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Please use this identifier to cite or link to this item: http://repository.iitr.ac.in/handle/123456789/6957
Title: A new closed form method for design of variable bandwidth linear phase FIR filter using different polynomials
Authors: Kumar A.
Suman S.
Singh, Girish Kumar
Published in: AEU - International Journal of Electronics and Communications
Abstract: In this paper, a new method for the design of variable bandwidth linear-phase finite impulse response (FIR) filters using different polynomials such as shifted Chebyshev polynomials, Bernstein polynomials and shifted Legendre polynomials is proposed. For this purpose, the transfer function of a variable bandwidth filter, which is a linear combination of fixed-coefficient linear-phase filters and the above polynomials are separately exploited as tuning parameters to control bandwidth of the filter. In order to determine the filter coefficients, mean squared difference between the desired variable bandwidth filter and the practical filter is minimized by differentiating it with respect to its coefficients leading to a system of linear equations. The matrix elements can be expressed in form of Toeplitz-plus-Hankel matrix, which reduces the computational complexity. Several examples are included to demonstrate effectiveness of the proposed method in terms of passband error (ep), stopband error (es) and stopband attenuation (A s). © 2013 Elsevier GmbH.
Citation: AEU - International Journal of Electronics and Communications (2014), 68(4): 351-360
URI: https://doi.org/10.1016/j.aeue.2013.10.001
http://repository.iitr.ac.in/handle/123456789/6957
Issue Date: 2014
Keywords: Chebyshev, Bernstein, and Legendre polynomials
FIR
Variable bandwidth filter
ISSN: 14348411
Author Scopus IDs: 57215268681
55893726000
57193351909
Author Affiliations: Kumar, A., PDPM Indian Institute of Information Technology Design and Manufacturing, Jabalpur 482005, MP, India
Suman, S., PDPM Indian Institute of Information Technology Design and Manufacturing, Jabalpur 482005, MP, India, Indian Institute of Technology Patna, Patna 800013, Bihar, India
Singh, G.K., Department of Electrical Engineering, Indian Institute of Technology Roorkee, Uttrakhand 247667, India, Department of Electrical Engineering, University of Malaya, 50603 Kuala Lumpur, Malaysia
Corresponding Author: Kumar, A.; PDPM Indian Institute of Information Technology Design and Manufacturing, Jabalpur 482005, MP, India; email: anilkdee@gmail.com
Appears in Collections:Journal Publications [EE]

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