how to make this summation

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mohamed enan
mohamed enan on 18 Dec 2016
Edited: John Kelly on 10 Nov 2017
  4 Comments
John BG
John BG on 19 Dec 2016
Mohamed are you calculating DTFT coefficients?
the[-3:1:3] window is shifting isn't it?
can you supply the whole chain of ak coefficients?
John BG
John BG on 19 Dec 2016
Dear Mr D'Errico
YES
in MATLAB the index to matrices cannot be 0 or negative, .
BUT .
NO,
you can build an index vector to make the k shift along any desired values, so ONE can use negative indices, not directly, but just check what the Image Analyst wrote below.

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Answers (1)

Image Analyst
Image Analyst on 18 Dec 2016
Perhaps this:
j = sqrt(-1)
a = rand(1,7); % Whatever...
omega = 2 % Whatever....
t = 42; % Whatever t value you want to evaluate x at.
k = -3 : 3;
x = sum(a .* exp(j .* k .* omega * t))
  2 Comments
Jan
Jan on 18 Dec 2016
I think 1j is nicer than redefining j=sqrt(-1).
Image Analyst
Image Analyst on 19 Dec 2016
You're right. That's a nice shortcut (if one remembers it).

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