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

Authors:
Bingo Wing-Kuen Ling;Charlotte Yuk-Fan Ho;Ted Chi-Wah Kok;Wan-Chi Siu;Kok-Lay Teo
Affiliations:
Faculty of Information Engineering, Guangdong University of Technology, Guangzhou 510006, China;School of Mathematical Sciences, Queen Mary, University of London, Mile End Road, London, E1 4NS, United Kingdom;Canaan Microelectronics, Room 1604, Hart Avenue Plaza, 5-9 Hart Avenue, Tsim Sha Tsui, Kowloon, Hong Kong, China;Department of Electronic and Information Engineering, Hong Kong Polytechnic University, Hung Hom, Kowloon, Hong Kong, China;Department of Mathematics and Statistics, Curtin University of Technology, Perth, CRICOS Provider Code 00301J, Australia
Venue:
Digital Signal Processing
Year:
2013

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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.