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b. Z Z-3

b. Z Z-3

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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2. Use the tables to find the inverse z transforms of the following b. Z Z-3 C. 2z z+5 d. 3z Z-2
Transcribed Image Text:2. Use the tables to find the inverse z transforms of the following b. Z Z-3 C. 2z z+5 d. 3z Z-2
Table 2: Some common z- transform pairs Signal, x(n) 8(n) u(n) a" u(n) na"u(n) -a"u(-n-1) -na" u(-n-1) (coswon)u(n) (sin won)u(n) (a" coswon)u(n) (a" sin won)u(n) z-Transform, X(z) 1 1 1-z-1 1 1-az-1 az-1 (1-az-1)² 1 1-az az-1 (1-az-1)2 1-z-1, 1-2z-1 coswo+z-2 Coswo z-1 sin wo 1-2z-1 coswo+z-2 1-az-¹ coswo 1-2az-1 coswo+a²z-² az-1 sin wo 1-2az-1 coswo+a²z-² ROC All z z > 1 |z| > |a| |z| > |a| |z| < |a| |z| < |a| |z|>1 z > 1 |z| > |a| |z| > |a|
Transcribed Image Text:Table 2: Some common z- transform pairs Signal, x(n) 8(n) u(n) a" u(n) na"u(n) -a"u(-n-1) -na" u(-n-1) (coswon)u(n) (sin won)u(n) (a" coswon)u(n) (a" sin won)u(n) z-Transform, X(z) 1 1 1-z-1 1 1-az-1 az-1 (1-az-1)² 1 1-az az-1 (1-az-1)2 1-z-1, 1-2z-1 coswo+z-2 Coswo z-1 sin wo 1-2z-1 coswo+z-2 1-az-¹ coswo 1-2az-1 coswo+a²z-² az-1 sin wo 1-2az-1 coswo+a²z-² ROC All z z > 1 |z| > |a| |z| > |a| |z| < |a| |z| < |a| |z|>1 z > 1 |z| > |a| |z| > |a|
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