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Reseach Article

Design of 1-Dimentional FIR Filter using Modified Widrow-Hoff Neural Network

by Amit Mishra, Khushboo Pachauri, Zaheeruddin
International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 59 - Number 20
Year of Publication: 2012
Authors: Amit Mishra, Khushboo Pachauri, Zaheeruddin
10.5120/9820-3674

Amit Mishra, Khushboo Pachauri, Zaheeruddin . Design of 1-Dimentional FIR Filter using Modified Widrow-Hoff Neural Network. International Journal of Computer Applications. 59, 20 ( December 2012), 23-28. DOI=10.5120/9820-3674

@article{ 10.5120/9820-3674,
author = { Amit Mishra, Khushboo Pachauri, Zaheeruddin },
title = { Design of 1-Dimentional FIR Filter using Modified Widrow-Hoff Neural Network },
journal = { International Journal of Computer Applications },
issue_date = { December 2012 },
volume = { 59 },
number = { 20 },
month = { December },
year = { 2012 },
issn = { 0975-8887 },
pages = { 23-28 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume59/number20/9820-3674/ },
doi = { 10.5120/9820-3674 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T21:04:48.750029+05:30
%A Amit Mishra
%A Khushboo Pachauri
%A Zaheeruddin
%T Design of 1-Dimentional FIR Filter using Modified Widrow-Hoff Neural Network
%J International Journal of Computer Applications
%@ 0975-8887
%V 59
%N 20
%P 23-28
%D 2012
%I Foundation of Computer Science (FCS), NY, USA
Abstract

This paper is intended to provide an alternative optimization approach for the design of one-dimensional finite impulse response filter based on modified Widrow-Hoff neural network. This technique is based on minimization of weighted square-error function in frequency domain. Design guidelines and implementation approach was presented along with the proof of convergence theorem for the stability of neural network algorithm. Few examples which include single and multiband digital finite impulse response filters are presented; comparisons to existing methods are made. Computational complexity of various neural-based methods are also compared. As simulation results illustrates, the proposed neural network based method is capable of achieving an excellent performance for digital filter design.

References
  1. S. Sunder, “An efficient weighted least-squares design of linear phase nonrecursive filters,” IEEE Trans. Circuits Syst. II, 4th ed. vol. 42, no. 5, pp. 359–361, 1995.
  2. M. Okuda, M. Ikehara and S. Takahashi, Fast and stable least-squares approach for the design of linear phase FIR filters, IEEE Signal Process. Lett., vol. 46, no. 6, pp. 1485-1493, (1998).
  3. X. P. Lai, “Constrained Chebyshev Design of FIR filters,” IEEE Trans. Circuits Syst. II, vol. 51, no. 3, pp. 143–146, 2004.
  4. S. C. Pei, and H. S. Lin, Minimum-Phase FIR filter design using real cepstrum, IEEE Trans. Circuits Syst. II, Exp. Briefs, vol. 53, no. 10, pp. 1113-1117, (2006).
  5. J. G. Proakis and D. G. Manolakis, Digital Signal Processing, 4th ed. Pearson Prentice Hall International, Inc, 1996.
  6. L. R. Rabiner, J. H. McClellan, and T.W. Parks, “FIR digital filter design techniques using weighted Chebyshev approximation,” Proc. IEEE, vol. 63, pp. 595–610, 1975.
  7. P. Zahradnik and M. Vlcek, Analytical design method for optimal equiripple comb FIR filters, IEEE Trans. Circuits Syst. II, Exp. Briefs, vol. 53, no. 2, pp. 112-115, (2005).
  8. H. D. Tuan, T. T. Son, H. Tuy and T. Nguyen, “New linearprogramming- based filter design,” IEEE Trans. Circuits Syst. II, Exp. Briefs, vol. 52, no. 5, pp. 276–281, 2005.
  9. A. T. Chottera and G. A. Jullien, A linear programming approach to recursive digital filter design with linear phase, IEEE Trans. Circuits Syst., vol. 29, pp. 139-149, (1982).
  10. D. Bhattacharya, and A. Antoniou, “Real time design of FIR filters by feedback neural networks ,” IEEE Signal Process. lett., vol. 3, no. 5, pp. 158–161, 1996.
  11. D. Bhattacharya, and A. Antoniou, Design of equiripple FIR filter using feedback neural network, IEEE Trans. Circuits Syst-II, vol. 45, no. 4, pp. 527-531, (1998).
  12. Yue-Dar Jou, Least-squares design of digital differentiators using neural networks with closed-form derivations, IEEE Signal Process. Lett., vol. 12, no. 11, pp. 760-763, (2005).
  13. X. Wang, Xianzhi Meng and Yigang He, “A Novel Neural Networks-Based Approach for Designing FIR Filters,” Proc. IEEE., vol. 1, pp. 4029–4032, 2006.
  14. Yue-Dar Jou and Fu-Kun Chen, “ Least-Squares Design of FIR Filters Based on a Compacted Feedback Neural Network,” IEEE trans. Circuits and Systems- II, vol. 54, no. 5, pp. 427–431, 2007.
  15. S. A. Hosseini and F. Farokhi, An Optimum Design of Linear Phase FIR Filters by the Generalized Brain-State-in-a- Box Neural Network Model, Proc. IEEE., vol. 1, pp. 253-258, (2009).
  16. W. P. Zhu, M. O. Ahmad and M. N. Swamy, “ Weighted least-square design of design of FIR filters using fast iterative matrix inversion algorithm,” IEEE Trans. Circuits Syst-I, vol. 49, no. 11, pp. 143–146, 2002.
  17. Y. C. Lim, J. H. Lee, C. K. Chen and R. H. Yang, A weighted least square algorithm for quasi-equiripple FIR and IIR digital filter design, IEEE Trans. Signal Process., vol. 40, no. 3, pp. 551-558, (1992).
  18. M. T. Hagan, H. B. Demuth and M. Beale, Neural Network Design, 4th ed. Cengage Learning India Pvt. ltd, 2011.
  19. H. Zhao and J. Yu, “A Novel Neural Network-based Approach for Designing Digital Filters,” IEEE International Symposium on Circuits and Systems, pp. 2272–2275, 1997.
Index Terms

Computer Science
Information Sciences

Keywords

FIR filter Weigted square-error function Modified Widrow-Hoff neural network Convergence theorem