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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] × 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 №2 - 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] =

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] × 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 №2 - 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] =

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:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Chapter6: Power Flows
Section: Chapter Questions
Problem 6.22P
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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] × 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 №2 - 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] =
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] × 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 №2 - 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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