SS Lab Class No 08

%{
Signal System lab Class No - 08
Minhaj Rahat Sir
Date : 13 November,2019 , Wednesday
Time : 10.30 PM - 12.30 PM

%}

% Fourier Coefficient for function y(t)= e(-t)
%% Experiment 1
clc;
clear all;
close all;
syms t k % considering t and k as symbolic part
y = exp(-t);
T = 3;
w = 2*pi/T;
an = (1/T)*int(y*exp(-j*k*w*t),t,0,T);

k1 = -10:10;
ann = subs(an,k,k1);
stem(k1,abs(ann),'g');
xlabel('Plot of |x[k]|');
figure
stem(k1,angle(ann));
xlabel('Plot the angle of |x[k]|');
%% Experiment 2
xn = sum(ann.*exp(j*k1*w*t);
figure
ezplot(xn,[0 10]);
%% Experiment 3
% Fourier Representation
syms t
x = heaviside(t)-2*heaviside(t-1);
T =2;
w = 2*pi/T;
k = -10:10;
a = (1/T)*int(x*exp(-j*k*w*t),t,0,2);
sign = sum(a.*exp(j*k*w*t));
ezplot(sign,[0 10])