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## Digital Signal Processing

by: Sarina Wintheiser

140

0

2

# Digital Signal Processing ECE 512

Sarina Wintheiser
CSU
GPA 3.8

Venkatachalam

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COURSE
PROF.
Venkatachalam
TYPE
Class Notes
PAGES
2
WORDS
KARMA
25 ?

## Popular in ELECTRICAL AND COMPUTER ENGINEERING

This 2 page Class Notes was uploaded by Sarina Wintheiser on Tuesday September 22, 2015. The Class Notes belongs to ECE 512 at Colorado State University taught by Venkatachalam in Fall. Since its upload, it has received 140 views. For similar materials see /class/210276/ece-512-colorado-state-university in ELECTRICAL AND COMPUTER ENGINEERING at Colorado State University.

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Date Created: 09/22/15
321 327 334 ECE 512 Homework 2 Consider a linear timeinvariant system with impulse response hna 0 n lt0 n20 and input 1 0 s n s N 1 xn 0 otherwise a Determine the output yn by explicitly evaluating the discrete convolution of xn and hn b Determine the output yn by computing the inverse ztransform of the product of the z transform of xn and hn An LTI system is characterized by the system function 1 l 7 2 1 HZ lzlgt5 1 ell21 2 4 a Determine the impulse response of the system Using any method determine the inverse z transform for each of the following 1 a XZ 12 stable sequence 1 351 1 zz 11 36 b Xz e z3 2z c Xz 2 lefts1ded sequence Z Consider an LTI system that is stable and for which H z the ztransform of the of the impulse response is given by 3 7152 HZ l iz 1 2 2 Suppose xn the input to the system is a unit step sequence a Find the output yn by evaluating the discrete convolution of xn and hn b Find the output yn by computing the inverse z transform of Yz Using the de nition of the z transform in Eq 32 show that if X z is the z transform of xn xR n jx n then a xnltgt xz b x n4gt X1z Z l 9 9 c xRnlt gt 2Xz X z d xn4gt2ijxz xz

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