Representation of signals as series of orthogonal functions
Instrumentation and Methods for Astrophysics
2018-11-20 v1
Abstract
This paper gives an introduction to the theory of orthogonal projection of functions or signals. Several kinds of decomposition are explored: Fourier, Fourier-Legendre, Fourier-Bessel series for 1D signals, and Spherical Harmonic series for 2D signals. We show how physical conditions and/or geometry can guide the choice of the base of functions for the decomposition. The paper is illustrated with several numerical examples.
Keywords
Cite
@article{arxiv.1811.07305,
title = {Representation of signals as series of orthogonal functions},
author = {Eric Aristidi},
journal= {arXiv preprint arXiv:1811.07305},
year = {2018}
}