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Unformatted text preview: 1 EE 483 Digital Signal Processing Spring 2009 Homework #10 Due Wednesday, April 1, 2009 by 4:30 p.m. 10.1 Problem 10.2 of Text, Page 578. Change N = 75 in the problem statement to N = 85. 10.2 Show that by cascading an ideal differentiator with a half-sample delay makes the overall phase response linear while not changing the magnitude response. 10.3 We are given a lowpass Type 1 FIR filter h [ n ] of order N with passband and stopband edges at p and s , respectively, and passband ripple p and stopband ripple s . Define g [ n ] = ( 1) N / 2 [ n 0.5 N ] ( 1) n h [ n ]. (a) What type is the filter g [ n ] and what is the nature of its frequency response? (b) Express the passband and stopband ripples, and the bandedges of the filter g [ n ] in terms of these parameters of h [ n ]. 10.4 Determine a cubic approximation 3 3 2 2 1 x a x a x a a + + + to the quartic function 4 5 2 4 + x x defined for the range 2 2 x by minimizing the peak value of...
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