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Radio Frequency Integrated Circuit Design - Webs

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

strongly LO voltage dependent, total noise happens to be roughly independent<br />

of instantaneous LO voltage, and the relative value is approximately 11 (arbitrary<br />

units). Noise from the source is dependent on instantaneous LO voltage varying<br />

from 0 to about 1.5 (arbitrary units). This plot illustrates why maximum signal<br />

gain and minimum noise figure is realized for a sufficiently large LO signal<br />

such that minimal time is spent around 0V. Thus, minimum double-sideband<br />

noise figure is<br />

NF = 10 log Notot 11<br />

= 10 log = 8.65 dB<br />

No(source) 1.5<br />

For a real, sinusoidal signal, some time is inevitably spent at 0V with a<br />

resulting time domain waveform as shown in Figure 7.10.<br />

In the diagram, the effective input noise is reduced down to about 1.1,<br />

and as a result the noise figure is increased to about 10 dB.<br />

Example 7.2 Mixer Noise and Gain with Degeneration<br />

In this example, some equations and simulation results will be shown for noise<br />

and gain versus degeneration.<br />

Without consideration of input and output matching, the noise sources<br />

associated with R S and R E of Figure 7.11 both have gain approximately equal<br />

to the signal gain given by<br />

Figure 7.10 Noise calculations.

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