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Radio Frequency Integrated Circuit Design - Webs

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

Figure 2.12 Plot of input output power of fundamental and IM3 versus input power.<br />

IM3 = 3<br />

4 k 3v 3 i<br />

(2.51)<br />

Note that for small vi , the fundamental rises linearly (20 dB/decade) and<br />

that the IM3 terms rise as the cube of the input (60 dB/decade). A theoretical<br />

voltage at which these two tones will be equal can be defined:<br />

This can be solved for v IP3:<br />

3<br />

4 k 3v 3 IP3<br />

= 1 (2.52)<br />

k 1v IP3<br />

v IP3 = 2 √ k 1<br />

3k 3<br />

(2.53)<br />

Note that (2.53) gives the input voltage at the third-order intercept point.<br />

The input power at this point is called the input third-order intercept point<br />

(IIP3). If IP3 is specified at the output, it is called the output third-order intercept<br />

point (OIP3).

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