how to simplify a summation of exponentials symbolicly/analytically?
From: networm (networm8848_at_yahoo.com)
Date: 08/17/04
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Date: Tue, 17 Aug 2004 00:34:48 -0700
Hi all,
I have a summation of exponentials:
SUM= 1+exp(-j*(a1*u+b1*v))+exp(-j*(a2*u+b2*v))+exp(-j*(a3*u+b3*v))
+ ...
+ exp(-j*(a1000000*u+b1000000*v))
where "j" is the imaginary sign. a1, a2, ... a1000000, b1, b2, ... b1000000
are known constants... u, v are frequency variable in 2D case.
Do you think it is possible to compute the close-form of the above SUM
symbolically/analytically?
If not, is there any simple/efficient way to compute it ? In Matlab and
Maple...
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