DFT, 2 Sinusoids with Nonlinear Products.

Cuthbert Nyack
Here the spectral changes which occur when the sum of 2 sines is raised to the power n.

eg parameters:-

(3.0, 4.0, 2.0, 8.15, 50, 0, 30, 375, 15.0, 0.8) show for n = 2, there are 5 spectral lines at 0, 2w1, 2w2, w2 - w1, w2 + w1.

Changing Typ to 1 shows the spectrum for n = 3.
8 lines occur at
w1, w2, 3w1, 3w2, 2w1 ± w2, 2w2 ± w1.

Changing Typ to 2 shows the spectrum for n = 4.
13 lines occur at
0, w2 ± w1, 2(w2 ± w1), 2w1, 2w2, 4w1, 4w2, 3w1 ± w2, 3w2 ± w1.

Changing Typ to 3 shows the spectrum for n = 5.
18 lines occur at
w1, w2, 3w1, 3w2, 5w1, 5w2, 2w1 ± w2, 2w2 ± w1. 3w1 ± 2w2, 3w2 ± 2w1. 4w1 ± w2, 4w2 ± w1.



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COPYRIGHT 2007 Cuthbert Nyack.