Lowpass filters realizable as coupled allpasses

Design via a new flat delay filter

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

This paper describes a new class of maximally flat lowpass recursive digital filters. The filters are realizable as a parallel sum of two allpass filters, a structure for which low-complexity low-noise implementations exist. Note that, with the classical Butterworth filter of degree N, which can be retrieved as a special case, it is not possible to adjust the delay (or phase-linearity). However, with the more, general class of filters described in this paper, the adjustment of the delay becomes possible, and the trade-off between the delay and the phase-linearity can be chosen. The construction of these lowpass filters depends upon a new maximally flat delay allpole filter, for which the degrees of flatness at ω=0 and ω=π are not necessarily equal. For the coefficients of this flat delay filter, an explicit solution is introduced, which also specializes to a previously known result.

Original languageEnglish (US)
Title of host publication1998 IEEE Symposium on Advances in Digital Filtering and Signal Processing, DFSP 1998
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages135-138
Number of pages4
ISBN (Print)0780349571, 9780780349575
DOIs
StatePublished - Jan 1 1998
Event1998 IEEE Symposium on Advances in Digital Filtering and Signal Processing, DFSP 1998 - Victoria, Canada
Duration: Jun 5 1998Jun 6 1998

Other

Other1998 IEEE Symposium on Advances in Digital Filtering and Signal Processing, DFSP 1998
CountryCanada
CityVictoria
Period6/5/986/6/98

Fingerprint

Butterworth filters
Digital filters

ASJC Scopus subject areas

  • Hardware and Architecture
  • Signal Processing

Cite this

Selesnick, I. (1998). Lowpass filters realizable as coupled allpasses: Design via a new flat delay filter. In 1998 IEEE Symposium on Advances in Digital Filtering and Signal Processing, DFSP 1998 (pp. 135-138). [685711] Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/ADFSP.1998.685711

Lowpass filters realizable as coupled allpasses : Design via a new flat delay filter. / Selesnick, Ivan.

1998 IEEE Symposium on Advances in Digital Filtering and Signal Processing, DFSP 1998. Institute of Electrical and Electronics Engineers Inc., 1998. p. 135-138 685711.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Selesnick, I 1998, Lowpass filters realizable as coupled allpasses: Design via a new flat delay filter. in 1998 IEEE Symposium on Advances in Digital Filtering and Signal Processing, DFSP 1998., 685711, Institute of Electrical and Electronics Engineers Inc., pp. 135-138, 1998 IEEE Symposium on Advances in Digital Filtering and Signal Processing, DFSP 1998, Victoria, Canada, 6/5/98. https://doi.org/10.1109/ADFSP.1998.685711
Selesnick I. Lowpass filters realizable as coupled allpasses: Design via a new flat delay filter. In 1998 IEEE Symposium on Advances in Digital Filtering and Signal Processing, DFSP 1998. Institute of Electrical and Electronics Engineers Inc. 1998. p. 135-138. 685711 https://doi.org/10.1109/ADFSP.1998.685711
Selesnick, Ivan. / Lowpass filters realizable as coupled allpasses : Design via a new flat delay filter. 1998 IEEE Symposium on Advances in Digital Filtering and Signal Processing, DFSP 1998. Institute of Electrical and Electronics Engineers Inc., 1998. pp. 135-138
@inproceedings{a68939c17bd8474593e9f134e59cb195,
title = "Lowpass filters realizable as coupled allpasses: Design via a new flat delay filter",
abstract = "This paper describes a new class of maximally flat lowpass recursive digital filters. The filters are realizable as a parallel sum of two allpass filters, a structure for which low-complexity low-noise implementations exist. Note that, with the classical Butterworth filter of degree N, which can be retrieved as a special case, it is not possible to adjust the delay (or phase-linearity). However, with the more, general class of filters described in this paper, the adjustment of the delay becomes possible, and the trade-off between the delay and the phase-linearity can be chosen. The construction of these lowpass filters depends upon a new maximally flat delay allpole filter, for which the degrees of flatness at ω=0 and ω=π are not necessarily equal. For the coefficients of this flat delay filter, an explicit solution is introduced, which also specializes to a previously known result.",
author = "Ivan Selesnick",
year = "1998",
month = "1",
day = "1",
doi = "10.1109/ADFSP.1998.685711",
language = "English (US)",
isbn = "0780349571",
pages = "135--138",
booktitle = "1998 IEEE Symposium on Advances in Digital Filtering and Signal Processing, DFSP 1998",
publisher = "Institute of Electrical and Electronics Engineers Inc.",

}

TY - GEN

T1 - Lowpass filters realizable as coupled allpasses

T2 - Design via a new flat delay filter

AU - Selesnick, Ivan

PY - 1998/1/1

Y1 - 1998/1/1

N2 - This paper describes a new class of maximally flat lowpass recursive digital filters. The filters are realizable as a parallel sum of two allpass filters, a structure for which low-complexity low-noise implementations exist. Note that, with the classical Butterworth filter of degree N, which can be retrieved as a special case, it is not possible to adjust the delay (or phase-linearity). However, with the more, general class of filters described in this paper, the adjustment of the delay becomes possible, and the trade-off between the delay and the phase-linearity can be chosen. The construction of these lowpass filters depends upon a new maximally flat delay allpole filter, for which the degrees of flatness at ω=0 and ω=π are not necessarily equal. For the coefficients of this flat delay filter, an explicit solution is introduced, which also specializes to a previously known result.

AB - This paper describes a new class of maximally flat lowpass recursive digital filters. The filters are realizable as a parallel sum of two allpass filters, a structure for which low-complexity low-noise implementations exist. Note that, with the classical Butterworth filter of degree N, which can be retrieved as a special case, it is not possible to adjust the delay (or phase-linearity). However, with the more, general class of filters described in this paper, the adjustment of the delay becomes possible, and the trade-off between the delay and the phase-linearity can be chosen. The construction of these lowpass filters depends upon a new maximally flat delay allpole filter, for which the degrees of flatness at ω=0 and ω=π are not necessarily equal. For the coefficients of this flat delay filter, an explicit solution is introduced, which also specializes to a previously known result.

UR - http://www.scopus.com/inward/record.url?scp=30444453501&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=30444453501&partnerID=8YFLogxK

U2 - 10.1109/ADFSP.1998.685711

DO - 10.1109/ADFSP.1998.685711

M3 - Conference contribution

SN - 0780349571

SN - 9780780349575

SP - 135

EP - 138

BT - 1998 IEEE Symposium on Advances in Digital Filtering and Signal Processing, DFSP 1998

PB - Institute of Electrical and Electronics Engineers Inc.

ER -