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)
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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3b5d4c98-afbd-424f-9855-c5eac84955f5%2Fc04e052d-bd4e-4e31-9c28-523a952aaa51%2F9vrd9gi_processed.jpeg&w=3840&q=75)
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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3b5d4c98-afbd-424f-9855-c5eac84955f5%2Fc04e052d-bd4e-4e31-9c28-523a952aaa51%2F5ur2dom_processed.png&w=3840&q=75)
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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