How can I do a summation of a signal.

Question

Vijender 2013-10-11

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https://ww2.mathworks.cn/matlabcentral/answers/89876-how-can-i-do-a-summation-of-a-signal

回答： David Sanchez 2013-10-11

 if i have a signal y = Acos(wt) and now i want to vary my amplituded and angular frequency. like that-  ∑A(i)cos(w(i)t) where i varies from any 1 to 100.
I write the code like this
t = 0:0.01:1;
A(1:length(t)) = 0;
w(1:length(t)) = 0;

for i = 1:length(t) y= A*cos(w*t) end But i get an error... please help

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ES 2013-10-11

What is the errot you get?

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Answer 1

David Sanchez 2013-10-11

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https://ww2.mathworks.cn/matlabcentral/answers/89876-how-can-i-do-a-summation-of-a-signal#answer_99303

在 MATLAB Online 中打开

The way of performing a summation is this:

t = 0:0.01:1;
A(1:length(t)) = 0;
w(1:length(t)) = 0;
y = 0;
for i = 1:length(t) 
  y = y + A(i)*cos(w(i)*t(i)) 
end

But you first have to define properly the values of A and w. As it is now, they both equal zero.

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Answer 2

ES 2013-10-11

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https://ww2.mathworks.cn/matlabcentral/answers/89876-how-can-i-do-a-summation-of-a-signal#answer_99302

在 MATLAB Online 中打开

this should do

y= A(i)*cos(w(i)*t)

instead of

y= A*cos(w*t)

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Vijender 2013-10-11

I tried this also but i think my concept is wrong. Actually i want to sum my periodic signal with varying amplitude and frequency but in this code i defined the W and A with zero matrix so my Y is always zero. so what i can do for this.

Vijender 2013-10-11

I have done this...the code should be like this t = 0:0.01:1; A(1:length(t)) = 1:101; w(1:length(t)) = 1:101; %k(1:length(t)) = 0; for i = 1:length(t) y = A(i)*cos(w(i)*t) end

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