# HW9 - UNIVERSITY OF ILLINOIS AT URBANA-CHAMPAIGN Department...

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UNIVERSITY OF ILLINOIS AT URBANA-CHAMPAIGN Department of Electrical and Computer Engineering ECE 310 Digital Signal Processing Problem Set 9 Fall 2003 Due: Friday, October 31, 2003 Problem 9.1 A signal x ( t ) undergoes a zero-order hold operation with an e±ective sampling period T to produce a signal x 0 ( t ) = n = -∞ x ( nT ) h 0 ( t - nT ). Let x 1 ( t ) be the result of a ²rst-order hold operation on the samples x ( nT ) of the signal x ( t ), i.e., x 1 ( t ) = X n = -∞ x ( nT ) h 1 ( t - nT ) , where h 1 ( t ) = 1 - t T , 0 t T 1 + t T , - T t 0 0 , otherwise Specify the frequency response of a ²lter that produces x 1 ( t ) as its output when x 0 ( t ) is the input. Problem 9.2 Consider an interpolation operation which consists of upsampling by a factor of L followed by a LSI ²lter with impulse response h ( n ). Denote the input signal to this device as x ( n ) and the output signal as y ( n ). (a)

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## This note was uploaded on 08/08/2009 for the course ECE 210 taught by Professor Whoever during the Fall '07 term at University of Illinois at Urbana–Champaign.

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HW9 - UNIVERSITY OF ILLINOIS AT URBANA-CHAMPAIGN Department...

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