Z Transform Sinusoidal Response

Ele 541 Electronic Testing

Sinusoidal Response

Consider the response of a filter to the complex simusoidal signal x(k).

The convolution summation describes the response

Plugging in the sinusoidal input x(k)

where   is H(z), the z-transform of h(k) with . Therefore letting in the unit pulse response of a filter, H(z), allows us to evaluate the sinusoidal response of the filter. More information on
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