A Linear Phase Condition for Volterra Filters

In linear finite-impulse-response filter design, it is desirable that the filter frequency response has linear phase (LP). In this brief, we investigate the LP concept for nonlinear Volterra filters. The LP condition of Volterra filters is defined in terms of its output spectrum in which the phase t...

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Veröffentlicht in:IEEE transactions on circuits and systems. II, Express briefs Express briefs, 2007-12, Vol.54 (12), p.1097-1101
Hauptverfasser: Binwei Weng, Barner, K.E.
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description In linear finite-impulse-response filter design, it is desirable that the filter frequency response has linear phase (LP). In this brief, we investigate the LP concept for nonlinear Volterra filters. The LP condition of Volterra filters is defined in terms of its output spectrum in which the phase term introduced by the Volterra kernels is linear. It is shown that under certain symmetry conditions, the LP condition is satisfied by Volterra filters. Moreover, the LP condition for Volterra filters can be considered as an extension to the linear filter case.
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subjects Circuits
Design engineering
Echo cancellers
Finite impulse response filter
Frequency response
Image processing
Kernel
Kernels
Linear filters
Linear phase
Linear phase (LP)
Nonlinear filters
Nonlinearity
Phase distortion
Polynomials
Solids
Speech processing
Symmetry
Volterra filter
title A Linear Phase Condition for Volterra Filters
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