##
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

[Sequences and filters]
[Common Sequences ]
[Delay]
[Sinusoidal Response]