View License

Download apps, toolboxes, and other File Exchange content using Add-On Explorer in MATLAB.

» Watch video

Highlights from
Bessel Polynomial Linearization Coefficients

3.0 | 1 rating Rate this file 4 Downloads (last 30 days) File Size: 16.6 KB File ID: #42194 Version: 1.0
image thumbnail

Bessel Polynomial Linearization Coefficients



Linearization coefficients for Bessel polynomials, and certain rational polynomial spectra.

| Watch this File

File Information

Three simple functions generate linearization coefficients for Bessel polynomials. Three additional functions apply Bessel polynomial expansions to calculate rational polynomial spectra of certain correlation functions.

Applications center on the modified Bessel correlation function. Its Fourier transform is a simple rational polynomial spectrum that the physicist or engineer will immediately associate with cascade single-pole filters.

Expansions in Bessel polynomials facilitate analysis and numerical evaluation of more complicated product forms of these correlation functions. What was a Fourier transform to a hypergeometric function, instead expands into a sum of elementary rational polynomial spectra weighted by linearization coefficients. Best of all, this can be done in an efficient and numerically stable way!

These results are applied to calculate the spectrum of the correlation function of a Gamma-Gamma fading process describing laser beam propagation through turbulent media.

Required Products MATLAB
MATLAB release MATLAB 8.1 (R2013a)
Tags for This File   Please login to tag files.
Please login to add a comment or rating.
Comments and Ratings (1)
07 Dec 2013 Parvesh

Contact us