Consider a scaled sine function, sin(2pix/2n)sin(2pix/2n), for some positive integer nn. For this, I have the following linear combination.
sum2n−2x=1cxsin(2pix/2n).sum2n−2x=1cxsin(2pix/2n).
(The upper limit to the sum is 2n−22n−2.)
The question is whether there exist cxin0,pm1,pm2cxin0,pm1,pm2, not all 00, that make the above expression 00, for infinitely many nn?
If it helps, the above came up in a computation concerning the discrete Fourier Transform.
No comments:
Post a Comment