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on the feasibility of application of class e rf power amplifiers in umts

on the feasibility of application of class e rf power amplifiers in umts

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used for calculati<strong>on</strong> <strong>of</strong> <strong>the</strong> ACPR are obta<strong>in</strong>ed from <strong>the</strong> results <strong>of</strong> 35<br />

<br />

transient simulati<strong>on</strong> <strong>in</strong> SpectreRF circuit simulator. The waveform<br />

<br />

calculator <strong>of</strong> Spectre RF has been used <strong>in</strong> calculati<strong>on</strong>s. In figure 7,<br />

<strong>the</strong> <strong>power</strong> spectrum <strong>of</strong> <strong>the</strong> output signal is displayed. It is impor-<br />

−10<br />

−30<br />

−50<br />

−70<br />

−90<br />

1.93<br />

Rel. <strong>power</strong> (dB)<br />

1.95<br />

1.97 f(GHz)<br />

Figure 7. Power spectral density <strong>of</strong> <strong>the</strong> output signal<br />

tant to note that all blocks <strong>in</strong> <strong>the</strong> l<strong>in</strong>earizati<strong>on</strong> schematic (multipliers,<br />

adders, square and square root functi<strong>on</strong>s) are ideal and do not <strong>in</strong>troduce<br />

any delay nor distorti<strong>on</strong>. This is <strong>of</strong> crucial importance, s<strong>in</strong>ce <strong>the</strong><br />

EER technique is particularly sensitive to delay mismatch <strong>in</strong> <strong>the</strong> envelope<br />

and phase path. The ACPR <strong>of</strong> £§ signal, generated by an<br />

ideal IQ modulator, is 65 dBc and 85 dBc, for ACPR ¡ and ACPR ,<br />

respectively. Therefore, <strong>the</strong> output signal exhibits a certa<strong>in</strong> degradati<strong>on</strong>,<br />

even though <strong>the</strong> build<strong>in</strong>g blocks <strong>in</strong> <strong>the</strong> EER circuit are ideal.<br />

Reas<strong>on</strong>s for such behaviour are multiple. First, <strong>the</strong> amplifier <strong>in</strong>troduces<br />

certa<strong>in</strong> amount <strong>of</strong> phase distorti<strong>on</strong>. Sec<strong>on</strong>dly, <strong>the</strong> assumpti<strong>on</strong><br />

that <strong>the</strong> amplitude <strong>of</strong> <strong>the</strong> output signal is l<strong>in</strong>early dependent <strong>on</strong> <strong>the</strong><br />

supply voltage does not hold <strong>in</strong> practice. Theoretically, <strong>the</strong> amplitude<br />

<strong>of</strong> <strong>the</strong> output signal from an ideal <strong>class</strong> E PA, supplied by <br />

, © <br />

is<br />

and <strong>the</strong><br />

<br />

ratio rema<strong>in</strong>s c<strong>on</strong>stant <br />

when<br />

changes [3]. This is not <strong>the</strong> case <strong>in</strong> practice, s<strong>in</strong>ce <strong>the</strong>re is <strong>the</strong><br />

entire set <strong>of</strong> voltage-dependent effects <strong>of</strong> a transistor, such as n<strong>on</strong>l<strong>in</strong>ear<br />

parasitic output capacitance. In figure 8, it is shown how <strong>the</strong><br />

amplitude <strong>of</strong> <strong>the</strong> output signal depends <strong>on</strong> <strong>the</strong> supply voltage, for <strong>the</strong><br />

PA based <strong>on</strong> <strong>the</strong> HBT. Factor is def<strong>in</strong>ed <br />

© <br />

as . It can be<br />

noticed that is smaller than <strong>the</strong> <strong>the</strong>oretical value <strong>of</strong> 1.074, which is<br />

expla<strong>in</strong>ed by <strong>the</strong> n<strong>on</strong>-idealities <strong>of</strong> a real circuit and <strong>in</strong>evitable losses.<br />

But <strong>the</strong><br />

<br />

n<strong>on</strong>-c<strong>on</strong>stant ratio is a more significant shortcom<strong>in</strong>g,<br />

s<strong>in</strong>ce it will have a direct impact <strong>on</strong> <strong>the</strong> l<strong>in</strong>earity and ACPR pe<strong>rf</strong>ormance.<br />

The PAE also changes with <strong>the</strong> supply voltage, and <strong>the</strong><br />

corresp<strong>on</strong>d<strong>in</strong>g plot for HBT based PA is given <strong>in</strong> figure 9.<br />

k 0.82<br />

0.78<br />

0.74<br />

0.7<br />

0.75<br />

1.2 1.65<br />

Figure 8. N<strong>on</strong>-c<strong>on</strong>stant<br />

PAE [%] 90<br />

80<br />

70<br />

60<br />

50<br />

40<br />

30<br />

20<br />

10<br />

2.1<br />

<br />

0.75 1.2 1.65 2.1<br />

2.55 3.0<br />

V DC [V]<br />

ratio <strong>in</strong> a <strong>class</strong> E PA<br />

2.55 3.0 VDC [V]<br />

Figure 9. PAE dependence <strong>on</strong> <strong>the</strong> supply voltage<br />

6. CONCLUSIONS<br />

In this paper results <strong>of</strong> an <strong>in</strong>vestigati<strong>on</strong> <strong>in</strong>to <strong>the</strong> <strong>class</strong> E PA capabilities<br />

for utilizati<strong>on</strong> <strong>in</strong> UMTS are presented. Class E circuits with three<br />

different active devices were designed and simulated. The results <strong>of</strong><br />

<strong>the</strong> simulati<strong>on</strong>s show that a comparable pe<strong>rf</strong>ormance is achieved with<br />

all three technologies, but <strong>the</strong> GaAs is <strong>the</strong> most promis<strong>in</strong>g opti<strong>on</strong>. A<br />

l<strong>in</strong>earizati<strong>on</strong> testbench based <strong>on</strong> <strong>the</strong> EER pr<strong>in</strong>ciple has been designed<br />

and applied, and <strong>the</strong> ACPR pe<strong>rf</strong>ormance was simulated. All three<br />

PAs exhibited pe<strong>rf</strong>ormance that satisfies <strong>the</strong> requirements prescribed<br />

by <strong>the</strong> UMTS standard. These simulati<strong>on</strong>s <strong>in</strong>dicate that <strong>class</strong> E PAs,<br />

given <strong>the</strong> appropriate signals from <strong>the</strong> l<strong>in</strong>earizati<strong>on</strong> circuitry are provided,<br />

can successfully be used for <strong>power</strong> amplificati<strong>on</strong> <strong>of</strong> WCDMA<br />

RF signal. Accord<strong>in</strong>g to our best knowledge, this is <strong>the</strong> first report<br />

<strong>in</strong> literature that quantitatively <strong>in</strong>vestigates <strong>the</strong> operati<strong>on</strong> <strong>of</strong> <strong>class</strong> E<br />

PAs for UMTS. The presented results <strong>in</strong>dicate that a fur<strong>the</strong>r <strong>in</strong>vestigati<strong>on</strong><br />

<strong>on</strong> this type <strong>of</strong> PAs and <strong>the</strong> l<strong>in</strong>earizati<strong>on</strong> circuits is <strong>of</strong> high<br />

importance. The ACPR pe<strong>rf</strong>ormance can be improved by add<strong>in</strong>g a<br />

predistorti<strong>on</strong> block <strong>in</strong> <strong>the</strong> envelope path, that would compensate <strong>the</strong><br />

n<strong>on</strong>l<strong>in</strong>earity caused by n<strong>on</strong>-c<strong>on</strong>stant factor. In practice, <strong>the</strong> n<strong>on</strong>idealities<br />

and limitati<strong>on</strong>s <strong>of</strong> <strong>the</strong> EER blocks will have negative effect <strong>on</strong><br />

<strong>the</strong> ACPR, and extensive research has to be d<strong>on</strong>e <strong>on</strong> <strong>the</strong> practical implementati<strong>on</strong>.<br />

Reduced efficiency <strong>of</strong> <strong>the</strong> <strong>class</strong> E stage at lower supply<br />

voltages <strong>in</strong>dicates that an advanced hybrid soluti<strong>on</strong> <strong>in</strong> <strong>the</strong> form <strong>of</strong> a<br />

comb<strong>in</strong>ati<strong>on</strong> <strong>of</strong> l<strong>in</strong>ear (e.g. <strong>class</strong> A) and switch<strong>in</strong>g type PA should be<br />

c<strong>on</strong>sidered, <strong>in</strong> order to obta<strong>in</strong> a satisfy<strong>in</strong>g overall efficiency pe<strong>rf</strong>ormance<br />

at all <strong>power</strong> levels.<br />

ACKNOWLEDGMENTS<br />

The work presented <strong>in</strong> this paper is funded by <strong>the</strong> Dutch technology<br />

foundati<strong>on</strong> STW. The authors would also like to thank Peter Baltus,<br />

Hans Hegt and P<strong>in</strong>g Wang for fruitful and c<strong>on</strong>structive discussi<strong>on</strong>s.<br />

7. REFERENCES<br />

[1] N. O. Sokal and A. D. Sokal, “Class E—A new <strong>class</strong> <strong>of</strong> highefficiency<br />

tuned s<strong>in</strong>gle-ended switch<strong>in</strong>g <strong>power</strong> <strong>amplifiers</strong>,”<br />

IEEE J. Solid-State Circuits, vol. SC-10, no. 6, pp. 168-176,<br />

June 1975.<br />

[2] N. O. Sokal, “Class-E switch<strong>in</strong>g-mode high-efficiency tuned<br />

RF/microwave <strong>power</strong> amplifier: improved design equati<strong>on</strong>s,”<br />

IEEE MTT-S Int. Microwave Symp. Digest, 2000, vol. 2 , pp.<br />

779-782.<br />

[3] F. H. Raab, “Idealized operati<strong>on</strong> <strong>of</strong> <strong>the</strong> <strong>class</strong> E tuned <strong>power</strong><br />

amplifier,” IEEE Transacti<strong>on</strong>s <strong>on</strong> Circuits and Systems, vol.<br />

CAS-24, no. 12, pp. 725-735, December 1977.<br />

[4] G. K. W<strong>on</strong>g and S. I. L<strong>on</strong>g, High efficiency bipolar <strong>power</strong><br />

amplifers, F<strong>in</strong>al Report 1997-98 for MICRO Project 97-104,<br />

see www.ucop.edu/research/micro/97 98/97 104.pdf<br />

[5] D. K. Choi and S. I. L<strong>on</strong>g, “A physically based analytic model<br />

<strong>of</strong> FET Class-E <strong>power</strong> <strong>amplifiers</strong>—design<strong>in</strong>g for maximum<br />

PAE,” IEEE Transacti<strong>on</strong>s <strong>on</strong> Microwave Theory and Techniques,<br />

vol. 47, no. 9, pp. 1712-1720, September 1999.<br />

[6] C. Yoo and Q. Huang, “A comm<strong>on</strong>-gate switched 0.9-W <strong>class</strong>-<br />

E <strong>power</strong> amplifier with 41 % PAE <strong>in</strong> 0.25- CMOS,” IEEE<br />

J. Solid-State Circuits, vol. 36, no. 5, pp. 823-830, May 2001.<br />

[7] S. C. Cripps, RF Power Amplifiers for Wireless Communicati<strong>on</strong>s,<br />

Artech House, 1999.

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