find the mean, energy and power of cosine function

i am just a matlab beginner.
x[n]=2cos(0.2*pi*n) with a length of N =100 , that is, ,0<N<99 plotted
clear all
n=[0:99];
x=2*cos(0.2*pi*n);
stem(n,x);
legend('x[n]');
title('Sequence of 2*cos(0.2*pi*n)');
xlabel('n');
ylabel('x[n]');
axis([0 99 -2 2]);
how to use MATLAB to compute the mean, and energy and power of x[n]given mean=x, energy=Ex and power=Px.

 Accepted Answer

You can just do:
mean(x)
Ex = norm(x,2)^2 % the energy
Px = 1/numel(x)*norm(x,2)^2 % power
If you don't want to use norm(), you just use sum()
Ex = sum(abs(x).^2)
Px = 1/numel(x)*sum(abs(x).^2)
Note that the RMS of the signal is
sqrt(Px)
The Signal Processing Toolbox implements this as rms()

3 Comments

thank you very much, it works well!!
pinak parida commented,
power ,energy of a signal how norm works to be check?
mean(x)
Ex = norm(x,2)^2 % the energy
Px = 1/numel(x)*norm(x,2)^2 % power
what is this 2 in norm function is for?

Sign in to comment.

More Answers (0)

Categories

Find more on Geology in Help Center and File Exchange

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!