Answer to Question #261651 in Electrical Engineering for Mafizur Alam

Question

1. Write MATLAB codes to find the EVEN and ODD parts of the signal x(t)=e^2t

2. Write MATLAB codes to find the energy and power of the signal x(t)= 10 sin(10 πt)

Answer 1

close all,
clear all,
clc,


%1. Write MATLAB codes to find the EVEN and ODD parts of the signal x(t)=e^2t
Fs=100;
t=0:(1/Fs):1;
Xt = exp(2*t);


scrsz = get(0,'ScreenSize');
Dim=0;
figure('Position',[scrsz(1)+Dim, scrsz(2)+Dim,scrsz(3)-20,scrsz(4)-100]);
subplot(3,1,1); plot(t,Xt); 
title('Original Signal');
xlabel('Time (s)');
ylabel('--- X(t) --->');
title('x(t) = e^{2t}','FontSize',20);
grid on,




Xf=fliplr(Xt);   
Xod=1/2*(Xt+Xf);
Xevn=1/2*(Xt-Xf);


subplot(3,1,2);  
plot(Xod); 
xlabel('Time (s)');
ylabel('--- X(t) --->');
title('Odd Part of x(t) = e^{2t}','FontSize',20);
grid on,


subplot(3,1,3);  
plot(Xevn); 
xlabel('Time (s)');
ylabel('--- X(t) --->');
title('Even Part of x(t) = e^{2t}','FontSize',20);
grid on,

close all,
clear all,
clc,

%2. Write MATLAB codes to find the energy and power of the signal x(t)= 10 sin(10 πt)


Fs=100;
t = 0:(1/Fs):1;
Xt = [];


Energy = 0;
Power = 0;
Xt = 10*sin(10*pi*t);
for r=1:length(t)
    Energy = Energy + Xt(r)*Xt(r);
end
scrsz = get(0,'ScreenSize');
Dim=0;
figure('Position',[scrsz(1)+Dim, scrsz(2)+Dim,scrsz(3)-20,scrsz(4)-100]);
plot(t,Xt);
xlabel('--- Time (t) ---');
ylabel('--- X(t) --->');
title('Xt = 10*sin(10*pi*t)','FontSize',20);
grid on,
Power = Energy/length(Xt);
fprintf('\n\tEnergy = %.3f',Energy);
fprintf('\n\tPower  = %.3f',Power);

Energy = 5000.000

Power = 49.505