![Problem 3 20 points Let f[n]- 1,2,1,0 Use MATLAB to compute the DFT F[k] and turn in the some comments and inclilcle the answ](http://img.homeworklib.com/images/2e5c2212-5fc0-4658-832e-8fa05699ae9f.png?x-oss-process=image/resize,w_560)
Homework Answers
Program:
clc;clear all;close all;
x=[1 2 1 0]
N=length(x)
n=0:1:N-1
k=0:1:N-1
%DFT
Xk=(exp(-j*2*pi*k'*n/N))*(x')
figure(1)
subplot(321)
stem(n,x)
xlabel('n')
ylabel('x(n)')
title('signal x(n)')
subplot(323)
stem(k,abs(Xk),'r')
xlabel('k')
ylabel('|Xk|')
title('DFT -|X(k)| ')
subplot(324)
stem(k,angle(Xk),'g')
xlabel('k')
ylabel('<Xk>')
title('Phase response of X(k) ')
F=fft(x,N)
subplot(325)
stem(k,abs(F),'r')
xlabel('k')
ylabel('|Fk|')
title('DFT from FFT -|F(k)| ')
subplot(326)
stem(k,angle(F),'g')
xlabel('k')
ylabel('<Fk>')
title('Phase response of F(k) ')
Command
window:
Xk =
4.00000 + 0.00000i
0.00000 - 2.00000i
0.00000 + 0.00000i
-0.00000 + 2.00000i
F =
4 + 0i 0 - 2i 0 + 0i 0 + 2i
Plot:
Add Answer to:
Problem 3 20 points Let f[n]- 1,2,1,0 Use MATLAB to compute the DFT F[k] and turn in the some com...
yin]-[x, -X]. Plot the magnitude of XIK] and YK] in Problem 1. Let x[n]=cos(2n/20*n)+randn( 1, 20) for n= 1:20 Matlab. x(k) is the fft of x zero padded to 40 data points. What is the relationship bet...
yin]-[x, -X]. Plot the magnitude of XIK] and YK] in Problem 1. Let x[n]=cos(2n/20*n)+randn( 1, 20) for n= 1:20 Matlab. x(k) is the fft of x zero padded to 40 data points. What is the relationship between X[k] and YK? data points. What is the relationship between XIK] and YIK]?
yin]-[x, -X]. Plot the magnitude of XIK] and YK] in Problem 1. Let x[n]=cos(2n/20*n)+randn( 1, 20) for n= 1:20 Matlab. x(k) is the fft of x zero padded to 40...
| The 8-point DFT of a sequence x[n] is X[k]=102-1047k, Osk57. Use the inverse DFT in...
| The 8-point DFT of a sequence x[n] is X[k]=102-1047k, Osk57. Use the inverse DFT in MATLAB to find the sequence x[n]. Turn in a copy of your code and the output generated.
1. Let {X[k]}K=o be the N = 8-point DFT of the real-valued sequence x[n] = [1,...
1. Let {X[k]}K=o be the N = 8-point DFT of the real-valued sequence x[n] = [1, 2, 3, 4]. (a) Let Y[k] = X[k]ejak + X[<k – 4 >8] be the N = 8-point DFT of a sequence y[n]. Compute y[n]. Note: Do NOT compute X[k]. (b) Let Y[k] = X*[k] be the DFT of the sequence y[n], where * denotes the conjugate. Compute the sequence y[n]. Note: Do NOT compute X[k].
Compute the FFT for x(n)-3, -2,-1,0,1,2,3,4], compute using 4-point DFT blocks and decimation in time method...
Compute the FFT for x(n)-3, -2,-1,0,1,2,3,4], compute using 4-point DFT blocks and decimation in time method (all details are required) (2 points)
Can you help me to solve this problem P5.30 Let X (k) be the 8-point DFT of a 3-point sequence x(n)- 15, -4,3). Let Y(k) be the 8-point DFT of a sequence y(n). Determine y(n) when Y (k) -Ws*X(-k)s....
Can you help me to solve this problem
P5.30 Let X (k) be the 8-point DFT of a 3-point sequence x(n)- 15, -4,3). Let Y(k) be the 8-point DFT of a sequence y(n). Determine y(n) when Y (k) -Ws*X(-k)s.
P5.30 Let X (k) be the 8-point DFT of a 3-point sequence x(n)- 15, -4,3). Let Y(k) be the 8-point DFT of a sequence y(n). Determine y(n) when Y (k) -Ws*X(-k)s.
MATLAB Code Question alpha = 2.3 beta = 4.3 zeta = 9.1 PROBLEM 4 (20 points). Consider three sinusoids with the following amplitudes and phases a.cs(2n(500t)) β.cos(2n(500t) +0.5r) x1n] x2[n] rn...
MATLAB Code Question
alpha = 2.3
beta = 4.3
zeta = 9.1
PROBLEM 4 (20 points). Consider three sinusoids with the following amplitudes and phases a.cs(2n(500t)) β.cos(2n(500t) +0.5r) x1n] x2[n] rn = cos(2(500t)0.75) Create a MATLAB program to sample each sinusoid and generate a sum of three sinusoids, that is using a sampling rate of 8,000 Hz over a range of 0.1 seconds Use the MATLAB function stem) to plot r[n] for the first 20 samples Use the MATLAB function...
Matlab code for dft to implment difference equation:Compute the N = 128 point DFT of the sequence
In this question, the code is need to make dft at the first and then there are many requirmentsIdentification of pole positions in a system consider the system described by the difference equationy(n) = -r2y(n – 2) + x(n)(a) Let r = 0.9 and x(n) = ?(n). Generate the output sequence y(n) for 0 ? n ? 127.Compute the N = 128 point DFT {Y(k)} and {|Y(k)|}.(b) Compute the N = 128 point DFT of the sequence?(n) = (0.92)-ny(n)Where y(n)...
It is suggested that if you have an FFT subroutine for computing a length-N DFT, the...
It is suggested that if you have an FFT subroutine for computing a length-N DFT, the inverse DFT of an N-point sequence X[k] can be implemented using this subroutine as follows: 1. Swap the real and imaginary parts of each DFT coefficient X[k]. 2. Apply the FFT routine to this input sequence. 3. Swap the real and imaginary parts of the output sequence. 4. Scale the resulting sequence by 1/N to obtain the sequence x[n], corresponding to the inverse DFT...
Compute the DFT for each of the foregoing signals using the MATLAB M-file dft (a) x[0)...
Compute the DFT for each of the foregoing signals using the
MATLAB M-file dft
(a) x[0) - 1,x[1] =0, x[2] = 1,x[3] = 0 (b) x[0] = 1, *[1] = 0, x{2) = -1, x[3) = 0 (e) x[0] = 1, x[1] = 1, x[2] = -1, x[3] = -1
2. (20 points) Let input x(n) (1 0 0) and impulse response h(n) (1 0). Each...
2. (20 points) Let input x(n) (1 0 0) and impulse response h(n) (1 0). Each has length of N-3 and N 2, respectively. Append zeros to x(n) and h(n) to make the length of both equal to N+N-1 Find the output y(n) by using the DFT and the inverse DFT method.
yin]-[x, -X]. Plot the magnitude of XIK] and YK] in Problem 1. Let x[n]=cos(2n/20*n)+randn( 1, 20) for n= 1:20 Matlab. x(k) is the fft of x zero padded to 40 data points. What is the relationship between X[k] and YK? data points. What is the relationship between XIK] and YIK]?
yin]-[x, -X]. Plot the magnitude of XIK] and YK] in Problem 1. Let x[n]=cos(2n/20*n)+randn( 1, 20) for n= 1:20 Matlab. x(k) is the fft of x zero padded to 40...
| The 8-point DFT of a sequence x[n] is X[k]=102-1047k, Osk57. Use the inverse DFT in MATLAB to find the sequence x[n]. Turn in a copy of your code and the output generated.
1. Let {X[k]}K=o be the N = 8-point DFT of the real-valued sequence x[n] = [1, 2, 3, 4]. (a) Let Y[k] = X[k]ejak + X[<k – 4 >8] be the N = 8-point DFT of a sequence y[n]. Compute y[n]. Note: Do NOT compute X[k]. (b) Let Y[k] = X*[k] be the DFT of the sequence y[n], where * denotes the conjugate. Compute the sequence y[n]. Note: Do NOT compute X[k].
Compute the FFT for x(n)-3, -2,-1,0,1,2,3,4], compute using 4-point DFT blocks and decimation in time method (all details are required) (2 points)
Can you help me to solve this problem
P5.30 Let X (k) be the 8-point DFT of a 3-point sequence x(n)- 15, -4,3). Let Y(k) be the 8-point DFT of a sequence y(n). Determine y(n) when Y (k) -Ws*X(-k)s.
P5.30 Let X (k) be the 8-point DFT of a 3-point sequence x(n)- 15, -4,3). Let Y(k) be the 8-point DFT of a sequence y(n). Determine y(n) when Y (k) -Ws*X(-k)s.
MATLAB Code Question
alpha = 2.3
beta = 4.3
zeta = 9.1
PROBLEM 4 (20 points). Consider three sinusoids with the following amplitudes and phases a.cs(2n(500t)) β.cos(2n(500t) +0.5r) x1n] x2[n] rn = cos(2(500t)0.75) Create a MATLAB program to sample each sinusoid and generate a sum of three sinusoids, that is using a sampling rate of 8,000 Hz over a range of 0.1 seconds Use the MATLAB function stem) to plot r[n] for the first 20 samples Use the MATLAB function...
It is suggested that if you have an FFT subroutine for computing a length-N DFT, the inverse DFT of an N-point sequence X[k] can be implemented using this subroutine as follows: 1. Swap the real and imaginary parts of each DFT coefficient X[k]. 2. Apply the FFT routine to this input sequence. 3. Swap the real and imaginary parts of the output sequence. 4. Scale the resulting sequence by 1/N to obtain the sequence x[n], corresponding to the inverse DFT...
Compute the DFT for each of the foregoing signals using the
MATLAB M-file dft
(a) x[0) - 1,x[1] =0, x[2] = 1,x[3] = 0 (b) x[0] = 1, *[1] = 0, x{2) = -1, x[3) = 0 (e) x[0] = 1, x[1] = 1, x[2] = -1, x[3] = -1
2. (20 points) Let input x(n) (1 0 0) and impulse response h(n) (1 0). Each has length of N-3 and N 2, respectively. Append zeros to x(n) and h(n) to make the length of both equal to N+N-1 Find the output y(n) by using the DFT and the inverse DFT method.
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