Question: A low-pass IIR discrete filter has a transfer function (a) Find the poles and zeros of this filter. (b) Suppose that you multiply the impulse

A low-pass IIR discrete filter has a transfer function

H(z) = 0.5

(a) Find the poles and zeros of this filter.

(b) Suppose that you multiply the impulse response of the low-pass  filter by (ˆ’1)n so that you obtain a new transfer function

H1 (z) = (-0.5)

Find the poles and zeros for H1(z). What type of filter is it?

(c) Is it true, in general, that if every zin a low-pass filter transfer function is changed into €“z you obtain a high-pass filter? Explain.

H(z) = 0.5"z-" --n n=0 H1 (z) = (-0.5)"z-" n=0

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