A General Structure of Type-III FIR Filters with Derivative Constraints

Bo You Yu; Peng Hua Wang; Po-Ning Chen

doi:10.1109/ICCE-China.2017.7991005

A General Structure of Type-III FIR Filters with Derivative Constraints

Bo You Yu, Peng Hua Wang, Po-Ning Chen

Department of Electrical and Computer Engineering

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

1 Scopus citations

Abstract

In this paper, a general structure of type-III FIR filters with derivative constraints is proposed. It consists of a linear combinations of basic sub-filters, called cardinal filters, with weighting coefficients equal to derivatives of the target frequency response at ω = 0. Closed-form expressions for these cardinal filters are derived and their filter coefficients are shown to have a simple recursive relation. Numerical experiments confirm that the proposed design is much more numerically stable than the solution obtained by solving the derivative constraints.

Original language	English
Title of host publication	2017 IEEE International Conference on Consumer Electronics - Taiwan, ICCE-TW 2017
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	81-82
Number of pages	2
ISBN (Electronic)	9781509040179
DOIs	https://doi.org/10.1109/ICCE-China.2017.7991005
State	Published - 25 Jul 2017
Event	4th IEEE International Conference on Consumer Electronics - Taiwan, ICCE-TW 2017 - Taipei, United States Duration: 12 Jun 2017 → 14 Jun 2017

Publication series

Name	IEEE International Conference on Consumer Electronics-Taiwan
Publisher	IEEE
ISSN (Print)	2381-5779

Conference

Conference	4th IEEE International Conference on Consumer Electronics - Taiwan, ICCE-TW 2017
Country/Territory	United States
City	Taipei
Period	12/06/17 → 14/06/17

Keywords

Derivative constrained filter design
linear phase FIR filters
fractional delay filters
CLOSED-FORM DESIGN
DELAYERS

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10.1109/ICCE-China.2017.7991005

Cite this

Yu, B. Y., Wang, P. H., & Chen, P.-N. (2017). A General Structure of Type-III FIR Filters with Derivative Constraints. In 2017 IEEE International Conference on Consumer Electronics - Taiwan, ICCE-TW 2017 (pp. 81-82). Article 7991005 (IEEE International Conference on Consumer Electronics-Taiwan). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/ICCE-China.2017.7991005

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abstract = "In this paper, a general structure of type-III FIR filters with derivative constraints is proposed. It consists of a linear combinations of basic sub-filters, called cardinal filters, with weighting coefficients equal to derivatives of the target frequency response at ω = 0. Closed-form expressions for these cardinal filters are derived and their filter coefficients are shown to have a simple recursive relation. Numerical experiments confirm that the proposed design is much more numerically stable than the solution obtained by solving the derivative constraints.",

keywords = "Derivative constrained filter design, linear phase FIR filters, fractional delay filters, CLOSED-FORM DESIGN, DELAYERS",

author = "Yu, {Bo You} and Wang, {Peng Hua} and Po-Ning Chen",

note = "Publisher Copyright: {\textcopyright} 2017 IEEE.; 4th IEEE International Conference on Consumer Electronics - Taiwan, ICCE-TW 2017 ; Conference date: 12-06-2017 Through 14-06-2017",

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doi = "10.1109/ICCE-China.2017.7991005",

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Yu, BY, Wang, PH & Chen, P-N 2017, A General Structure of Type-III FIR Filters with Derivative Constraints. in 2017 IEEE International Conference on Consumer Electronics - Taiwan, ICCE-TW 2017., 7991005, IEEE International Conference on Consumer Electronics-Taiwan, Institute of Electrical and Electronics Engineers Inc., pp. 81-82, 4th IEEE International Conference on Consumer Electronics - Taiwan, ICCE-TW 2017, Taipei, United States, 12/06/17. https://doi.org/10.1109/ICCE-China.2017.7991005

A General Structure of Type-III FIR Filters with Derivative Constraints. / Yu, Bo You; Wang, Peng Hua; Chen, Po-Ning.
2017 IEEE International Conference on Consumer Electronics - Taiwan, ICCE-TW 2017. Institute of Electrical and Electronics Engineers Inc., 2017. p. 81-82 7991005 (IEEE International Conference on Consumer Electronics-Taiwan).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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AU - Yu, Bo You

AU - Wang, Peng Hua

AU - Chen, Po-Ning

PY - 2017/7/25

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N2 - In this paper, a general structure of type-III FIR filters with derivative constraints is proposed. It consists of a linear combinations of basic sub-filters, called cardinal filters, with weighting coefficients equal to derivatives of the target frequency response at ω = 0. Closed-form expressions for these cardinal filters are derived and their filter coefficients are shown to have a simple recursive relation. Numerical experiments confirm that the proposed design is much more numerically stable than the solution obtained by solving the derivative constraints.

AB - In this paper, a general structure of type-III FIR filters with derivative constraints is proposed. It consists of a linear combinations of basic sub-filters, called cardinal filters, with weighting coefficients equal to derivatives of the target frequency response at ω = 0. Closed-form expressions for these cardinal filters are derived and their filter coefficients are shown to have a simple recursive relation. Numerical experiments confirm that the proposed design is much more numerically stable than the solution obtained by solving the derivative constraints.

KW - Derivative constrained filter design

KW - linear phase FIR filters

KW - fractional delay filters

KW - CLOSED-FORM DESIGN

KW - DELAYERS

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BT - 2017 IEEE International Conference on Consumer Electronics - Taiwan, ICCE-TW 2017

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 4th IEEE International Conference on Consumer Electronics - Taiwan, ICCE-TW 2017

Y2 - 12 June 2017 through 14 June 2017

ER -

A General Structure of Type-III FIR Filters with Derivative Constraints

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