technological design rules of
TSMC 0.18-µm CMOS technology and this work mainly proposed for IEEE 802.11a applications. With
1.8V supply voltage, the proposed LNA’s achieve a gain higher than 19dB, a noise figure less than 4dB and
impedance matching less than -10dB at 5GHz frequency. The goal of this paper is to highlight the efficient
LNA architecture for achieving simultaneous gain, noise and input matching at low supply voltage. The
performance of all LNA’s are analysed and compared using Agilent’s Advanced Design System Electronic
Design Automation tools.
Keywords: CMOS, Low Noise Amplifier (LNA), RF design, Wireless application.
1. Introduction
RF integrated circuits (RFIC’s) are the basic building blocks of portable wireless communication
devices. CMOS technology is one of the best technologies for realization of RF front-ends. This
is possible because of the following features such as low cost, continuous device scaling and high
integration. Due to an increasing demand on the consumer electronic services, the operating
frequency is moving towards the 5GHz band. According to this, it is desirable to introduce
innovative RF front-end designs. The simplified block diagram of RF front-end is shown in fig.1.
Low Noise Amplifiers, Mixers and Oscillators are the basic building blocks of RF front-end.
Figure.1. RF front-end
International Journal of VLSI design & Communication Systems (VLSICS) Vol.2, No.2, June 2011
46
In a typical design, LNA plays an important role because it is responsible for entire system
sensitivity. Therefore, it should fulfill several requirements on the performance .These include
providing a stable 50 ohms input impedance, minimizing the noise figure and supplying high gain
to suppress the noise of other stages[1]. Several low-power, low-voltage single-ended and
differential LNA designs have been reported [2-5]. All used simple cascode structure only in
LNA schematic and also performance analysis done only at 2.4GHz. In [7], [8] & [10] , the
following LNA objectives such as optimum gain, lowest noise figure and better impedance
matching are not satisfied simultaneously in performance analysis. The aim of this work is to
introduce an innovative LNA design structures for satisfying all design constraints and comparing
their performances. The paper is organized as follows. The design theory of conventional single-
ended and differential LNA discussed in Section 2.The proposed design structures and its
importance presented in Section 3.Section 4 presents the simulation results of the LNA’s ,which
is followed by the conclusion.
2. Conventional LNA design
Fig.2. shows the block diagram of LNA. The topology may be single-ended or differential. It is
composed of input matching, amplification and output matching blocks. The passive elements
used for matching which plays an important role in the overall performance of the circuit in terms
of gain and noise figure.
Figure2. Block diagram of LNA
2.1 Single-ended LNA
The conventional Single-ended LNA structure is shown in fig.3. It uses common source(CS)
transistor M1 and common gate (CG) transistor M2. Lg and Ls are used for input matching. The
small signal equivalent circuit is shiown in fig.4. used to evaluate the theoretical expression of
input impedance.
Figure3. Conventional Single-ended LNA topology
International Journal of VLSI design & Communication Systems (VLSICS) Vol.2, No.2, June 2011
47
Figure4. Small Signal model at input stage LNA for impedance
The combination of the gate and source equivalent inductance cancels the reactance of the
parasitic capacitance at the gate at resonance frequency ωo. The expression for input impedance
while looking at the gate of M1 is given in eqn.1
gs
sm
gso
soin
C
Lg
Cj
LjZ ++≅
ω
ω
1
(1)
At resonance frequency, ωo is evaluated as,
gssg
o
CLL )(
1
+
=ω (2)
The simplified expression of input impedance is given in eqn.3.
Ω== 50s
gs
m
in L
C
g
Z (3)
where gm and Cgs represent the transconductance and gate-to-source capacitance of the M1
respectively. Rds is the drain-source impedance of MOSFET. To realize a gain of 20dB at
5GHz, LS should be the source inductor in the order of 1 to 2nH. Fig.4. shows the small signal
equivalent circuit for the noise analysis of the LNA.
Figure5. Small Signal model at input stage LNA for noise
where gg is the input admittance, mean-squared channel thermal noise current and gate induced
noise current dni2
gni2
are shown in fig.5. The output noise power density due to the gate noise
current (Sg) and drain noise current (Sd) derived first. Then the noise factor F is derived as the
ratio between the sum (Sg +Sd) and output noise power density due to the source impedance(SRs
).The simplified theoretical expression for achieving minimum noise figure (NF) is derived from
equivalent circuit and shown below.
International Journal of VLSI design & Communication Systems (VLSICS) Vol.2, No.2, June 2011
48
][
4.2
1min
T
o
F
ω
ω
α
γ
+≅ (4)
where ωo , ωT are the resonance frequency and cut-off frequency and α ,γ are process dependent
constants.
2.2 Differential LNA
Single-ended LNA design needs additional balun circuitry to convert single-ended output into
differential output. Also, the second stage of receiver’s are the mixers which require signal to be
fed from a differential source. These are the limitations of single-ended LNA. In differential
LNA, input/output signals can be realized in differential form. Fig.6. shows a schematic of
conventional CMOS Differential LNA . It is constructed by using two single-stage cascode
(CS-CG structure) LNA’s. A cascade output buffer is also added with LNA for betterment of
gain, noise figure and reverse isolation. In the first stage, input impedance required is confirmed
by inductances Lg , Ls and gain is confirmed by transistor M1. The output block comprises the
transistor M3 and the drain inductance Ld, which are part of the output impedance network. The
second stage comprises an input stage formed by another set of inductors Lg, Ls, and transistor
M2.The equivalent circuit of conventional CMOS differential LNA is same as that of single-
ended LNA. The LNA topology component values such as Q of an inductor, Gate inductance,
Drain inductance and width of the transistors are evaluated using suitable design formulas given
below. The Quality factor (Q) of an inductor lies between 6 and 10 for 0.18-µm technology
scale. The value of Lg and Ld determined by using Eqn.(5) and Eqn.(6) and lies between 10 and
12 nH.
o
s
g
QR
L
ω
= (5)
outo
d
C
L
ω
1
= (6)
where ωo = 2πfo and fo is the RF frequency and equal to 5GHz. The optimized width of the
transistors evaluated by using these two factors Cgs and Cox , and it is shown in simplified
eqn.(7). The transistors width used for all the designs lies between 50 and 100-µm.
ox
gs
C
LC
W
3
4
= (7)
where Cox is the oxide specific capacitance, L is the channel length ,equal to 0.18-µm.
International Journal of VLSI design & Communication Systems (VLSICS) Vol.2, No.2, June 2011
49
Figure6. Conventional Differential LNA topology
3. Proposed LNA’s design
There are four design structures proposed for 5GHz LNA. The component values are calculated
as per design theoretical expressions. The performance factors such as gain, noise figure and
impedance matching design calculations are analysed by perspective understanding of CMOS
based LNA designs. The simplified schematics of all structures shown in figs.7, 8,9,10. The
following are the circuits, named as,
(i) Single-ended, inter-stage matched, inductively degenerated LNA
(ii) Single-ended, dual-CS cascode LNA
(iii) Inter-stage matched Differential LNA
(iv) Dual-CS Differential LNA
Inductor L is used as inter-stage matching inductor and represented in Fig.7 and Fig.9.The value
lies between 2 to 3nH. It is introduced here in all designs, for improving the impedance matching
and gain. Each common source (CS) stage of cascode structure is revised by using two parallel
transistors instead of one , and renamed as dual CS stage. This change applied in Fig.8 &Fig.10
designs. Fig.10. shows a two-stage fully differential CMOS LNA.
It comprises an input stage formed by inductors Lg and Ls , two inter-stage inductors (Lis), four
common source transistors(M1-M4), two common gate transistors(M5-M6), two drain inductors
LD and cascaded output stage transistor M7. The theoretical component calculations done with
the help of revised equivalent circuits, shown in Fig.11& Fig.12.
International Journal of VLSI design & Communication Systems (VLSICS) Vol.2, No.2, June 2011
50
Figure7. Single-ended, inter-stage matched,
inductively degenerated LNA Figure8. Single-ended, dual-CS Cascode LNA
Figure9. Inter-stage Matched Differential LNA
Figure10. Dual - CS Differential LNA
International Journal of VLSI design & Communication Systems (VLSICS) Vol.2, No.2, June 2011
51
Figure11. Equivalent circuit with Matching Inductor Lis
Figure12. Equivalent circuit for Dual CS stage with Matching Inductor Lis
4. Simulation Results
The proposed designs are simulated in a TSMC 0.18-µm CMOS process by Agilent’s Advanced
Design System EDA tools. The results are shown below. Fig. 13(a,b,c,d,e,f,g,h) shows simulated
power gain S21, input matching S11 measured with respect to RF frequency in GHz. The noise
figure is quite close to the theoretical value and demonstrates the noise performance of proposed
design methodology. The simulated noise figure values are shown in Fig.14 (a, b, c, d) and
markers are used to indicate the corresponding values. The performance comparison done
between the four designs by bar graph and highlighted the efficiency of best LNA design. Fig.15,
16, 17 represents the bar graphs of gain, noise figure and input impedance matching.
Figure13.(a) Figure13.(b)
International Journal of VLSI design & Communication Systems (VLSICS) Vol.2, No.2, June 2011
52
Figure13.(c) Figure13.(d)
Figure13.(e) Figure13.(f)
Figure 13.(g) Figure13.(h)
Figure14. (a) Figure14. (b)
Figure14. (c) Figure14. (d)
International Journal of VLSI design & Communication Systems (VLSICS) Vol.2, No.2, June 2011
53
Figure15. Gain Comparison
Figure16. NF Comparison
Figure17. Input Impedance Matching Comparison
5. Conclusion
The conventional LNA design techniques have been reviewed and four LNA design structures
proposed whose performance analyzed using Agilent’s ADS version9.0 software. All designs are
evaluated using the supply voltage of 1.8V. The design principles, advantages and limitations of
single-ended, differential LNA are discussed. From the simulation results, it is observed that LNA
1 and 2 shows good response by satisfying the noise figure value which is less than 3dB and
meets the requirement of narrow band LNA design. LNA 3 exhibits both gain and NF high
whereas LNA 2 exhibits little deviation in peak gain at centre frequency. But, LNA 4 shows good
agreement with theoretical calculations and simulation results in all three performance factors.
International Journal of VLSI design & Communication Systems (VLSICS) Vol.2, No.2, June 2011
54
The 5-GHz dual CS differential LNA exhibits the power gain of 20.6dB, input matching of -
14.1dB and noise figure of 3.6 dB. The first two designs will require lesser active area in
implementation than other two designs because the structures are very simple but it needs
additional balun circuitry for transforming the single-ended output into differential output.
Further this work can be extended for developing layouts and GDS II files.
References
[1] Trung-kien Nguyen, et al., 2004,“CMOS Low-Noise Amplifier Design Optimization
Techniques”, IEEE Transactions on Microwave Theory and Techniques, vol.52, No.5.
[2] Baimei Liu, et al.,2009, “An Ultra-Low Voltage and Ultra-Low Power 2.4GHz LNA
Design”, Radio Engineering, vol.18, No.4, pp.527- 531.
[3] P.Andreani, H.Sjoland, 2001, “ Noise optimization of an inductively degenerated CMOS
low noise amplifier”, IEEE Transactions on Circuits &Systems, vol.48, No. 9, pp.835-
841.
[4] Mohamed El-Nozahi, et al., 2009, “A CMOS LNA with Reconfigurable Input Matching
Network”, IEEE Transactions on Microwave Theory and Techniques, vol..57, No.5.
[5] Tae-Sung Kim , et al..,2008 “Post-Linearization of Differential CMOS LNA Using Cross-
Coupled FET’s”, Journal of Semiconductor technology and Science, vol.8, No.4.
[6] Arthur Nieuwodt , et al.,2008, “Design techniques for reducing the impact of component
variations on narrow-band low noise amplifiers”, Analog Integr Circ Sig Process,
Springer Science Journal , No.55, pp.189-193.
[7] Ahmed A, Youssef ,2002, “Design guidelines for the noise optimization of a 0.18µm
CMOS Low noise amplifier”, Analog Integr Circ Sig Process, Springer Science, No.46,
pp.193-201.
[8] Pete Sivonen, Ari Vilander, 2004, “A Gain stabilization technique for Tuned RF Low-
Noise Amplifiers,” IEEE Transactions on Circuits & Systems-I, vol.51, No.9.
[9] Mihai A.T.Sanduleanu, Maja Vidojkovic, Arthur, 2008, “Receiver Front- End Circuits for
Future Generations of Wireless Communications”, IEEE Transactions on Circuits and
Systems –II, vol.55, No.4.
[10] Shaikh K.Alam,Joanne De Groat,2008,”A 2 GHz variable gain low-noise amplifier in
0.18µm CMOS”, Analog Integrated Circ Sig Process, Springer Science, No.56, pp.37-42.

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Performance Comparison of RF CMOS Low Noise Amplifiers in 0.18-µm technology scale

  • 1. International Journal of VLSI design & Communication Systems (VLSICS) Vol.2, No.2, June 2011 DOI : 10.5121/vlsic.2011.2204 45 Performance Comparison of RF CMOS Low Noise Amplifiers in 0.18- m technology scale M.Sumathi*1 , S.Malarvizhi 2 *1 Research Scholar, Sathyabama University, Chennai -119,Tamilnadu sumagopi206@gmail.com 2 HOD/ECE, SRM University, Kattankulathur – 603203, Kancheepuram District, Tamilnadu malarvizhig@rediffmail.com Abstract This paper presents the design theory of conventional single-ended LNA and differential LNA based on CMOS technology. The design concepts give an useful indication to the design trade-offs associated with NF, gain and impedance matching. Four LNA’s have been designed using technological design rules of TSMC 0.18-µm CMOS technology and this work mainly proposed for IEEE 802.11a applications. With 1.8V supply voltage, the proposed LNA’s achieve a gain higher than 19dB, a noise figure less than 4dB and impedance matching less than -10dB at 5GHz frequency. The goal of this paper is to highlight the efficient LNA architecture for achieving simultaneous gain, noise and input matching at low supply voltage. The performance of all LNA’s are analysed and compared using Agilent’s Advanced Design System Electronic Design Automation tools. Keywords: CMOS, Low Noise Amplifier (LNA), RF design, Wireless application. 1. Introduction RF integrated circuits (RFIC’s) are the basic building blocks of portable wireless communication devices. CMOS technology is one of the best technologies for realization of RF front-ends. This is possible because of the following features such as low cost, continuous device scaling and high integration. Due to an increasing demand on the consumer electronic services, the operating frequency is moving towards the 5GHz band. According to this, it is desirable to introduce innovative RF front-end designs. The simplified block diagram of RF front-end is shown in fig.1. Low Noise Amplifiers, Mixers and Oscillators are the basic building blocks of RF front-end. Figure.1. RF front-end
  • 2. International Journal of VLSI design & Communication Systems (VLSICS) Vol.2, No.2, June 2011 46 In a typical design, LNA plays an important role because it is responsible for entire system sensitivity. Therefore, it should fulfill several requirements on the performance .These include providing a stable 50 ohms input impedance, minimizing the noise figure and supplying high gain to suppress the noise of other stages[1]. Several low-power, low-voltage single-ended and differential LNA designs have been reported [2-5]. All used simple cascode structure only in LNA schematic and also performance analysis done only at 2.4GHz. In [7], [8] & [10] , the following LNA objectives such as optimum gain, lowest noise figure and better impedance matching are not satisfied simultaneously in performance analysis. The aim of this work is to introduce an innovative LNA design structures for satisfying all design constraints and comparing their performances. The paper is organized as follows. The design theory of conventional single- ended and differential LNA discussed in Section 2.The proposed design structures and its importance presented in Section 3.Section 4 presents the simulation results of the LNA’s ,which is followed by the conclusion. 2. Conventional LNA design Fig.2. shows the block diagram of LNA. The topology may be single-ended or differential. It is composed of input matching, amplification and output matching blocks. The passive elements used for matching which plays an important role in the overall performance of the circuit in terms of gain and noise figure. Figure2. Block diagram of LNA 2.1 Single-ended LNA The conventional Single-ended LNA structure is shown in fig.3. It uses common source(CS) transistor M1 and common gate (CG) transistor M2. Lg and Ls are used for input matching. The small signal equivalent circuit is shiown in fig.4. used to evaluate the theoretical expression of input impedance. Figure3. Conventional Single-ended LNA topology
  • 3. International Journal of VLSI design & Communication Systems (VLSICS) Vol.2, No.2, June 2011 47 Figure4. Small Signal model at input stage LNA for impedance The combination of the gate and source equivalent inductance cancels the reactance of the parasitic capacitance at the gate at resonance frequency ωo. The expression for input impedance while looking at the gate of M1 is given in eqn.1 gs sm gso soin C Lg Cj LjZ ++≅ ω ω 1 (1) At resonance frequency, ωo is evaluated as, gssg o CLL )( 1 + =ω (2) The simplified expression of input impedance is given in eqn.3. Ω== 50s gs m in L C g Z (3) where gm and Cgs represent the transconductance and gate-to-source capacitance of the M1 respectively. Rds is the drain-source impedance of MOSFET. To realize a gain of 20dB at 5GHz, LS should be the source inductor in the order of 1 to 2nH. Fig.4. shows the small signal equivalent circuit for the noise analysis of the LNA. Figure5. Small Signal model at input stage LNA for noise where gg is the input admittance, mean-squared channel thermal noise current and gate induced noise current dni2 gni2 are shown in fig.5. The output noise power density due to the gate noise current (Sg) and drain noise current (Sd) derived first. Then the noise factor F is derived as the ratio between the sum (Sg +Sd) and output noise power density due to the source impedance(SRs ).The simplified theoretical expression for achieving minimum noise figure (NF) is derived from equivalent circuit and shown below.
  • 4. International Journal of VLSI design & Communication Systems (VLSICS) Vol.2, No.2, June 2011 48 ][ 4.2 1min T o F ω ω α γ +≅ (4) where ωo , ωT are the resonance frequency and cut-off frequency and α ,γ are process dependent constants. 2.2 Differential LNA Single-ended LNA design needs additional balun circuitry to convert single-ended output into differential output. Also, the second stage of receiver’s are the mixers which require signal to be fed from a differential source. These are the limitations of single-ended LNA. In differential LNA, input/output signals can be realized in differential form. Fig.6. shows a schematic of conventional CMOS Differential LNA . It is constructed by using two single-stage cascode (CS-CG structure) LNA’s. A cascade output buffer is also added with LNA for betterment of gain, noise figure and reverse isolation. In the first stage, input impedance required is confirmed by inductances Lg , Ls and gain is confirmed by transistor M1. The output block comprises the transistor M3 and the drain inductance Ld, which are part of the output impedance network. The second stage comprises an input stage formed by another set of inductors Lg, Ls, and transistor M2.The equivalent circuit of conventional CMOS differential LNA is same as that of single- ended LNA. The LNA topology component values such as Q of an inductor, Gate inductance, Drain inductance and width of the transistors are evaluated using suitable design formulas given below. The Quality factor (Q) of an inductor lies between 6 and 10 for 0.18-µm technology scale. The value of Lg and Ld determined by using Eqn.(5) and Eqn.(6) and lies between 10 and 12 nH. o s g QR L ω = (5) outo d C L ω 1 = (6) where ωo = 2πfo and fo is the RF frequency and equal to 5GHz. The optimized width of the transistors evaluated by using these two factors Cgs and Cox , and it is shown in simplified eqn.(7). The transistors width used for all the designs lies between 50 and 100-µm. ox gs C LC W 3 4 = (7) where Cox is the oxide specific capacitance, L is the channel length ,equal to 0.18-µm.
  • 5. International Journal of VLSI design & Communication Systems (VLSICS) Vol.2, No.2, June 2011 49 Figure6. Conventional Differential LNA topology 3. Proposed LNA’s design There are four design structures proposed for 5GHz LNA. The component values are calculated as per design theoretical expressions. The performance factors such as gain, noise figure and impedance matching design calculations are analysed by perspective understanding of CMOS based LNA designs. The simplified schematics of all structures shown in figs.7, 8,9,10. The following are the circuits, named as, (i) Single-ended, inter-stage matched, inductively degenerated LNA (ii) Single-ended, dual-CS cascode LNA (iii) Inter-stage matched Differential LNA (iv) Dual-CS Differential LNA Inductor L is used as inter-stage matching inductor and represented in Fig.7 and Fig.9.The value lies between 2 to 3nH. It is introduced here in all designs, for improving the impedance matching and gain. Each common source (CS) stage of cascode structure is revised by using two parallel transistors instead of one , and renamed as dual CS stage. This change applied in Fig.8 &Fig.10 designs. Fig.10. shows a two-stage fully differential CMOS LNA. It comprises an input stage formed by inductors Lg and Ls , two inter-stage inductors (Lis), four common source transistors(M1-M4), two common gate transistors(M5-M6), two drain inductors LD and cascaded output stage transistor M7. The theoretical component calculations done with the help of revised equivalent circuits, shown in Fig.11& Fig.12.
  • 6. International Journal of VLSI design & Communication Systems (VLSICS) Vol.2, No.2, June 2011 50 Figure7. Single-ended, inter-stage matched, inductively degenerated LNA Figure8. Single-ended, dual-CS Cascode LNA Figure9. Inter-stage Matched Differential LNA Figure10. Dual - CS Differential LNA
  • 7. International Journal of VLSI design & Communication Systems (VLSICS) Vol.2, No.2, June 2011 51 Figure11. Equivalent circuit with Matching Inductor Lis Figure12. Equivalent circuit for Dual CS stage with Matching Inductor Lis 4. Simulation Results The proposed designs are simulated in a TSMC 0.18-µm CMOS process by Agilent’s Advanced Design System EDA tools. The results are shown below. Fig. 13(a,b,c,d,e,f,g,h) shows simulated power gain S21, input matching S11 measured with respect to RF frequency in GHz. The noise figure is quite close to the theoretical value and demonstrates the noise performance of proposed design methodology. The simulated noise figure values are shown in Fig.14 (a, b, c, d) and markers are used to indicate the corresponding values. The performance comparison done between the four designs by bar graph and highlighted the efficiency of best LNA design. Fig.15, 16, 17 represents the bar graphs of gain, noise figure and input impedance matching. Figure13.(a) Figure13.(b)
  • 8. International Journal of VLSI design & Communication Systems (VLSICS) Vol.2, No.2, June 2011 52 Figure13.(c) Figure13.(d) Figure13.(e) Figure13.(f) Figure 13.(g) Figure13.(h) Figure14. (a) Figure14. (b) Figure14. (c) Figure14. (d)
  • 9. International Journal of VLSI design & Communication Systems (VLSICS) Vol.2, No.2, June 2011 53 Figure15. Gain Comparison Figure16. NF Comparison Figure17. Input Impedance Matching Comparison 5. Conclusion The conventional LNA design techniques have been reviewed and four LNA design structures proposed whose performance analyzed using Agilent’s ADS version9.0 software. All designs are evaluated using the supply voltage of 1.8V. The design principles, advantages and limitations of single-ended, differential LNA are discussed. From the simulation results, it is observed that LNA 1 and 2 shows good response by satisfying the noise figure value which is less than 3dB and meets the requirement of narrow band LNA design. LNA 3 exhibits both gain and NF high whereas LNA 2 exhibits little deviation in peak gain at centre frequency. But, LNA 4 shows good agreement with theoretical calculations and simulation results in all three performance factors.
  • 10. International Journal of VLSI design & Communication Systems (VLSICS) Vol.2, No.2, June 2011 54 The 5-GHz dual CS differential LNA exhibits the power gain of 20.6dB, input matching of - 14.1dB and noise figure of 3.6 dB. The first two designs will require lesser active area in implementation than other two designs because the structures are very simple but it needs additional balun circuitry for transforming the single-ended output into differential output. Further this work can be extended for developing layouts and GDS II files. References [1] Trung-kien Nguyen, et al., 2004,“CMOS Low-Noise Amplifier Design Optimization Techniques”, IEEE Transactions on Microwave Theory and Techniques, vol.52, No.5. [2] Baimei Liu, et al.,2009, “An Ultra-Low Voltage and Ultra-Low Power 2.4GHz LNA Design”, Radio Engineering, vol.18, No.4, pp.527- 531. [3] P.Andreani, H.Sjoland, 2001, “ Noise optimization of an inductively degenerated CMOS low noise amplifier”, IEEE Transactions on Circuits &Systems, vol.48, No. 9, pp.835- 841. [4] Mohamed El-Nozahi, et al., 2009, “A CMOS LNA with Reconfigurable Input Matching Network”, IEEE Transactions on Microwave Theory and Techniques, vol..57, No.5. [5] Tae-Sung Kim , et al..,2008 “Post-Linearization of Differential CMOS LNA Using Cross- Coupled FET’s”, Journal of Semiconductor technology and Science, vol.8, No.4. [6] Arthur Nieuwodt , et al.,2008, “Design techniques for reducing the impact of component variations on narrow-band low noise amplifiers”, Analog Integr Circ Sig Process, Springer Science Journal , No.55, pp.189-193. [7] Ahmed A, Youssef ,2002, “Design guidelines for the noise optimization of a 0.18µm CMOS Low noise amplifier”, Analog Integr Circ Sig Process, Springer Science, No.46, pp.193-201. [8] Pete Sivonen, Ari Vilander, 2004, “A Gain stabilization technique for Tuned RF Low- Noise Amplifiers,” IEEE Transactions on Circuits & Systems-I, vol.51, No.9. [9] Mihai A.T.Sanduleanu, Maja Vidojkovic, Arthur, 2008, “Receiver Front- End Circuits for Future Generations of Wireless Communications”, IEEE Transactions on Circuits and Systems –II, vol.55, No.4. [10] Shaikh K.Alam,Joanne De Groat,2008,”A 2 GHz variable gain low-noise amplifier in 0.18µm CMOS”, Analog Integrated Circ Sig Process, Springer Science, No.56, pp.37-42.