26.10.2012 Views

Radio Frequency Integrated Circuit Design - Webs

Radio Frequency Integrated Circuit Design - Webs

Radio Frequency Integrated Circuit Design - Webs

SHOW MORE
SHOW LESS

You also want an ePaper? Increase the reach of your titles

YUMPU automatically turns print PDFs into web optimized ePapers that Google loves.

Power Amplifiers<br />

10.8.1 Variation on Class F: Second-Harmonic Peaking<br />

A second resonator allows the introduction of a second-harmonic voltage into<br />

the collector voltage waveform, producing an approximation of a half sinusoid,<br />

as seen in Figure 10.31. It can be shown that the amplitude of the secondharmonic<br />

voltage should be a quarter of the fundamental.<br />

It can be shown that the peak output voltage is given by<br />

and the efficiency is given by<br />

Vom = 4<br />

3 V CC<br />

379<br />

(10.36)<br />

� = 8<br />

� ≈ 84.9% (10.37)<br />

3<br />

10.8.2 Variation on Class F: Quarter-Wave Transmission Line<br />

A class F amplifier can also be built with a quarter-wave transmission line as<br />

shown in Figure 10.32 with waveforms shown in Figure 10.33.<br />

A quarter-wavelength transmission line transforms an open circuit into a<br />

short circuit and a short circuit into an open circuit. At the center frequency,<br />

the tuned circuit (L o and C o ) is an open circuit, but at all other frequencies,<br />

the impedance is close to zero. Thus, at the fundamental frequency the impedance<br />

into the transmission line is R L . At even harmonics, the quarter-wave transmission<br />

line leaves the short circuit as a short circuit. At odd harmonics, the short<br />

circuit is transformed into an open circuit. This is equivalent to having a<br />

resonator at all odd harmonics, with the result that the collector voltage waveform<br />

is a square wave (assuming that the odd harmonics are at the right levels).<br />

The collector current consists of the fundamental component (due to the<br />

load resistor) and all even harmonics. We note that there are no odd harmonics,<br />

Figure 10.31 Second-harmonic peaking waveforms.

Hooray! Your file is uploaded and ready to be published.

Saved successfully!

Ooh no, something went wrong!