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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] =

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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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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