Maximally flat low-pass FIR filters with reduced delay

Ivan Selesnick, C. Sidney Burrus

Research output: Contribution to journalArticle

Abstract

This paper describes a new class of nonsynirnetric maximally flat low-pass linitc impulse response (FIR) filters. By subjecting the magnitude and group delay responses (individually) to differing numbers of flatness constraints, the new filters are obtained. It is found that these filters achieve a smaller delay than symmetric filters while maintaining relatively constant group delay around w -0, with no degradation of the frequency response magnitude. The design of these filters is initially investigated using Gröbner bases. An analytic design technique, applicable to a subset of the forgoing filters, is provided that does not depend on Gröbner basis computations.

Original languageEnglish (US)
Pages (from-to)53-68
Number of pages16
JournalIEEE Transactions on Circuits and Systems II: Analog and Digital Signal Processing
Volume45
Issue number1
DOIs
StatePublished - 1998

Fingerprint

Group delay
FIR filters
Low pass filters
Impulse response
Frequency response
Degradation

ASJC Scopus subject areas

  • Electrical and Electronic Engineering
  • Signal Processing

Cite this

Maximally flat low-pass FIR filters with reduced delay. / Selesnick, Ivan; Sidney Burrus, C.

In: IEEE Transactions on Circuits and Systems II: Analog and Digital Signal Processing, Vol. 45, No. 1, 1998, p. 53-68.

Research output: Contribution to journalArticle

@article{6c532ed9a0e041279619ca548ba337d4,
title = "Maximally flat low-pass FIR filters with reduced delay",
abstract = "This paper describes a new class of nonsynirnetric maximally flat low-pass linitc impulse response (FIR) filters. By subjecting the magnitude and group delay responses (individually) to differing numbers of flatness constraints, the new filters are obtained. It is found that these filters achieve a smaller delay than symmetric filters while maintaining relatively constant group delay around w -0, with no degradation of the frequency response magnitude. The design of these filters is initially investigated using Gr{\"o}bner bases. An analytic design technique, applicable to a subset of the forgoing filters, is provided that does not depend on Gr{\"o}bner basis computations.",
author = "Ivan Selesnick and {Sidney Burrus}, C.",
year = "1998",
doi = "10.1109/82.659456",
language = "English (US)",
volume = "45",
pages = "53--68",
journal = "IEEE Transactions on Circuits and Systems II: Analog and Digital Signal Processing",
issn = "1057-7130",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
number = "1",

}

TY - JOUR

T1 - Maximally flat low-pass FIR filters with reduced delay

AU - Selesnick, Ivan

AU - Sidney Burrus, C.

PY - 1998

Y1 - 1998

N2 - This paper describes a new class of nonsynirnetric maximally flat low-pass linitc impulse response (FIR) filters. By subjecting the magnitude and group delay responses (individually) to differing numbers of flatness constraints, the new filters are obtained. It is found that these filters achieve a smaller delay than symmetric filters while maintaining relatively constant group delay around w -0, with no degradation of the frequency response magnitude. The design of these filters is initially investigated using Gröbner bases. An analytic design technique, applicable to a subset of the forgoing filters, is provided that does not depend on Gröbner basis computations.

AB - This paper describes a new class of nonsynirnetric maximally flat low-pass linitc impulse response (FIR) filters. By subjecting the magnitude and group delay responses (individually) to differing numbers of flatness constraints, the new filters are obtained. It is found that these filters achieve a smaller delay than symmetric filters while maintaining relatively constant group delay around w -0, with no degradation of the frequency response magnitude. The design of these filters is initially investigated using Gröbner bases. An analytic design technique, applicable to a subset of the forgoing filters, is provided that does not depend on Gröbner basis computations.

UR - http://www.scopus.com/inward/record.url?scp=0031703635&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0031703635&partnerID=8YFLogxK

U2 - 10.1109/82.659456

DO - 10.1109/82.659456

M3 - Article

VL - 45

SP - 53

EP - 68

JO - IEEE Transactions on Circuits and Systems II: Analog and Digital Signal Processing

JF - IEEE Transactions on Circuits and Systems II: Analog and Digital Signal Processing

SN - 1057-7130

IS - 1

ER -