orthogonal basis

[ȯr′thäg·ən·əl ′bā·səs]

(mathematics)

A basis for an inner product space consisting of mutually orthogonal vectors.

Mentioned in ?

quantum mechanics

References in periodicals archive ?

18-21] have developed the orthogonal polynomial method to approximate the dynamics response of linear random structure by a series of orthogonal basis functions.

Hopf Bifurcation of Compound Stochastic van der Pol System

Orthogonal basis function composed of wavelets reduces the interference that was found in FFT-OFDM system due to its sine-cosine basis function [21].

CODED WAVELET OFDM BASED COMMUNICATION SYSTEM FOR RAYLEIGH FADING CHANNEL

X] becomes too badly conditioned we compute a new orthogonal basis.

Approximating optimal point configurations for multivariate polynomial interpolation

We manifest the discrete Fourier transform (DFT) matrix to get the orthogonal basis of precoding vectors in space domain.

Space-polarization division multiple access system with limited feedback

using the orthogonal basis V, whereas the electric fields at the ports [P.

Multilevel model order reduction with generalized compression of boundaries for 3-D FEM electromagnetic analysis

x](M) form an orthogonal basis {X([alpha](t)); Y ([alpha](t))g of a tangent space at each point [alpha](t) of M.

Timelike parallel [p.sub.i]-equidistant ruled surfaces with a spacelike base curve in the Minkowski 3-space [R.sup.1.sub.3]

By applying the more complicated and orthogonal basis functions as the hidden layer's activation functions, the OHPBNN is expected to attain more accurate approximation performance, but with less number of hidden neurons, than the classic neuron network with identical sigmoid functions as activation functions.

Behavioral modeling of RF power amplifiers with memory effects using orthonormal Hermite polynomial basis neural network

Wahlberg, Modelling and Identification with Rational Orthogonal Basis Functions, Springer-Verlag, London, 2005.

Modelling of cascade-connected systems using quasi-orthogonal functions

N-1 representing the signal can be used on orthogonal basis to achieve the multi carrier modulation (MCM) scheme that can be synthesized using a discrete cosine transform (DCT) [23].

High performance OFDM systems for digital video broadcasting-terrestrial (DVB-T)

A key result of the paper is that with significantly reduced antenna dimensions a reasonable number of orthogonal basis patterns can be produced, able to support uncorrelated transmit signals at the beamspace domain.

Aerial degrees of freedom of parasitic arrays for single RF front-end MIMO transceivers

In consequence, the elements of the orthogonal basis [([e.

On the eigenvalues of the laplacian

can be represented in terms of this orthogonal basis as

Unsupervised feature extraction for time series clustering using orthogonal wavelet transform