Empirical formula for designing a class of linear phase FIR single band PCLS filters

Bingo Wing Kuen Ling; Charlotte Yuk Fan Ho; Ted Chi Wah Kok; Wan Chi Siu; Kok Lay Teo

doi:10.1016/j.dsp.2012.08.017

Empirical formula for designing a class of linear phase FIR single band PCLS filters

Bingo Wing Kuen Ling
, Charlotte Yuk Fan Ho
, Ted Chi Wah Kok
, Wan Chi Siu
, Kok Lay Teo

Guangdong University of Technology
Queen Mary University of London
Canaan Microelectronics
Hong Kong Polytechnic University
Curtin University

Research output: Contribution to journal › Article › peer-review

5 Citations (Scopus)

Abstract

This paper presents an empirical formulation relating the filter length, the transition-band bandwidth, the cutoff frequency, the maximum passband-ripple magnitude, the maximum stopband-ripple magnitude and the total ripple energy of a class of linear phase finite impulse response (FIR) single band peak constrained least squares (PCLS) filters. Design examples are presented to demonstrate applications and accuracies of the presented formula.

Original language	English
Pages (from-to)	470-477
Number of pages	8
Journal	Digital Signal Processing: A Review Journal
Volume	23
Issue number	1
DOIs	https://doi.org/10.1016/j.dsp.2012.08.017
Publication status	Published - Jan 2013
Externally published	Yes

Keywords

Cutoff frequency
Filter length
Linear phase FIR single band PCLS filters
Maximum passband-ripple magnitude
Maximum stopband-ripple magnitude
Total ripple energy
Transition-band bandwidth

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10.1016/j.dsp.2012.08.017

Cite this

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abstract = "This paper presents an empirical formulation relating the filter length, the transition-band bandwidth, the cutoff frequency, the maximum passband-ripple magnitude, the maximum stopband-ripple magnitude and the total ripple energy of a class of linear phase finite impulse response (FIR) single band peak constrained least squares (PCLS) filters. Design examples are presented to demonstrate applications and accuracies of the presented formula.",

keywords = "Cutoff frequency, Filter length, Linear phase FIR single band PCLS filters, Maximum passband-ripple magnitude, Maximum stopband-ripple magnitude, Total ripple energy, Transition-band bandwidth",

author = "Ling, \{Bingo Wing Kuen\} and Ho, \{Charlotte Yuk Fan\} and Kok, \{Ted Chi Wah\} and Siu, \{Wan Chi\} and Teo, \{Kok Lay\}",

year = "2013",

month = jan,

doi = "10.1016/j.dsp.2012.08.017",

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AU - Ho, Charlotte Yuk Fan

AU - Kok, Ted Chi Wah

AU - Siu, Wan Chi

AU - Teo, Kok Lay

PY - 2013/1

Y1 - 2013/1

N2 - This paper presents an empirical formulation relating the filter length, the transition-band bandwidth, the cutoff frequency, the maximum passband-ripple magnitude, the maximum stopband-ripple magnitude and the total ripple energy of a class of linear phase finite impulse response (FIR) single band peak constrained least squares (PCLS) filters. Design examples are presented to demonstrate applications and accuracies of the presented formula.

AB - This paper presents an empirical formulation relating the filter length, the transition-band bandwidth, the cutoff frequency, the maximum passband-ripple magnitude, the maximum stopband-ripple magnitude and the total ripple energy of a class of linear phase finite impulse response (FIR) single band peak constrained least squares (PCLS) filters. Design examples are presented to demonstrate applications and accuracies of the presented formula.

KW - Cutoff frequency

KW - Filter length

KW - Linear phase FIR single band PCLS filters

KW - Maximum passband-ripple magnitude

KW - Maximum stopband-ripple magnitude

KW - Total ripple energy

KW - Transition-band bandwidth

UR - https://www.scopus.com/pages/publications/84869490780

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DO - 10.1016/j.dsp.2012.08.017

M3 - Article

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SN - 1051-2004

VL - 23

SP - 470

EP - 477

JO - Digital Signal Processing: A Review Journal

JF - Digital Signal Processing: A Review Journal

IS - 1

ER -

Empirical formula for designing a class of linear phase FIR single band PCLS filters

Abstract

Keywords

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