Frequency analysis of quasiperiodic Functions
- To: mathgroup at smc.vnet.net
- Subject: [mg27076] Frequency analysis of quasiperiodic Functions
- From: "Dieter Eichrodt" <eichrodt at eircom.net>
- Date: Sat, 3 Feb 2001 04:59:11 -0500 (EST)
- Sender: owner-wri-mathgroup at wolfram.com
Given is a function of time as a table of n datapoints which is to be
interpolated by a trigonometric series :
y[t]=a0+Sum[a[[i]]*Cos[2 Pi*f[[i]]*t/n],{i,k}]+Sum[b[[i]]*Sin[2
Pi*f[[i]]*t/n],{i,k}];
--with k=2 n/3-1 in order to have the same number of output data as input
data.
How can the {a}, {b}, {f} for a best fit be calculated using Mathematica ?
Note that the frequencies {f} are not integer multiples of some basic
frequency, in which case a simple Fourier series would fitt.
Dieter Eichrodt eichrodt at eircom.net