A new closed form method for design of variable bandwidth linear phase FIR filter using different polynomials

被引:11
作者
Kumar, A. [1 ]
Suman, S. [1 ,2 ]
Singh, G. K. [3 ]
机构
[1] Indian Inst Informat Technol Design & Mfg, PDPM, Jabalpur 482005, MP, India
[2] Indian Inst Technol, Patna 800013, Bihar, India
[3] Indian Inst Technol Roorkee, Dept Elect Engn, Uttrakhand 247667, India
关键词
Variable bandwidth filter; Chebyshev; Bernstein; and Legendre; polynomials; FIR; DIGITAL-FILTERS; IMPLEMENTATION; SYSTEMS;
D O I
10.1016/j.aeue.2013.10.001
中图分类号
TM [电工技术]; TN [电子技术、通信技术];
学科分类号
0808 ; 0809 ;
摘要
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 (e(p)), stopband error (e(s)) and stopband attenuation (A(s)). (C) 2013 Elsevier GmbH. All rights reserved.
引用
收藏
页码:351 / 360
页数:10
相关论文
共 32 条
  • [1] Attar R.E., 2009, LEGENDRE POLYNOMIALS
  • [2] Approximate finite-dimensional filtering for polynomial states over polynomial observations
    Basin, Michael
    Shi, Peng
    Calderon-Alvarez, Dario
    [J]. INTERNATIONAL JOURNAL OF CONTROL, 2010, 83 (04) : 724 - 730
  • [3] Central suboptimal H∞ filter design for linear time-varying systems with state and measurement delays
    Basin, Michael
    Shi, Peng
    Calderon-Alvarez, Dario
    [J]. INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2010, 41 (04) : 411 - 421
  • [4] A new method for designing FIR filters with variable characteristics
    Chan, SC
    Pun, CKS
    Ho, KL
    [J]. IEEE SIGNAL PROCESSING LETTERS, 2004, 11 (02) : 274 - 277
  • [5] Chan SC, 2002, 2002 IEEE INTERNATIONAL SYMPOSIUM ON CIRCUITS AND SYSTEMS, VOL II, PROCEEDINGS, P185
  • [6] SPECTRAL TRANSOFRMATIONS FOR DIGITAL FILTERS
    CONSTANT.AG
    [J]. PROCEEDINGS OF THE INSTITUTION OF ELECTRICAL ENGINEERS-LONDON, 1970, 117 (08): : 1585 - &
  • [7] PROPERTIES OF FREQUENCY TRANSFORMATIONS FOR VARIABLE CUTOFF LINEAR PHASE DIGITAL-FILTERS
    CROCHIERE, RE
    RABINER, LR
    [J]. IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS, 1976, 23 (11): : 684 - 686
  • [8] Design and parallel implementation of FIR digital filters with simultaneously variable magnitude and non-integer phase-delay
    Deng, TB
    [J]. IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS, 2003, 50 (05) : 243 - 250
  • [9] Weighted least-squares design of variable 1-D FIR filters with arbitrary magnitude responses
    Deng, TB
    [J]. 2000 IEEE ASIA-PACIFIC CONFERENCE ON CIRCUITS AND SYSTEMS: ELECTRONIC COMMUNICATION SYSTEMS, 2000, : 288 - 291
  • [10] Ding Q, 2010, INT J INNOV COMPUT I, V6, P995