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Questions in IIP2 derivation

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diego.fan

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I'm reading <Effective IM2 products estimation for two-tone and W-CDMA modulated blockers in 3GPP directconversion receivers> written by Ali-Ahmad W. In IIP2 derivation, I have something which I cannot understand.

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1. A²/R is the equivalent power of A × cos(ω1t) or A × cos(ω1t) +A × cos(ω2t)? Why?
2. Why can cos[(ω1-ω2)t] and cos[(ω1+ω2)t] be transformed to 1/2R

Regards
Diego
 

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