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Radio Frequency Integrated Circuit Design - Webs

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378 <strong>Radio</strong> <strong>Frequency</strong> <strong>Integrated</strong> <strong>Circuit</strong> <strong>Design</strong><br />

Figure 10.29 Class F frequency components of waveforms.<br />

8<br />

9 Vcm = VCC ∴ Vcm = 9<br />

8 VCC<br />

As an aside, the Fourier series for the ideal square wave is<br />

sin � + 1<br />

3<br />

(10.33)<br />

1<br />

sin 3� + sin 5� . . . (10.34)<br />

5<br />

However, choosing Vcm3 = 1/3Vom would produce a nonflat waveform,<br />

as shown in Figure 10.30.<br />

The efficiency can be calculated as Po /P dc. By taking a Fourier series of<br />

the iC (� ) waveform with a peak value of i cm, it can be shown that the dc<br />

value I dc is equal to i cm/� and the fundamental value of the output current<br />

Io is equal to i cm/2. As well, V om is equal to V cm. Thus, efficiency can be<br />

calculated as<br />

1<br />

Po 2<br />

=<br />

P dc (io<br />

1<br />

� Vom)<br />

=<br />

I dcVCC<br />

2�i cm<br />

2<br />

� 9<br />

8 VCC�<br />

i cm<br />

� � V CC<br />

= 9<br />

8<br />

Figure 10.30 Fundamental and third harmonic to make square wave.<br />

� �<br />

4 ⇒ 88.4% (10.35)

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