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Question 1 (a) Analyse the filter glven by H(z)=((1-e^(jtheta )z^(-1))(1-e^(-jtheta )z^(-1)))/((1-re^( ho theta )z^(-1))(1-re^(-jtheta )z^(-1))) . i. Find the poles and zeroes of this system.
Question 1\ (a) Analyse the filter glven by
H(z)=((1-e^(j\\\\theta )z^(-1))(1-e^(-j\\\\theta )z^(-1)))/((1-re^(\\\ ho \\\\theta )z^(-1))(1-re^(-j\\\\theta )z^(-1)))
.\ i. Find the poles and zeroes of this system. Explain how
r
affects the system stability.\ ii. Assume
r=0.75
and
\\\\theta =(\\\\pi )/(4)
. Sketch the magnitude response. Which type of filter does
H(z)
represent - low pass, high pass, band pass or band stop?\ (b) Design an IR filter based on the analog fiter Given by
H_(n)(s)=(1)/((s+1)(s+2))
(include the block diagram).
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