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- Title
REPRESENTATION OF SIGNALS AS SERIES OF ORTHOGONAL FUNCTIONS.
- Authors
Aristidi, E.
- 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.
- Subjects
ORTHOGONAL functions; ORTHOGRAPHIC projection; SIGNAL processing; ASTRONOMICAL mathematics; MATHEMATICAL decomposition; SPHERICAL harmonics
- Publication
EAS Publications Series, 2016, Vol 78/79, p99
- ISSN
1633-4760
- Publication type
Article
- DOI
10.1051/eas/1678006