The Discrete Prolate Spheroidal Filter as a Digital Signal Processing Tool

John David Mathews, James Kenneth Breakall, Georg K. Karawas

Research output: Contribution to journalArticle

21 Citations (Scopus)

Abstract

The discrete prolate spheroidal (DPS) filter is one of the class of nonrecursive finite impulse response (FIR) filters. The DPS filter, first introduced by Tufts and Francis [1], is superior to other filters in this class in that it has maximum energy concentration in the frequency passband and minimum ringing in the time domain. Slepian [2] gives a complete discussion of DPS function properties. We give a mathematical development of the DPS filter properties, provide information required to easily and accurately construct even many coefficient filters, and compare the properties of this filter with those of the more commonly used filters of the same class. We note that use of the DPS filter allows for particularly useful statements of data time/frequency resolution “cell” values and that overall it forms an especially useful, though little known tool for digital signal processing.

Original languageEnglish (US)
Pages (from-to)1471-1478
Number of pages8
JournalIEEE Transactions on Acoustics, Speech, and Signal Processing
Volume33
Issue number6
DOIs
StatePublished - Jan 1 1985

Fingerprint

FIR filters
Digital signal processing

All Science Journal Classification (ASJC) codes

  • Signal Processing

Cite this

@article{6d2df6ce0eb540b8825e031df23c5443,
title = "The Discrete Prolate Spheroidal Filter as a Digital Signal Processing Tool",
abstract = "The discrete prolate spheroidal (DPS) filter is one of the class of nonrecursive finite impulse response (FIR) filters. The DPS filter, first introduced by Tufts and Francis [1], is superior to other filters in this class in that it has maximum energy concentration in the frequency passband and minimum ringing in the time domain. Slepian [2] gives a complete discussion of DPS function properties. We give a mathematical development of the DPS filter properties, provide information required to easily and accurately construct even many coefficient filters, and compare the properties of this filter with those of the more commonly used filters of the same class. We note that use of the DPS filter allows for particularly useful statements of data time/frequency resolution “cell” values and that overall it forms an especially useful, though little known tool for digital signal processing.",
author = "Mathews, {John David} and Breakall, {James Kenneth} and Karawas, {Georg K.}",
year = "1985",
month = "1",
day = "1",
doi = "10.1109/TASSP.1985.1164732",
language = "English (US)",
volume = "33",
pages = "1471--1478",
journal = "IEEE Transactions on Signal Processing",
issn = "1053-587X",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
number = "6",

}

The Discrete Prolate Spheroidal Filter as a Digital Signal Processing Tool. / Mathews, John David; Breakall, James Kenneth; Karawas, Georg K.

In: IEEE Transactions on Acoustics, Speech, and Signal Processing, Vol. 33, No. 6, 01.01.1985, p. 1471-1478.

Research output: Contribution to journalArticle

TY - JOUR

T1 - The Discrete Prolate Spheroidal Filter as a Digital Signal Processing Tool

AU - Mathews, John David

AU - Breakall, James Kenneth

AU - Karawas, Georg K.

PY - 1985/1/1

Y1 - 1985/1/1

N2 - The discrete prolate spheroidal (DPS) filter is one of the class of nonrecursive finite impulse response (FIR) filters. The DPS filter, first introduced by Tufts and Francis [1], is superior to other filters in this class in that it has maximum energy concentration in the frequency passband and minimum ringing in the time domain. Slepian [2] gives a complete discussion of DPS function properties. We give a mathematical development of the DPS filter properties, provide information required to easily and accurately construct even many coefficient filters, and compare the properties of this filter with those of the more commonly used filters of the same class. We note that use of the DPS filter allows for particularly useful statements of data time/frequency resolution “cell” values and that overall it forms an especially useful, though little known tool for digital signal processing.

AB - The discrete prolate spheroidal (DPS) filter is one of the class of nonrecursive finite impulse response (FIR) filters. The DPS filter, first introduced by Tufts and Francis [1], is superior to other filters in this class in that it has maximum energy concentration in the frequency passband and minimum ringing in the time domain. Slepian [2] gives a complete discussion of DPS function properties. We give a mathematical development of the DPS filter properties, provide information required to easily and accurately construct even many coefficient filters, and compare the properties of this filter with those of the more commonly used filters of the same class. We note that use of the DPS filter allows for particularly useful statements of data time/frequency resolution “cell” values and that overall it forms an especially useful, though little known tool for digital signal processing.

UR - http://www.scopus.com/inward/record.url?scp=0022216475&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0022216475&partnerID=8YFLogxK

U2 - 10.1109/TASSP.1985.1164732

DO - 10.1109/TASSP.1985.1164732

M3 - Article

AN - SCOPUS:0022216475

VL - 33

SP - 1471

EP - 1478

JO - IEEE Transactions on Signal Processing

JF - IEEE Transactions on Signal Processing

SN - 1053-587X

IS - 6

ER -