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.