Homework Answers
2.10-4)
a)
clc;close all;clear all;
t=-2:0.01:2
g=(t.^3)
T=4;t1=linspace(-6,6,3*length(t))
g1=[g g g]
subplot(2,2,[1,2])
plot(t1,g1,'r')
xlabel('t')
ylabel('g(t)')
title('Periodic signal g(t)')
%To calculate FFT
fs=1;Ts=1/fs;N=25
n=-N:1:N
g=(n*Ts).^3
G=fft(g);
Gshift=fftshift(G);
subplot(223)
stem(n,(abs(Gshift))/(abs(max(Gshift))))
title('Amplitude spectra')
xlabel('k..>')
ylabel('|G|')
subplot(224)
stem(n,angle(Gshift),'g')
title('Phase spectra')
xlabel('k..>')
ylabel('<G>')
b)
clc;close all;clear all;
t=-1:0.01:3
g=(t>=-1 & t<=1)-(t>=1 &t<=3)
T=4;
t1=linspace(-5,7,3*length(t))
g1=[g g g]
subplot(2,2,[1,2])
plot(t1,g1,'r','linewidth',3)
xlabel('t')
ylabel('g(t)')
title('Periodic signal g(t)')
%To calculate FFT
fs=1;Ts=1/fs;N=25
n=-N:1:N
g=(n>=0 & n<=1)-(n>=3 &n<=5)
G=fft(g);
Gshift=fftshift(G);
subplot(223)
stem(n,(abs(Gshift)))
title('Amplitude spectra')
xlabel('k..>')
ylabel('|G|')
subplot(224)
stem(n,angle(Gshift),'g')
title('Phase spectra')
xlabel('k..>')
ylabel('<G>')
c)
clc;close all;clear all;
t=-2:0.01:4
g=((t+2).*(t>=-2 & t<=-1))+(t>-1
&t<=1)+((2-t).*(t>1&t<=2))
T=6;
t1=linspace(-8,10,3*length(t))
g1=[g g g]
subplot(2,2,[1,2])
plot(t1,g1,'r','linewidth',3)
xlabel('t')
ylabel('g(t)')
title('Periodic signal g(t)')
%To calculate FFT
fs=1;Ts=1/fs;N=25
n=-N:1:N
t=n*Ts
g=((t+2).*(t>=-2 & t<=-1))+(t>-1
&t<=1)+((2-t).*(t>1&t<=2))
G=fft(g);
Gshift=fftshift(G);
subplot(223)
stem(n,(abs(Gshift)))
title('Amplitude spectra')
xlabel('k..>')
ylabel('|G|')
subplot(224)
stem(n,angle(Gshift),'g')
title('Phase spectra')
xlabel('k..>')
ylabel('<G>')
Add Answer to:
question 2.10-4 with matlab code.
2.10-3 Using direct integration, numerically derive and plot the exponential Fourier...
2.10-3 Using direct integration, numerically derive and plot the exponential Fourier series coefficients of the followi...
2.10-3 Using direct integration, numerically derive and plot the exponential Fourier series coefficients of the following periodic signals: (a) The signal waveform of Figure P2.1-5 (b) The signal waveform of Figure P2.1-10(a) (c) The signal waveform of Figure P2.1-10(f) 2.10-4 Using the FFT method, repeat Problem 2.10-3. e P2.1-5 g (t) -6 4 -8
2.10-3 Using direct integration, numerically derive and plot the exponential Fourier series coefficients of the following periodic signals: (a) The signal waveform of Figure P2.1-5 (b)...
Part 1: Exponential Fourier series The following MATLAB code calculates the exponential Fourier series coefficient for...
Part 1: Exponential Fourier series The following MATLAB code calculates the exponential Fourier series coefficient for the signal x(t) shown in the figure below, plots it's double sided amplitude spectrum IDn l, double sided phase spectrem LDn, and the resulting signal xn(t). 4r 4a Periodic signal x(t) 1.1 Show that the complex Fourier Series Coefficients written as: D 1.2 Use the following Matlab to general the two sided spectral line. 1.3 Execute the Matlab code with To = 2π and...
Problem 2: A periodic signalxit) is shown below A =10, T-4 sec. -T Write a MATLAB script to plot ...
Problem 2: A periodic signalxit) is shown below A =10, T-4 sec. -T Write a MATLAB script to plot the signal, using enough points to get a smooth curve. Compute the Fourier series coefficients for the signal (if you can find them in the text, that is ok). Plot the single-sided or double-sided spectra for each signal. Include enough frequencies in the plots to adequately represent the frequency content of the signals. Plot partial sums of the Fourier series for...
Now use MATLAB to generate and plot 15seconds of this signal in the time-domain.Use the fft()...
Now use MATLAB to generate and plot 15seconds of this signal
in the time-domain.Use the fft() function to find the fourier
transform of this signal and plot its magnitude spectrum
School of Engineering Task 3 - The Fourier Transform: Scaling property Exercise: Let's take a look now at using the Fourier transform on aperiodic signals. Consider the real exponential signal from the discharging capacitor in tas 3 of laboratory 1 which was found to be: You(t)=e"u(t) Begin by calculating manually...
A periodic signal, x(t) is shown below. A = 10, T-4 sec. -T Write a MATLAB script to plot the sig...
A periodic signal, x(t) is shown below. A = 10, T-4 sec. -T Write a MATLAB script to plot the signal, using enough points to get a smooth curve. Compute the Fourier series coefficients for the signal (if you can find them in the text, that is ok). Plot the single-sided or double-sided spectra for each signal. Include enough frequencies in the plots to adequately represent the frequency content of the signals. Plot partial sums of the Fourier series for...
Use MATLAB to solve this question: Lab Exercises: Fourier Series Coefficients 4 In this lab, the...
Use MATLAB to solve this question: Lab Exercises: Fourier Series Coefficients 4 In this lab, the objective is to create a set of functions that will enable us to do the following 1. Evaluate the Fourier Series coefficients for the following periodic signal which is defined over one period to be rt)240sin (100nt) for 0ts 1/100 (6) The period is 1/100 seconds. This signal is called a full-wave rectified sinusoid, because it contains only the positive lobe of the sinusoidal...
MATLAB ONLY MATLAB ONLY MATLAB ONLY MATLAB ONLY MATLAB ONLY MATLAB ONLY MATLAB ONLY MATLAB ONLY....... Project V: Fourier Based System Modeling The last project in the class involves the modeling of a...
MATLAB ONLY MATLAB ONLY MATLAB ONLY MATLAB ONLY MATLAB ONLY
MATLAB ONLY MATLAB ONLY MATLAB ONLY.......
Project V: Fourier Based System Modeling The last project in the class involves the modeling of a position control system, with a variety of fcedback control gains with a periodic input. The basic model of a motor, and control system are laid out in Appendix A. This system is meant to control the shaft position of a motor. 0. Coding and Plotting a) Coding...
in Matlab Implement Matlab code for the periodic signals given by their Fourier Series approximation as...
in Matlab
Implement Matlab code for the periodic signals given by their Fourier Series approximation as follows: 100 k=-100 100 E2 sine alytai".트.h(블)-a* Implement the sum as given by the above equations. Note that in Matlab, array indices are pos- itive and start at 1. Define the negative coefficients carefully. Plot the signals, and the real and imaginary part of the signals ri (t) and x2 (t). In each case, determine the following: (a) Are the signals real? (b) Are...
f) Calculate the coefficients of the trigonometric form of the Fourier series numerically in MATLAB and...
f) Calculate the coefficients of the trigonometric form of the Fourier series
numerically in MATLAB and graphically represent the one-sided spectrum
(width and phase) frequency for n up to 10 compared to the analytics results.
g) From the coefficients of the trigonometric form of the Fourier series ,
calculate the coefficients of the exposure series and present the two-sided spectrum (width and phase) frequency.
h) Find the average and active value of the signal from the Fourier expansion.
i) Check...
Please help by writing a MATLAB Code for the this lab Fourier Series Synthesis You will...
Please help by writing a MATLAB Code for the this lab
Fourier Series Synthesis
You will consider five continuous-time signals
1-
2-
for
A
D
4-
We were unable to transcribe this imageWe were unable to transcribe this imager(t) e-t for-1 < t > 1 x(t) 2 2 4 3 3 x(t) -4 2 2 4 2 1, 0sts be a periodic signal with fundamental period T = 2 and Fourier coefficients ak. (a) Determine the value of ao (b)...
2.10-3 Using direct integration, numerically derive and plot the exponential Fourier series coefficients of the following periodic signals: (a) The signal waveform of Figure P2.1-5 (b) The signal waveform of Figure P2.1-10(a) (c) The signal waveform of Figure P2.1-10(f) 2.10-4 Using the FFT method, repeat Problem 2.10-3. e P2.1-5 g (t) -6 4 -8
2.10-3 Using direct integration, numerically derive and plot the exponential Fourier series coefficients of the following periodic signals: (a) The signal waveform of Figure P2.1-5 (b)...
Part 1: Exponential Fourier series The following MATLAB code calculates the exponential Fourier series coefficient for the signal x(t) shown in the figure below, plots it's double sided amplitude spectrum IDn l, double sided phase spectrem LDn, and the resulting signal xn(t). 4r 4a Periodic signal x(t) 1.1 Show that the complex Fourier Series Coefficients written as: D 1.2 Use the following Matlab to general the two sided spectral line. 1.3 Execute the Matlab code with To = 2π and...
Problem 2: A periodic signalxit) is shown below A =10, T-4 sec. -T Write a MATLAB script to plot the signal, using enough points to get a smooth curve. Compute the Fourier series coefficients for the signal (if you can find them in the text, that is ok). Plot the single-sided or double-sided spectra for each signal. Include enough frequencies in the plots to adequately represent the frequency content of the signals. Plot partial sums of the Fourier series for...
Now use MATLAB to generate and plot 15seconds of this signal
in the time-domain.Use the fft() function to find the fourier
transform of this signal and plot its magnitude spectrum
School of Engineering Task 3 - The Fourier Transform: Scaling property Exercise: Let's take a look now at using the Fourier transform on aperiodic signals. Consider the real exponential signal from the discharging capacitor in tas 3 of laboratory 1 which was found to be: You(t)=e"u(t) Begin by calculating manually...
A periodic signal, x(t) is shown below. A = 10, T-4 sec. -T Write a MATLAB script to plot the signal, using enough points to get a smooth curve. Compute the Fourier series coefficients for the signal (if you can find them in the text, that is ok). Plot the single-sided or double-sided spectra for each signal. Include enough frequencies in the plots to adequately represent the frequency content of the signals. Plot partial sums of the Fourier series for...
Use MATLAB to solve this question: Lab Exercises: Fourier Series Coefficients 4 In this lab, the objective is to create a set of functions that will enable us to do the following 1. Evaluate the Fourier Series coefficients for the following periodic signal which is defined over one period to be rt)240sin (100nt) for 0ts 1/100 (6) The period is 1/100 seconds. This signal is called a full-wave rectified sinusoid, because it contains only the positive lobe of the sinusoidal...
MATLAB ONLY MATLAB ONLY MATLAB ONLY MATLAB ONLY MATLAB ONLY
MATLAB ONLY MATLAB ONLY MATLAB ONLY.......
Project V: Fourier Based System Modeling The last project in the class involves the modeling of a position control system, with a variety of fcedback control gains with a periodic input. The basic model of a motor, and control system are laid out in Appendix A. This system is meant to control the shaft position of a motor. 0. Coding and Plotting a) Coding...
in Matlab
Implement Matlab code for the periodic signals given by their Fourier Series approximation as follows: 100 k=-100 100 E2 sine alytai".트.h(블)-a* Implement the sum as given by the above equations. Note that in Matlab, array indices are pos- itive and start at 1. Define the negative coefficients carefully. Plot the signals, and the real and imaginary part of the signals ri (t) and x2 (t). In each case, determine the following: (a) Are the signals real? (b) Are...
f) Calculate the coefficients of the trigonometric form of the Fourier series
numerically in MATLAB and graphically represent the one-sided spectrum
(width and phase) frequency for n up to 10 compared to the analytics results.
g) From the coefficients of the trigonometric form of the Fourier series ,
calculate the coefficients of the exposure series and present the two-sided spectrum (width and phase) frequency.
h) Find the average and active value of the signal from the Fourier expansion.
i) Check...
Please help by writing a MATLAB Code for the this lab
Fourier Series Synthesis
You will consider five continuous-time signals
1-
2-
for
A
D
4-
We were unable to transcribe this imageWe were unable to transcribe this imager(t) e-t for-1 < t > 1 x(t) 2 2 4 3 3 x(t) -4 2 2 4 2 1, 0sts be a periodic signal with fundamental period T = 2 and Fourier coefficients ak. (a) Determine the value of ao (b)...
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