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Polynomial spline-approximation of Clarke's model

Zakharov, Y V, Tozer, T C and Adlard, J F (2004) Polynomial spline-approximation of Clarke's model. IEEE Transactions on Signal Processing. pp. 1198-1208. ISSN 1053-587X

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We investigate polynomial spline approximation of stationary random processes on a uniform grid applied to Clarke's model of time variations of path amplitudes in multipath fading channels with Doppler scattering. The integral mean square error (MSE) for optimal and interpolation splines is presented as a series of spectral moments. The optimal splines outperform the interpolation splines; however, as the sampling factor increases, the optimal and interpolation splines of even order tend to provide the same accuracy. To build such splines, the process to be approximated needs to be known for all time, which is impractical. Local splines, on the other hand, may be used where the process is known only over a finite interval. We first consider local splines with quasioptimal spline coefficients. Then, we derive optimal spline coefficients and investigate the error for different sets of samples used for calculating the spline coefficients. In practice, approximation with a low processing delay is of interest; we investigate local spline extrapolation with a zero-processing delay. The results of our investigation show that local spline approximation is attractive for implementation from viewpoints of both low processing delay and small approximation error; the error can be very close to the minimum error provided by optimal splines. Thus, local splines can be effectively used for channel estimation in multipath fast fading channels.

Item Type: Article
Copyright, Publisher and Additional Information: Copyright © 2004 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE.
Keywords: multipath fading channel,random process,spectral moments,spline-approximation,SIGNAL,DESIGN
Institution: The University of York
Academic Units: The University of York > Electronics (York)
Depositing User: Sherpa Assistant
Date Deposited: 30 Sep 2005
Last Modified: 20 Jun 2016 01:11
Published Version: http://dx.doi.org/10.1109/TSP.2004.826159
Status: Published
Refereed: Yes
URI: http://eprints.whiterose.ac.uk/id/eprint/675

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