Vector Generation Through Loop

Hello everyone.

So I'm a beginner and I am trying to generate a smooth signal w from an original signal r

a is a constant

w(k+j) = a*w(k+j-1)+(1-a)*r(k+j) for j = 1 , 2 , ... , N

How can implement this signal and store the value of every iteration to form a vector w

Thanks in advance!

Answer 1

[Sriram Tadavarty]

Hi Saleh,

This can be done through for loop. The documentation link to for loop is https://www.mathworks.com/help/matlab/ref/for.html. Please go through this to have easy going.

The code for what is asked is: (There is no intimation of k in the condition)

% Consider a random signal of length N 
N = 100;
r = rand(N,1);

% Smoothing factor a
a = 10;

% Write the loop
tmp = 0;
w = zeros(N,1);
for j = 1:N
    w(j) = a*tmp+ (1-a)*r(j);
    tmp = w(j);
end

% The output is provided in w
w

Hope this helps.

Regards,

Sriram

[Saleh Msaddi]

Suppose I have a step function starting from t=0 and having a value of 1

I don't want to have the sharp step function because this is generating a huge control effort; instead I'm trying to generate a smoother signal of the step function.

[Sriram Tadavarty]

You can generate ones(N,1) and have N to be large.. It is equivalent to step function

[Saleh Msaddi]

alright then!

thank you :)