In Matlab do the following. In Matlab do the following. Task2: (1) Plot CT unit-

Question

In Matlab do the following.

In Matlab do the following. Task2: (1) Plot CT unit-step function u(t) from t = -5 to t = 5 seconds. syms x fplot (heaviside (x), [-2, 2]) (2) Generate and plot the DT unit-step u[n] from t = -5 to t = 5 seconds. (3) Plot x(t) = u(-t) and y[n] = u[-n]. (4) Plot the CT unit-ramp function r(t) from t = -5 to t = 5 seconds. (5) Plot the DT unit-ramp function r[n] from t = -5 to t = 5 seconds. (6) Plot x(t) = r(-t) and y[n] = r[-n]. (7) Plot a sin function with period T = 5, from t = -5 to t = 5 seconds. (8) Let x_1(t) = cos (pi*t/2) and x_2(t) = cos (pi*t/3). Plot x_1(t) + x_2(t) and find its fundamental period. (9) Plot CT rectangular function x(t) from t = -5 to t = 5 seconds. Now plot x(a*t) for values of a = [1/4, 1/2, 2, 4]. Use "hold on" to overlay all plots in one figure. Verify and explain the compression and expansion effects.

Explanation / Answer

(1) Program to plot continuous time unit step function.

syms x

fplot(heaviside(x), [-5, 5])

(2) Program to plot discrete time unit step function

(3)

Program to plot x(t)=u(-t)

Program to plot y[n] = u(-n)

% the length of sequence %

n = 10;

t = 0:1:-n+1;

y = ones(1,-n);

plot(t,y);

stem(t,y);

end

(4) Program to plot ct unit ramp function

n=10 %Enter the length of ramp

s=0.5 %Enter the slop of the ramp

t=-5:0.4:5;

plot(t,s*t);

(5) Discrete time unit Ramp Function

N=10 (' no of samples: ');

a=input (' Max Amplitude: ');

n=-5:1:5;

x=a*n/N;

stem(n,x);

(7) program to plot sine function

t = 0:10e-6:4; %time taken 0 to 4 sec in steps 10micro sec

f=0.2; %frequency =1/T

w=2*pi*f;

A=220

v_out = A*sine(w*t);

plot(t,v_out)

(8)program for cos(pi*t/2)+cos(pi*t/3)

t = 0:10e-6:4;   

w1=pi/2

w2=pi/3

y= cos(w1*t)+cos(w2*t);

plot(t,y)

(9) program to plot rectangular function

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