Discrete prolate spheroidal wave functions and interpolation.

Ph. Delsarte; A.J.E.M. Janssen; L.B. Vries

doi:10.1137/0145037

Discrete prolate spheroidal wave functions and interpolation.

Ph. Delsarte, A.J.E.M. Janssen, L.B. Vries

Control Systems

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Abstract

The authors describe an algorithm for the interpolation of burst errors in discrete-time signals that can be modeled as being band-limited. The algorithm correctly restores a mutilated signal that is indeed band-limited. The behavior of the algorithm when applied to signals containing noise or out-of-band components can be analyzed satisfactorily with the aid of asymptotic properties of the discrete prolate spheroidal sequences and wave functions. The effect of windowing can also be described conveniently in terms of these sequences and functions.

Original language	English
Pages (from-to)	641-650
Number of pages	10
Journal	SIAM Journal on Applied Mathematics
Volume	45
Issue number	4
DOIs	https://doi.org/10.1137/0145037
Publication status	Published - 1985

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title = "Discrete prolate spheroidal wave functions and interpolation.",

abstract = "The authors describe an algorithm for the interpolation of burst errors in discrete-time signals that can be modeled as being band-limited. The algorithm correctly restores a mutilated signal that is indeed band-limited. The behavior of the algorithm when applied to signals containing noise or out-of-band components can be analyzed satisfactorily with the aid of asymptotic properties of the discrete prolate spheroidal sequences and wave functions. The effect of windowing can also be described conveniently in terms of these sequences and functions.",

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T1 - Discrete prolate spheroidal wave functions and interpolation.

AU - Delsarte, Ph.

AU - Janssen, A.J.E.M.

AU - Vries, L.B.

PY - 1985

Y1 - 1985

N2 - The authors describe an algorithm for the interpolation of burst errors in discrete-time signals that can be modeled as being band-limited. The algorithm correctly restores a mutilated signal that is indeed band-limited. The behavior of the algorithm when applied to signals containing noise or out-of-band components can be analyzed satisfactorily with the aid of asymptotic properties of the discrete prolate spheroidal sequences and wave functions. The effect of windowing can also be described conveniently in terms of these sequences and functions.

AB - The authors describe an algorithm for the interpolation of burst errors in discrete-time signals that can be modeled as being band-limited. The algorithm correctly restores a mutilated signal that is indeed band-limited. The behavior of the algorithm when applied to signals containing noise or out-of-band components can be analyzed satisfactorily with the aid of asymptotic properties of the discrete prolate spheroidal sequences and wave functions. The effect of windowing can also be described conveniently in terms of these sequences and functions.

U2 - 10.1137/0145037

DO - 10.1137/0145037

M3 - Article

SN - 0036-1399

VL - 45

SP - 641

EP - 650

JO - SIAM Journal on Applied Mathematics

JF - SIAM Journal on Applied Mathematics

IS - 4

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Discrete prolate spheroidal wave functions and interpolation.

Abstract

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