Nonlinear response

• Actual response can be written as

y=a1x+a3x3

• we have a cubic distortion

• the output now becomes

y=a1Vcos(wt)+a3V3cos3(wt)

• Trigonometric identity gives

cos3(wt)=(3/4)cos(wt)+(1/4)cos(3wt)

• The output is thus given by

y=[a1+(3/4)a3]Vcos(wt)-(1/4)a3V3cos(3wt)

• Thus a small cubic nonlinearity gives rise to a modified response at w but also generates a new signal at 3w

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