a 10 dbm-25 dbm, 0.363 mm2 two stage 130 nm rf cmos power amplifier

10
International Journal of VLSI design & Communication Systems (VLSICS) Vol.4, No.5, October 2013 DOI : 10.5121/vlsic.2013.4509 107 A 10 dBm-25 dBm, 0.363 mm 2 TWO STAGE 130 nm RF CMOS POWER AMPLIFIER Shridhar R. Sahu 1 and Dr. A. Y. Deshmukh 2 1 Research Scholar, Department of Electronics Engineering, G. H. Raisoni College of Engineering, Nagpur, India 2 Professor, Department of Electronics Engineering, G. H. Raisoni College of Engineering, Nagpur, India Abstract This paper proposes a 2.4 GHz RF CMOS Power amplifier and variation in its main performance parameters i.e, output power, S-parameters and power added efficiency with respect to change in supply voltage and size of the power stage transistor. The supply voltage was varied form 1 V to 5 V and the range of output power at 1dB compression point was found to be from 10.684 dBm to 25.08 dBm respectively. The range of PAE is 16.65 % to 48.46 %. The width of the power stage transistor was varied from 150 μm to 500 μm to achieve output power of range 15.47 dBm to 20.338 dBm. The range of PAE obtained here is 29.085 % to 45.439 %. The total dimension of the layout comes out to be 0.714 * 0.508 mm 2 . Keywords RF CMOS, PAE, Output Power, S-parameters, Matching Networks 1. INTRODUCTION CMOS RFICs are Radio Frequency Integrated circuits in CMOS technology operated in radio frequency range. RF Power Amplifiers are part of the transmitter front-end used to amplify the input power to be transmitted [1][3]. The main performance parameters for the power amplifier are the level of output power it can achieve, depending on the targeted application, linearity, and efficiency. The two basic definitions for the efficiency of the power amplifier are drain efficiency (DE) which is the ratio between the RF output power to the dc power dissipated, and the power added efficiency (PAE) which is the ratio between the difference of the RF output power and the RF input power to the total dc power of the circuit. The PAE is a more practical measure as it is responsible for the power gain of the amplifier [1].

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International Journal of VLSI design & Communication Systems (VLSICS) Vol.4, No.5, October 2013

DOI : 10.5121/vlsic.2013.4509 107

A 10 dBm-25 dBm, 0.363 mm2 TWO STAGE

130 nm RF CMOS POWER AMPLIFIER

Shridhar R. Sahu1 and Dr. A. Y. Deshmukh

2

1Research Scholar, Department of Electronics Engineering, G. H. Raisoni College of

Engineering, Nagpur, India 2Professor, Department of Electronics Engineering, G. H. Raisoni College of

Engineering, Nagpur, India

Abstract

This paper proposes a 2.4 GHz RF CMOS Power amplifier and variation in its main performance

parameters i.e, output power, S-parameters and power added efficiency with respect to change in supply

voltage and size of the power stage transistor. The supply voltage was varied form 1 V to 5 V and the range

of output power at 1dB compression point was found to be from 10.684 dBm to 25.08 dBm respectively.

The range of PAE is 16.65 % to 48.46 %. The width of the power stage transistor was varied from 150 µm

to 500 µm to achieve output power of range 15.47 dBm to 20.338 dBm. The range of PAE obtained here is

29.085 % to 45.439 %. The total dimension of the layout comes out to be 0.714 * 0.508 mm2.

Keywords

RF CMOS, PAE, Output Power, S-parameters, Matching Networks

1. INTRODUCTION

CMOS RFICs are Radio Frequency Integrated circuits in CMOS technology operated in radio

frequency range. RF Power Amplifiers are part of the transmitter front-end used to amplify the

input power to be transmitted [1][3].

The main performance parameters for the power amplifier are the level of output power it can

achieve, depending on the targeted application, linearity, and efficiency. The two basic definitions

for the efficiency of the power amplifier are drain efficiency (DE) which is the ratio between the

RF output power to the dc power dissipated, and the power added efficiency (PAE) which is the

ratio between the difference of the RF output power and the RF input power to the total dc power

of the circuit. The PAE is a more practical measure as it is responsible for the power gain of the

amplifier [1].

International Journal of VLSI design & Communication Systems (VLSICS) Vol.4, No.5, October 2013

108

PP

dc

RFoutDE

)(=

(2)

RFICs are fabricated using CMOS, GaAs Hetero-Junction Bipolar Transistor (HBT), SiGe

BiCMOS, , GaN High Electron Mobility Transistor (HEMT) technologies. Existing power

amplifiers mostly use GaAs (Gallium Arsenide) or GaN (Gallium Nitride) for high output power.

But it also leads to high power dissipation, large chip area and more cost. The GaAs technology

provides high output power at high frequency, but it is quite expensive and the uniformity of the

device structure may be affected due to process variations [6]. The GaN process also operates at

higher frequencies and deals with high power capacity but due to wide band gap materials used

more voltage supply is needed for operation which in turn leads to high power dissipation [7].

CMOS power amplifiers can also be operated at high frequencies and by using some techniques

output power can be increased. CMOS power amplifiers show more linearity as compared to

GaAs and GaN technologies. As CMOS can operate on low power supplies there is drastic

decrease in overall power dissipation of the circuit and hence better PAE can be expected. CMOS

power amplifiers are cost effective and use minimum chip area for fabrication.

The main objective behind this paper is to design a CMOS Power Amplifier for 2.4 GHz WLAN

application and observe change in its important parameters such as s-parameters, output power,

power added efficiency with change in supply voltage and size of the power stage transistor. The

tool used for designing this circuit is ADS (Advanced Design System) tool of Agilent Systems.

This circuit is designed in RFCMOS 130 nm technology. The layout of this paper is follows:

Initially this paper deals with the schematic of the CMOS power amplifier, then the simulation

results obtained by varying supply voltage and size of second stage transistor. Layout of the

designed circuit is drawn in Tanner Tool. Finally, conclusions are drawn out after observing the

simulation results.

2. SCHEMATIC

A schematic of the CMOS power amplifier is shown in the figure 1. Driver stage and Power stage

with the supply and bias network are main parts of the power amplifier. A cascode topology is

used in the driver stage and a basic power amplifier topology is used in the power stage. The

circuit is operated in 2.4 GHz ISM band.

Fig. 1. Schematic of complete Two Stage CMOS Power Amplifier

vdd

Vload

vdd

vdd

TermTerm1

TSMC_CM013RF_NMOS_RF

M3

TSMC_CM013RF_NMOS

M7

TSMC_CM013RF_PMOSM6

TSMC_CM013RF_NMOSM5

TSMC_CM013RF_PMOSM4

TSMC_CM013RF_NMOS_RF

M2

TSMC_CM013RF_NMOS_RFM1

C

C6 I_Probe

I_Probe1CC5

V_DCV1Vdc=2.5 V

LL4

C

C3CC4

RR3

LL5

L

L6

LL3

LL2

RR2

R

R1

CC2

P_1TonePORT1Freq=2.4 GHz

C

C1

L

L1

International Journal of VLSI design & Communication Systems (VLSICS) Vol.4, No.5, October 2013

109

A cascode topology is implemented in the first stage. The transistor M1 is the main amplifying

device of this stage and transistor M2 is cascaded with M1. An inductor of a large value is

connected between the drain of M2 and VDD which opposes the change in current and the

cascaded transistor is to prevent large flow of drain current through M1. The transistor M2 is

biased in saturation. Transistor M1 is biased by a MOSFET only bias circuit whose output is 0.5

Volts to operate in triode region. The transistor was first analyzed with different biasing voltages

and found to be operating better at 0.5 V in similar conditions. An input matching network is

connected to the driver stage i.e., the input stage for input impedance matching. For this matching

purpose gate inductance Lg (L1) and source inductance Ls (L2) are used. The values of these

inductances and the size of the transistors are such selected that the operation of the circuit is

tuned to the resonance frequency of 2.4 GHz. The gate length of the transistors is fixed at 130nm

and the width of gate is varied. The output power of this topology is not as high as the power

stage but the isolation provided between output and input is very high. Also the dc power

consumed by this circuit is far less than the power stage circuit. The dc current through this stage

is 6.31 mA at 2.5 V.

The second stage is mainly responsible for power amplification considering the overall circuit.

The size of the transistor used in this stage is large as compared to the size the transistors used in

the driver stage. A big fat inductance is connected between the dc supply and the drain of the

transistor M3. The output of the driver stage is fed to the gate of the transistor M3 through the

capacitor C6. The dc current here is controlled by varying the size of the transistor. The

amplification of the signal also depends on the bias voltage supply. Bias voltage is 0.75 V. Output

matching network is connected at the output side for output impedance matching. Here, a LC tank

circuit is designed for matching purpose and to tune the circuit to its operating frequency, so that

the output return loss is better at resonance frequency. The total dc current of this stage comes out

to be 83.5 mA at 2.5 V.

3. SIMULATION RESULTS

S – Parameters are an important part of Power amplifiers. There are four s-parameters essential to

observe after designing a power amplifier. They are input return loss S(1,1), output return loss

S(2,2), gain S(2,1) and isolation loss S(1,2).

Power calculations are carried out at 1dB compression point of the gain of the circuit. As shown

in the figure 3, graph of gain in dB is plotted v/s input power in dBm. According to the figure

1dB compression point is obtained at -22.7 dBm of input power. Output power is observed at the

same input power which comes out to be 20.028 dBm. This output power is known as output

power at 1dB compression point. The maximum output power delivered by this circuit is 22.002

dBm. The unit used for power calculations of a power amplifier is dBm instead of watts. The

conversion of watts to dBm and dBm to watts is given as in equation (3). The equation for power

gain is given as in equation (5).

Power added efficiency; the factor by which the power amplifiers are analyzed is the deciding

parameter between different types of power amplifiers. This CMOS power amplifier operating at

2.4 GHz with a main supply of 2.5 V gives PAE of 44.669 % at 1dB compression point. The

maximum PAE achieved by the circuit is 70.196 %. These values can be observed in figure 8

where on left y axis pout is plotted and on right y axis PAE is plotted. The equations for the same

are given in equation 6, 7 and 8.

International Journal of VLSI design & Communication Systems (VLSICS) Vol.4, No.5, October 2013

110

)1

)(log(10)(

mW

WPdBmP ×= (3)

10)3

10

)((

)(−

=

dBmP

WP (4)

))(

)(log(10)(

W

WdBP

PP

in

out×=

(5)

)(

)()()1()1(

1 W

WW

P

PPPAE

dc

dBindBout

dB

=

(6)

)(

)()((max)

max W

WW

P

PPPAE

dc

inout−

=

(7)

IVP dcdddc×=

(8)

Fig. 2. S - Parameters

Fig. 3. Obtaining 1dB compression point

m1freq=dB(S(1,1))=-11.132

2.400GHzm2freq=dB(S(2,2))=-12.467

2.400GHz

m3freq=dB(S(2,1))=43.745

2.400GHz

m4freq=dB(S(1,2))=-61.889

2.400GHz

0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0 4.50.0 5.0

-10

0

10

20

30

40

-20

50

-140

-120

-100

-80

-160

-60

freq, GHz

dB(S

(2,2

))

m2

dB(S

(2,1

))

m3

dB(S

(1,2

))

m4

dB(S

(1,1

))

m1

m1freq=dB(S(1,1))=-11.132

2.400GHzm2freq=dB(S(2,2))=-12.467

2.400GHz

m3freq=dB(S(2,1))=43.745

2.400GHz

m4freq=dB(S(1,2))=-61.889

2.400GHz

m5pin=gain=43.752

-45.800

m6pin=gain=42.728

-22.700

-40 -30 -20 -10 0-50 10

15

20

25

30

35

40

10

45

Pin (dBm)

Gain (dB)

m5 m6

m5pin=gain=43.752

-45.800

m6pin=gain=42.728

-22.700

International Journal of VLSI design & Communication Systems (VLSICS) Vol.4, No.5, October 2013

111

Fig. 4. Output Power and Power Added Effciency

3.1 Variation in Output Power, S-Parameters and PAE with change in Supply

Voltage

The supply voltage was varied from 1 V to 5 V. The operating frequency was kept constant i.e,

2.4 GHz. The values of s-parameters, output power, PAE achieved are tabulated in table 1. The

range of output power at 1dB compression point observed is 10.684 dBm to 25.08 dBm. The

range of maximum output power is 14.286 dBm to 27.217 dBm. Power added efficiency at 1dB

compression point is calculated to be 16.65 % at 1 V to 48.46 % at 3.3 V. Maximum PAE is

38.12 % at 1 V to 77.407 % at 3.3 V. The overall DC current observed here is 70.23 mA at 1 V to

168 mA at 5 V. These results can also be observed in figures 5, 6, & 7.

3.2 Variation in Output Power, S- parameters and PAE with change in Size of

Power stage Transistor

Initially the width of the second stage transistor was 300 µm, i.e, 30 gate fingers with 10 µm

width of single gate finger. The number of gate fingers was varied to change the size of the

transistor. The gate fingers were varied from 15 to 50 numbers making the width effectively 150

µm to 500 µm. The results obtained are tabulated in table 2. The operating voltage and operating

frequency were kept constant at 2.5 V and 2.4 GHz respectively. The number of gate fingers here

is denoted as F. The range of output power at 1dB compression point observed is 15.47 dBm to

20.338 dBm. The range of maximum output power is 20.702 dBm to 22.354 dBm. Power added

efficiency at 1dB compression point is calculated to be 29.085 % at 150 µm gate width to 45.439

% at 25 um gate width. The overall DC current observed here is 48.4 mA at 15 gate fingers to

143.7 mA at 50 gate fingers. These results can also be observed in figures 8, 9, & 10.

m7pin=pout=20.028

-22.700

m8pin=pout=22.002Max

-3.900

m9pin=PAE=44.669

-22.700

m10pin=PAE=70.196Max

-3.900

-40 -30 -20 -10 0-50 10

-5

0

5

10

15

20

-10

25

20

40

60

80

0

100

Pin (dBm)

Pout (d

Bm

)

m7m8

PAE (%

)

m9

m10

m7pin=pout=20.028

-22.700

m8pin=pout=22.002Max

-3.900

m9pin=PAE=44.669

-22.700

m10pin=PAE=70.196Max

-3.900

International Journal of VLSI design & Communication Systems (VLSICS) Vol.4, No.5, October 2013

112

Fig. 5. Output Power at different supply voltages

Fig. 6. Total DC Current at different Supply voltages

Fig. 7. Power Added Efficiency at different supply voltages

m7pin=pout=10.684Vdd=1.000000

-29.800

m14pin=pout=27.217Vdd=5.000000Max

-2.100m15pin=pout=22.098Vdd=2.500000Max

-3.500m16pin=pout=14.286Vdd=1.000000Max

-14.800

m17pin=pout=20.021Vdd=2.500000

-22.700m18pin=pout=25.080Vdd=5.000000

-18.700

-40 -30 -20 -10-50 0

0

10

20

-10

30

Vdd=1.000Vdd=1.200

Vdd=1.800

Vdd=2.500Vdd=3.000Vdd=3.300

Vdd=5.000

Pin (dBm)

Pout (d

Bm

)m7

m14

m15

m16

m17

m18m7pin=pout=10.684Vdd=1.000000

-29.800

m14pin=pout=27.217Vdd=5.000000Max

-2.100m15pin=pout=22.098Vdd=2.500000Max

-3.500m16pin=pout=14.286Vdd=1.000000Max

-14.800

m17pin=pout=20.021Vdd=2.500000

-22.700m18pin=pout=25.080Vdd=5.000000

-18.700

m24indep(m24)=plot_vs(Idc, pin)=-90.048Vdd=2.500000

-16.000

m25indep(m25)=plot_vs(Idc, pin)=-167.923Vdd=5.000000

-12.400

m26indep(m26)=plot_vs(Idc, pin)=-70.291Vdd=1.000000

-44.400

-40 -30 -20 -10-50 0

-150

-100

-50

-200

0

Vdd=1.000Vdd=1.200Vdd=1.800Vdd=2.500Vdd=3.000Vdd=3.300

Vdd=5.000

Pin (dBm)

Idc (

mA

) m24

m25

m26

m24indep(m24)=plot_vs(Idc, pin)=-90.048Vdd=2.500000

-16.000

m25indep(m25)=plot_vs(Idc, pin)=-167.923Vdd=5.000000

-12.400

m26indep(m26)=plot_vs(Idc, pin)=-70.291Vdd=1.000000

-44.400

m9pin=PAE=38.361Vdd=5.000000

-18.700

m19pin=PAE=62.680Vdd=5.000000Max

-2.200m20pin=PAE=38.120Vdd=1.000000Max

-14.800

m21pin=PAE=16.651Vdd=1.000000

-29.800

m22pin=PAE=71.818Vdd=2.500000Max

-3.500

m23pin=PAE=44.635Vdd=2.500000

-22.700

-40 -30 -20 -10-50 0

20

40

60

80

0

100

Vdd=1.000

Vdd=1.200

Vdd=1.800

Vdd=2.500

Vdd=3.000Vdd=3.300

Vdd=5.000

Pin (dBm)

PAE (%

)

m9

m19

m20

m21

m22

m23

m9pin=PAE=38.361Vdd=5.000000

-18.700

m19pin=PAE=62.680Vdd=5.000000Max

-2.200m20pin=PAE=38.120Vdd=1.000000Max

-14.800

m21pin=PAE=16.651Vdd=1.000000

-29.800

m22pin=PAE=71.818Vdd=2.500000Max

-3.500

m23pin=PAE=44.635Vdd=2.500000

-22.700

International Journal of VLSI design & Communication Systems (VLSICS) Vol.4, No.5, October 2013

113

Table 1. Variation in Output Power, S- Parameters and PAE with change in Supply voltage

Operating

Voltage

(V)

S – Parameters (dB) Total Dc

Current

(mA)

Output Power

(dBm)

Power Added

Efficiency (%)

Vdd S(1,1) S(2,2) S(2,1) S(1,2) IDC Pout1dB Poutmax PAE1dB PAEmax

1.0 -10.928 -12.048 41.474 -60.822 70.3 10.684 14.286 16.65 38.12

1.2 -11.569 -12.804 42.227 -60.992 72.6 12.612 15.86 20.952 44.213

1.8 -12.477 -13.467 43.403 -61.367 79.5 16.724 19.327 31.958 63.854

2.5 -11.132 -12.467 43.745 -61.889 90.05 20.021 22.098 44.635 71.818

3 -10.034 -11.368 43.813 -62.39 100 21.6 23.623 48.01 76.279

3.3 -9.579 -10.738 43.891 -62.755 108 22.365 24.411 48.466 77.407

5 -6.285 -8.32 44.769 -65.214 168 25.08 27.217 38.361 62.68

Operating Frequency: 2.4 GHz

Fig. 8. Output Power with change in size of power stage transistor

Fig. 9. Total DC Current with change in size of power stage transistor

m11pin=pout=15.470Fingers=15.000000

-27.500

m12pin=pout=20.706Fingers=15.000000Max

-5.000m22pin=pout=22.354Fingers=50.000000Max

-8.100

m23pin=pout=20.018Fingers=50.000000

-20.700

m25pin=pout=20.028Fingers=30.000000

-22.700

m24pin=pout=22.002Fingers=30.000000Max

-3.900

-40 -30 -20 -10-50 0

5

10

15

20

0

25

Fingers=15.000Fingers=20.000Fingers=25.000Fingers=30.000Fingers=35.000Fingers=40.000Fingers=45.000Fingers=50.000

Pin (dBm)

Pout (d

Bm

)

m11

m12m22

m23m25m24m11

pin=pout=15.470Fingers=15.000000

-27.500

m12pin=pout=20.706Fingers=15.000000Max

-5.000m22pin=pout=22.354Fingers=50.000000Max

-8.100

m23pin=pout=20.018Fingers=50.000000

-20.700

m25pin=pout=20.028Fingers=30.000000

-22.700

m24pin=pout=22.002Fingers=30.000000Max

-3.900

m19indep(m19)=plot_vs(Idc, pin)=-48.456Fingers=15.000000

-38.100m20indep(m20)=plot_vs(Idc, pin)=-90.129Fingers=30.000000

-3.000

m21indep(m21)=plot_vs(Idc, pin)=-143.767Fingers=50.000000

-7.700

-40 -30 -20 -10 0-50 10

-140

-120

-100

-80

-60

-160

-40

Fingers=15.000

Fingers=20.000

Fingers=25.000

Fingers=30.000

Fingers=35.000

Fingers=40.000

Fingers=45.000

Fingers=50.000

Pin (dbm)

Idc (m

A)

m19

m20

m21

m19indep(m19)=plot_vs(Idc, pin)=-48.456Fingers=15.000000

-38.100m20indep(m20)=plot_vs(Idc, pin)=-90.129Fingers=30.000000

-3.000

m21indep(m21)=plot_vs(Idc, pin)=-143.767Fingers=50.000000

-7.700

International Journal of VLSI design & Communication Systems (VLSICS) Vol.4, No.5, October 2013

114

Fig. 10. Power Added Efficiency with change Size of Power stage transistor

Table 2. Variation in Output Power, S- Parameters and PAE with change in size of power stage transistor

Size of Power

Stage Transistor

(W/L) µm

S – Parameters (dB) Total DC

Current

(mA)

Output Power

(dBm)

Power Added

Efficiency (%)

(10*F)/0.13 S(1,1) S(2,2) S(2,1) S(1,2) IDC Pout1dB Poutmax PAE1dB PAEmax

15 -6.578 -9.295 43.857 -61.92 48.4 15.47 20.702 29.085 96.851

20 -8.179 -15.293 44.176 -61.557 62.4 17.995 21.381 40.408 87.913

25 -9.614 -16.637 43.975 -61.496 76.3 19.378 21.761 45.439 78.449

30 -11.132 -12.467 43.745 -61.889 90.1 20.028 22.002 44.669 70.196

35 -11.952 -9.504 43.114 -62.432 104 20.317 22.139 41.477 62.93

40 -12.886 -7.772 42.673 -62.860 117 20.338 22.239 36.889 56.982

45 -13.631 -6.493 42.082 -63.344 131 20.263 22.291 32.542 51.863

50 -14.299 -5.638 41.605 -63.767 143.7 20.018 22.354 27.938 47.803

Operating Voltage: 2.5 V

Operating Frequency: 2.4 GHz

4. LAYOUT

The layout of the designed power amplifier drawn in Tanner tool is shown in figure 11.This

layout occupies total die area of 0.363 mm2. This layout is designed to be operating at 2.5 dc

supply and the width of power stage transistor is 300 µm. The total dc current flowing through

this circuit is 90.1 mA. Metal 4 is used for VDD and ground lines and as its current flowing

density is 1.6 mA per 1 µm, 120 µm metal 4 width is used.

m17pin=PAE=29.085Fingers=15.000000

-27.500

m18pin=PAE=96.851Fingers=15.000000Max

-5.000m13pin=PAE=47.803Fingers=50.000000Max

-8.200m14pin=PAE=70.196Fingers=30.000000Max

-3.900

m15pin=PAE=44.669Fingers=30.000000

-22.700

m16pin=PAE=27.938Fingers=50.000000

-20.700

-40 -30 -20 -10-50 0

20

40

60

80

0

100

Fingers=15.000

Fingers=20.000

Fingers=25.000

Fingers=30.000

Fingers=35.000Fingers=40.000Fingers=45.000Fingers=50.000

Pin (dBm)

PAE (%

)

m17

m18

m13

m14

m15

m16

m17pin=PAE=29.085Fingers=15.000000

-27.500

m18pin=PAE=96.851Fingers=15.000000Max

-5.000m13pin=PAE=47.803Fingers=50.000000Max

-8.200m14pin=PAE=70.196Fingers=30.000000Max

-3.900

m15pin=PAE=44.669Fingers=30.000000

-22.700

m16pin=PAE=27.938Fingers=50.000000

-20.700

International Journal of VLSI design & Communication Systems (VLSICS) Vol.4, No.5, October 2013

115

Fig. 11. Layout of RF CMOS Power Amplifier

5. CONCLUSIONS

CMOS power amplifiers provide high output power with high efficiency. The values of VDD

supply and size of power transistor were varied to observe the changes in output power, s-

parameters and power added efficiency. As shown in the results wide range of output power was

achieved with relatively high efficiency. From the results it can be concluded that this power

amplifier shows best performance with VDD 2.5 V and width of power stage transistor to be 300

µm. This wide range of output power helps this circuit in application of Bluetooth to WLAN.

REFERENCES

[1] M.Hella, M.Ismail.: RF CMOS Power Amplifiers: Theory, Design and Implementation. Ohio State

University

[2] Thomas H. Lee.: The Design of CMOS Radio Frequency Integrated Circuits. Second Edition,

Cambridge University Press

[3] Ho Ka Wai.: 1-V CMOS Power Amplifier for Bluetooth Applications, Hong Kong University of

Science and Technology, 2002

[4] Kyu Hwan An.: CMOS RF POWER AMPLIFIERS FOR MOBILE WIRELESS

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