Z transform is very important in frequency domain signal processing. With this in mind, find out the Z transform of nu(n) where u(n) is the unit step function.

Power System Analysis and Design (MindTap Course List)
6th Edition
ISBN:9781305632134
Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Chapter6: Power Flows
Section: Chapter Questions
Problem 6.16P
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Z transform is very important in frequency domain signal processing. With this in mind, find out the Z transform of nu(n) where u(n) is the unit step function.

Expert Solution
Step 1

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

Electrical Engineering homework question answer, step 1, image 1
Step 2

The unit step function u(n) can be expressed as

Electrical Engineering homework question answer, step 2, image 1
Step 3

Using equation (1), the Z transform of the unit step function will be

Electrical Engineering homework question answer, step 3, image 1
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