How to do a double fourier transform or double summation equation in Matlab?

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Hi Community,
Iam very confused to this equation, because it should be written in a double fourier transform which re very difficult for me.... SO here is the equation i should solve in my Thesis :
T is hour of the years (it can be replaced with a datenum, right?) and M is month number. I just want to know how this difficult equation should be written as a code in Matlab... Im very confused.... I think it would be written in a combination of symsum, syms, and etc, but i still doubt how to write it correctly in Matlab.... WOuld anyone lend me a hand for this equation, please... Thank you so much, everyone... /.\ /.\ /.\
  2 Comments
Tyann Hardyn
Tyann Hardyn on 31 May 2022
@Hiro Im sorry, Sir. But the m actually not an exponent number just like An^m... In other ways, the equation is like this :
Iam just wonder, Is the equation use for loop or not, Sir? Thank you very much

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Accepted Answer

Walter Roberson
Walter Roberson on 30 May 2022
T cannot be replaced by a datetime. datetime objects cannot be multiplied by anything.
At one level, T could potentially be replaced by a duration() object, as durations can be multiplied... but you cannot take cos() of a duration.
syms T M
syms A [6 6]
syms alpha [1 6]
syms beta [1 6]
n = (1:6).';
m = 1:6;
Sq_est = sum(sum(A .* cos(m .* T + alpha) .* cos(n .* M + beta)))
Sq_est = 
  8 Comments
Tyann Hardyn
Tyann Hardyn on 31 May 2022
Edited: Tyann Hardyn on 31 May 2022
@Walter Roberson Would u like to tell me the version of loop code from your code before, Sir?

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