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> Volume 7, Issue 8
Question: Fourier series like calculation

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krzem@kki.net.pl Guest

Posted: Wed Jul 29, 1998 10:20 am Subject: Question: Fourier series like calculation




#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 digitaleffect.
Algorithm can perform : Akamplitude,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
32065 KRZESZOWICE
POLAND
(012)2820613
krzem@kki.net.pl 





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