REPRESENTATION OF BASIC SIGNALS USING MATLAB

Sinusoidal Signal, Unit Impulse, Unit Step, Ramp, Sawtooth Wave Forms

Generate Sinusoidal signal

clear all;

close all;

clc;

N = input('Enter the number of cycles ...:: '); t = 0:0.05:N;

x = sin(2*pi*t);

subplot(1,2,1);

plot(t,x);

xlabel('---------> Time');

ylabel('---------> Amplitude');

title('Sinusoidal');

subplot(1,2,2);

stem(t,x);

xlabel('---------> Time');

ylabel('---------> Amplitude');

title('Sinusoidal');

OUTPUT

Enter the number of cycles ...:: 2

Generate Unit Impulse function

clear all;

close all;

clc;

x = ones(1,1);

y = zeros(1,2);

z = [y, x, y];

stem(z);

xlabel('---------> Time');

ylabel('---------> Amplitude');

title('Unit Impulse');

OUTPUT

Generate Unit Step function

clear all;

close all;

clc;

x = ones(100);

subplot(2,1,1);

plot(x);

xlabel('---------> Time');

ylabel('---------> Amplitude');

title('Step signal');

subplot(2,1,2);

stem(x);

xlabel('---------> Time');

ylabel('---------> Amplitude');

title('Step signal');

OUTPUT

Generate Ramp function

clear all; close all; clc;

t = 0:25;

y = t;

subplot(1,2,1);

plot(t,y);

xlabel('---------> Time');

ylabel('---------> Amplitude');

title('Ramp function');

subplot(1,2,2);

stem(t,y);

xlabel('---------> Time');

ylabel('---------> Amplitude');

title('Ramp function');

OUTPUT

Generate Sawtooth Waveform

clear all; close all; clc;

N = input('Enter the number of cycles ...:: ');

t1 = 0:25;

t = [];

for i = 1:N,

t = [t,t1];

end;

subplot(2,1,1);

plot(t);

xlabel('---------> Time');

ylabel('---------> Amplitude');

title('Sawtooth waveform');

subplot(2,1,2);

stem(t);

xlabel('---------> Time');

ylabel('---------> Amplitude');

title('Sawtooth waveform');

OUTPUT

Enter the number of cycles ...:: 3

% sine wave t=0:0.01:1; a=2; b=a*sin(2*pi*2*t); subplot(3,3,1); stem(t,b); xlabel('time'); ylabel('Amplitude'); title ('sinewave');	% Cosine wave t=0:0.01:1; a=2; b=a*cos(2*pi*2*t); subplot(3,3,2); stem(t,b); xlabel('time'); ylabel('Amplitude'); title ('Cos wave');	% Square wave t=0:0.01:1; a=2; b=a*square(2*pi*2*t); subplot(3,3,3); stem(t,b); xlabel('time'); ylabel('Amplitude'); title ('square wave');
% Exponential waveform t=0:0.01:1; a=2; b=a*exp(2*pi*2*t); subplot(3,3,4); stem(t,b); xlabel('time'); ylabel('Amplitude'); title ('exponential wave');	% Sawtooth t=0:0.01:1; a=2; b=a*sawtooth(2*pi*2*t); subplot(3,3,5); stem(t,b); xlabel('time'); ylabel('Amplitude'); title ('sawtooth wave');	% Unit Step Signal n=-5:5; a = [zeros(1,5),ones(1,6)]; subplot(3,3,6); stem(n,a); Xlabel ('time'); Ylabel ('amplitude'); title('Unit step');
% Unit Impulse n=-5:5; a = [zeros(1,5),ones(1,1),zeros(1,5)]; subplot(3,3,7); stem(n,a); Xlabel ('time'); Ylabel ('amplitude'); title('Unit impulse');