Power System Analysis and Design (MindTap Course List)
Power System Analysis and Design (MindTap Course List)
6th Edition
ISBN: 9781305632134
Author: J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Publisher: Cengage Learning
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![画像:Problem 3 (a) Consider x[n] = { 0, 1, 0 ≤ n ≤N-1 otherwise _and_h[n] = { 1, 0 ≤ n ≤M-1 0, otherwise with N > M. Plot the sequence y[n] = x[n] ×ばつ h[n]. Make sure to specify the amplitude values * and time indices n of y[n] where y[n] is constant. (b) Express the number L of samples of y[n] that are non-zero in terms of M and N. (c) Consider x'[n] = { 0, 1, N1 ≤ n ≤ N2 otherwise 1, M1n M2 and h'[n] = = 0, otherwise ', and assume that No2 - N1 = N-1 and M2 - M1 = x'[n] h'[n] is equal to a shifted version of y[n]. What is the value of the shift? - = M 1. Show that the sequence y'[n] =](https://content.bartleby.com/qna-images/question/a5b75143-9ad0-4b41-a9ea-1d4e86bf4b3a/fff8778f-fe99-4072-8fb6-8bca423a0d28/knexaao_thumbnail.png){kind=link}
Transcribed Image Text:Problem 3
(a) Consider
x[n]
=
{
0,
1, 0 ≤ n ≤N-1
otherwise
_and_h[n] = {
1, 0 ≤ n ≤M-1
0, otherwise
with N > M. Plot the sequence y[n] = x[n] ×ばつ h[n]. Make sure to specify the amplitude values
*
and time indices n of y[n] where y[n] is constant.
(b) Express the number L of samples of y[n] that are non-zero in terms of M and N.
(c) Consider
x'[n]
=
{
0,
1, N1 ≤ n ≤ N2
otherwise
1, M1n M2
and h'[n] =
=
0, otherwise
',
and assume that No2 - N1 = N-1 and M2 - M1
=
x'[n] h'[n] is equal to a shifted version of y[n]. What is the value of the shift?
-
= M 1. Show that the sequence y'[n]
=
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