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Please solve p1 of this question which also includes the matlab code by using the functions for matlab that i already have given in the images i provided thank you

Please solve p1 of this question which also includes the matlab code by using the functions for matlab that i already have given in the images i provided thank you

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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Please solve p1 of this question which also includes the matlab code by using the functions for matlab that i already have given in the images i provided thank you

Mfile: function [Xk] = dft(xn,N) & Computes Discrete Fourier Transform [Xk] = dft (xn, N) % Xk = DFT coeff. array over 0 <= k <= N-1 = % xn N-point finite-duration sequence n = = N Length of DFT [0:1:N-1]; k = [0:1:N-1]; WN = exp(-j*2*pi/N); nk = n'*k; WNnk = Xk = xn WN.nk; * WNnk; row vector for n row vecor for k % Wn factor %creates a N by N matrix of nk values % DFT matrix row vector for DFT coefficients Mfile: function [xn] = idft (Xk, N) 8 Computes Inverse Discrete Transform % [xn] % xn= ge = = idft (Xk,N) N-point sequence over 0 <= n <= N-1 Xk DFT coeff. array over 0 <= k <= N-1 N = length of DFT n = [0:1:N-1]; k = [0:1:N-1]; WN = exp(-j*2*pi/N); nk=n'*k; WNnk WN.^(-nk); xn = (Xk * WNnk) /N; row vector for n &row vecor for k % Wn factor % creates a N by N matrix of nk values * IDFT matrix row vector for IDFT values
Transcribed Image Text:Mfile: function [Xk] = dft(xn,N) & Computes Discrete Fourier Transform [Xk] = dft (xn, N) % Xk = DFT coeff. array over 0 <= k <= N-1 = % xn N-point finite-duration sequence n = = N Length of DFT [0:1:N-1]; k = [0:1:N-1]; WN = exp(-j*2*pi/N); nk = n'*k; WNnk = Xk = xn WN.nk; * WNnk; row vector for n row vecor for k % Wn factor %creates a N by N matrix of nk values % DFT matrix row vector for DFT coefficients Mfile: function [xn] = idft (Xk, N) 8 Computes Inverse Discrete Transform % [xn] % xn= ge = = idft (Xk,N) N-point sequence over 0 <= n <= N-1 Xk DFT coeff. array over 0 <= k <= N-1 N = length of DFT n = [0:1:N-1]; k = [0:1:N-1]; WN = exp(-j*2*pi/N); nk=n'*k; WNnk WN.^(-nk); xn = (Xk * WNnk) /N; row vector for n &row vecor for k % Wn factor % creates a N by N matrix of nk values * IDFT matrix row vector for IDFT values
P1) Let x1(n) = {1,2,2, 1}. A new sequence x2(n) is formed using x₁(n), 0<n<3; x2(n) = x(n4), 4 < n < 7; 0, otherwise. 1. Express X2 (ej) in terms of X₁ (el) without explicitly computing X₁ (ej). 2. Verify your result using MATLAB by computing and plotting the magnitudes of the respective DTFTs. P2) Use the DTFT function to compute the DTFT X(ei) of the following finite-duration sequences over →≤≤л. Plot DTFT magnitude and angle graphs in one figure window. 1. x(n) = {4,3,2,1, 1, 2, 3, 4}. Comment on the angle plot. 2. x(n) = {4,3,2, 1, −1, −2, -3, -4}. Comment on the angle plot. DTFT function function [X] = dtft(x,n,w) X = x*exp(-j*n**w); end
Transcribed Image Text:P1) Let x1(n) = {1,2,2, 1}. A new sequence x2(n) is formed using x₁(n), 0<n<3; x2(n) = x(n4), 4 < n < 7; 0, otherwise. 1. Express X2 (ej) in terms of X₁ (el) without explicitly computing X₁ (ej). 2. Verify your result using MATLAB by computing and plotting the magnitudes of the respective DTFTs. P2) Use the DTFT function to compute the DTFT X(ei) of the following finite-duration sequences over →≤≤л. Plot DTFT magnitude and angle graphs in one figure window. 1. x(n) = {4,3,2,1, 1, 2, 3, 4}. Comment on the angle plot. 2. x(n) = {4,3,2, 1, −1, −2, -3, -4}. Comment on the angle plot. DTFT function function [X] = dtft(x,n,w) X = x*exp(-j*n**w); end
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