Fourier Description of a Distorted Circle

*To*: mathgroup at smc.vnet.net*Subject*: [mg32322] Fourier Description of a Distorted Circle*From*: Moranresearch at aol.com*Date*: Tue, 15 Jan 2002 02:29:58 -0500 (EST)*Sender*: owner-wri-mathgroup at wolfram.com

I have a data set of 360 point in polar coordinates (which when ploted give a distorted circle).I wish to describe this as a table of values based on the function shown below: (I don't know how to get the summation sign into an email.) In words f is a function of phi = Sum from n =0 to N of (c subscript n * cos n * (phi + alpha subscript n)). a,b,c are the fourier coefficients,alpha is the phase shift angle; N is the total number of elements sampled per function;n is the frequency of the harmonic component of the series, phi is the hemimeridian angle. Thank you. John