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What will be the Z transform of x(n)=anT u(n) with a>0 and T is constant.

What will be the Z transform of x(n)=anT u(n) with a>0 and T is constant.

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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Question

What will be the Z transform of x(n)=anT u(n) with a>0 and T is constant.

Expert Solution
Step 1

For any discrete time signal x(n), the Z transform of x(n) is defined as

> (1) X ε) -Σ x) " >(1)
Step 2

The discrete time unit step function u(n) is defined as

[1 when n>0 u(n) = < |0 when n < 0 (2)
Step 3

In this case, the discrete time function is given as

x(n) = d™u(n) – –>(3) where a >0 and T = constant
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