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1. Use the tables to find the z transforms of the following j. 2n k. (-3) 1. sin(nπ/2)

1. Use the tables to find the z transforms of the following j. 2n k. (-3) 1. sin(nπ/2)

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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1. Use the tables to find the z transforms of the following j. 2n k. (-3) 1. sin(nπ/2)
Transcribed Image Text:1. Use the tables to find the z transforms of the following j. 2n k. (-3) 1. sin(nπ/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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