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   -> Volume 7, Issue 8

Question: Fourier series like calculation
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PostPosted: Wed Jul 29, 1998 10:20 am    
Subject: Question: Fourier series like calculation
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#19 Question: Fourier series like calculation

Dear Wavelet Team

I am a mathematician. I made the algorithm for numerical analysis
sums of functions:
f(x) =A1*cos(P1+F1*x)+A2*cos(P2+F2*x)+...+ An*cos(Pn+Fn*x). / 1 /
/not Fourier series ! / and test program for two components.
Program can calculate amplitude, phase and frequency for two
components. Sequence data can included a part of function , smaller
than cycles of each components. Minimal quantity of numbers requir
for depend on noise level and exactitude of numbers. Redundancy
in this method eliminates noise and digital-effect.
Algorithm can perform : Ak-amplitude,Pk -phase, Fk -frequency for any
components. Algorithm has mathematical base different than Fourier
Transformation , matching pursuit or estimation. From Princip
algorithm is dedicate only for sums / 1 /
Effect is reached by calculation middle value of constant which
definite sums of cosine (not amplitude, phase, frequency).

I would verify and compare this algorithm with similar algorithm or
program. Question and Problem : If algorithm is interest, perform
program for any (k) quantity components ?

Thanks in advance.

Aleksander Adam Krzemien
Zbicka 8/23
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