orthonormal functions

orthonormal functions

[¦ȯr·thə¦nȯr·məl ′fəŋk·shənz]
(mathematics)
Orthogonal functions ƒ1, ƒ2, … with the additional property that the inner product of ƒn (x) with itself is 1.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
References in periodicals archive ?
Fundamental orthonormal functions and terms from the radial load (Fig.
These have the advantages that: a) they form complete sets of orthonormal functions which satisfy the boundary conditions (the fields are finite at the waveguide axis and decay to zero at an infinite lateral distance from the axis), b) they represent the solutions of a problem with a similar geometry: Bessel functions are the eigensolutions of the scalar wave equations for step-index circular core fibers while Laguerre-Gauss and Hermite-Gauss polynomials are the eigenmodes of an infinitely extended parabolic refractive index profile in circular and rectangular waveguide geometries respectively (see Figure 1(a)).
Saanchez Pearez, Vector measure orthonormal functions and best approximation for the 4-norm.
This objective is achieved with the decomposition of the far field ESPAR pattern to orthonormal functions, called basis patterns.