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Tones input in to an amplifier

Assignment:

Suppose two tones are input in to an amplifier. The tones are pure sinusoids with one at frequencies 8GHz and the other at frequency 8.03GHz,(delta f =0.03GHz). Assume that the transfer characteristic of the amplifier is represented by V_out= k_o + k₁V_in +k₂V_in^2 +k₃V_in^3...+k₉V_in^9. List the output frequencies of all 3rd order (those near 24 GHz) and 4th order (those near 32GHz) signals in ascending order of frequency.

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