Question

Name: ID NO: Section: 1. Assume that you have three sinusoidal signals and the parameters of each one of them is given below Amplitude is 3. cyclic frequency is 50Hz and phase shift is - Amplitude is 4, radian frequency is 40 and phase shift is Amplitude is 6, period is 0.05s, and phase shiftis- Write MATLAB code for the following Assume that the time interval is. Generate each signal Plot the above three signals in the same figure window by using subplot' structure For each signal, add a title, X-label and y-label Limit-axis to be between 0 and 7, and y-axis to be between-2 and for all signals. 2. Explain with your own words the following questions: 1. What is convolution? II. Demonstrate the process of Convolution with words and give an example III. Explain the difference of convolution in time domain and frequency domain 1. One period of a signal is given by the following equation: Hint: Use the heaviside function in MATLAB to define for each time interval Compute and plot for two periods the approximations of using 1. Complex Exponential Fourier Series computing 7 and 15 terms 2. Trigonometric Fourier Series computing II and 17 terms Note: You should get two figures at the end where each figure has three subfigures as shown below Original function () Approximated (t) using x terms Approximated (0) using x terms Write with your own words the difference between the function stem and function impulse in MATLAB

Answer 1

1)

%matlab

t=0:1e-4:0.08;
x1=3.*cos(2*pi.*50.*t-pi/2);
x2=4.*cos(40.*pi.*t+pi/3);
x3=6.*cos(2*pi.*(t./0.05)-pi);
subplot(311);
plot(t,x1);
xlabel('t');
ylabel('x_1(t)');
title('Sinusoid :1');
subplot(312);
plot(t,x2);
xlabel('t');
ylabel('x_2(t)');
title('Sinusoid :2');
subplot(313);
plot(t,x3);
xlabel('t');
ylabel('x_3(t)');
title('Sinusoid :3');
---------------------------------

Sinusoid:1 *1() -4 0 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 Sinusoid:2 4 2 O -2 1 -4 0 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 t Sinusoid :3 10 5 -5 1 -10 0 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 t