orthogonal basis

orthogonal basis

[ȯr′thäg·ən·əl ′bā·səs]
(mathematics)
A basis for an inner product space consisting of mutually orthogonal vectors.
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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.
Orthogonal basis function composed of wavelets reduces the interference that was found in FFT-OFDM system due to its sine-cosine basis function [21].
X] becomes too badly conditioned we compute a new orthogonal basis.
We manifest the discrete Fourier transform (DFT) matrix to get the orthogonal basis of precoding vectors in space domain.
x](M) form an orthogonal basis {X([alpha](t)); Y ([alpha](t))g of a tangent space at each point [alpha](t) of M.
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.
Wahlberg, Modelling and Identification with Rational Orthogonal Basis Functions, Springer-Verlag, London, 2005.
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].
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.
In consequence, the elements of the orthogonal basis [([e.

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