HW_10(483)S09

# HW_10(483)S09 - 1 EE 483 – Digital Signal Processing...

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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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## This note was uploaded on 02/02/2010 for the course EE 483 taught by Professor Mitra during the Fall '08 term at USC.

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HW_10(483)S09 - 1 EE 483 – Digital Signal Processing...

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