Sum of Sinusoidal Signals Matlab code

AIM:

To verify Sum of Sinusoidal Signals using MATLAB

EQUIPMENTS:

Operating System         – Windows XP

Constructor                  - Simulator

Software                      - CCStudio 3 & MATLAB 7.5

THEORY:

To generate fourier series of a signal by observing sum of sinusoidal signals & observing gibbs phenomenon effect.

PROGRAM:

% sum of sinusoidal signals

clc;

clear all;

close all;

tic;

%giving linear spaces

t=0:.01:pi;

% t=linspace(0,pi,20);

%generation of sine signals

y1=sin(t);

y2=sin(3*t)/3;

y3=sin(5*t)/5;

y4=sin(7*t)/7;

y5=sin(9*t)/9;

y = sin(t) + sin(3*t)/3 + sin(5*t)/5 + sin(7*t)/7 + sin(9*t)/9;

plot(t,y,t,y1,t,y2,t,y3,t,y4,t,y5);

legend('y','y1','y2','y3','y4','y5');

title('generation of sum of sinusoidal signals');grid;

ylabel('---> Amplitude');

xlabel('---> t');

toc;






RESULT: