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Please use this identifier to cite or link to this item: http://repository.iitr.ac.in/handle/123456789/7255
Title: Design of quadrature mirror filter bank using Lagrange multiplier method based on fractional derivative constraints
Authors: Kuldeep B.
Kumar A.
Singh, Girish Kumar
Published in: Engineering Science and Technology, an International Journal
Abstract: Fractional calculus has recently been identified as a very important mathematical tool in the field of signal processing. Digital filters designed by fractional derivatives give more accurate frequency response in the prescribed frequency region. Digital filters are most important part of multi-rate filter bank systems. In this paper, an improved method based on fractional derivative constraints is presented for the design of two-channel quadrature mirror filter (QMF) bank. The design problem is formulated as minimization of L2 error of filter bank transfer function in passband, stopband interval and at quadrature frequency, and then Lagrange multiplier method with fractional derivative constraints is applied to solve it. The proposed method is then successfully applied for the design of two-channel QMF bank with higher order filter taps. Performance of the QMF bank design is then examined through study of various parameters such as passband error, stopband error, transition band error, peak reconstruction error (PRE), stopband attenuation (As). It is found that, the good design can be obtained with the change of number and value of fractional derivative constraint coefficients. © 2015 Karabuk University
Citation: Engineering Science and Technology, an International Journal (2015), 18(2): 235-243
URI: https://doi.org/10.1016/j.jestch.2014.12.005
http://repository.iitr.ac.in/handle/123456789/7255
Issue Date: 2015
Publisher: Elsevier B.V.
Keywords: Fractional derivative
Multi-rate
Peak reconstruction error (PRE)
Prototype filter
Quadrature mirror filter (QMF)
ISSN: 22150986
Author Scopus IDs: 36801932100
57215268681
57193351909
Author Affiliations: Kuldeep, B., Indian Institute of Information Technology Design and Manufacturing, Jabalpur, MP 482011, India
Kumar, A., Indian Institute of Information Technology Design and Manufacturing, Jabalpur, MP 482011, India
Singh, G.K., Department of Electrical Engineering, Indian Institute of Technology Roorkee, Roorkee, Uttrakhand 247667, India
Corresponding Author: Kumar, A.; Indian Institute of Information Technology Design and ManufacturingIndia; email: anilkdee@gmail.com
Appears in Collections:Journal Publications [EE]

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