Quantized Coefficient F.I.R. Filter for the Design of Filter Bank

  ijett-book-cover  International Journal of Engineering Trends and Technology (IJETT)          
  
© 2013 by IJETT Journal
Volume-4 Issue-8                      
Year of Publication : 2013
Authors : Rajeev Singh Dohare , Prof. Shilpa Datar

MLA 

Rajeev Singh Dohare , Prof. Shilpa Datar. "Quantized Coefficient F.I.R. Filter for the Design of Filter Bank". International Journal of Engineering Trends and Technology (IJETT). V4(8):3271-3277 Jul 2013. ISSN:2231-5381. www.ijettjournal.org. published by seventh sense research group.

Abstract

This paper presents a very simple and efficient Quantized coefficient finite impulse response (FIR) low pass filter design procedure. This involves approximation of a quantized coefficient FIR filter by roun ding operation to design a filter bank. The prototype filter is designed using rounding technique to provide quantized coefficient FIR filter which is computationally efficient. The rounding factors, requiring minimum to maximum number of multipliers, are used to show the performance of the designed filter bank. In that way the filter is based on combining one simple filter with integer coefficients. Our analysis indicates that utilizing this approach the required numbers of total non - zero bits become quite low and less multiplier and adders will be employed in the design of filter bank to make it computationally efficient .

References

[1]Gordana Jovanovich Dolecek and Sanjit K. Mitra, “Computationally Efficient Multiplier - free F IR Filter Design”, Computation y Sistemas, vol. 10, no. 3, , ISSN 1405 - 5546, pp. 251 - 267 , 2007,
[2] M. Bhattacharya and T, Saramaki, “Some observations leading to multiplier less implementation of linear phase filters,” P roc. ICASSP , pp.517 - 520, 2003.
[3] Y . C. Lim, “Frequency - response masking approach for the synthesis of sharp linear phase digital filters,” IEEE Trans. Circuits and Systems, CAS 33, pp. 357 - 364, April 1986.
[4] P. P. Vaidyanathan, Multirate systems and filter banks, Englewood Cliffs, NJ: Pr entice - Hall, 1993.
[5] S. K. Mitra, Digital signal processing: A computer Based Approach. New York, NY: McGraw Hill, 1998.
[6] C. D. Creusere and S.K. Mitra, “A simple method for designing high - quality prototype filters for M - band pseudo QMF banks”, IEEE Trans. on Signal Processing, vol. 43, no. 4, pp. 1005 - 1007, April 1995.
[7] T. Saram ̈aki, Y. Neuvo, and S. K. Mitra, “Design of computationally efficient interpolated FIR filters,” IEEE Trans. Circuits Syst., vol. 35, pp. 70 – 88, Jan. 1988.
[ 8] H. Samueli, “An improved search algorithm for the Design of multiplier less FIR filters with powers - of - two coefficients,” IEEE Trans. Circuits Syst., vol. 36, pp. 1044 – 1047, July 1989.
[9] M. E. Nordberg, III, “A fast algorithm for FIR digital filtering with a sum - of - triangles weighting function,” Circuits, Syst. Signal Process., vol. 15, no. 2, pp. 145 – 164,1996.
[10] A . Bartolo, B. D. Clymer, R. C. Burges, and J. P. Turnbull , “An efficient method of FIR filtering based on Impulse response rounding,” IEEE Trans. on Signal Processing , vol. 46, No. 8, pp.2243 - 2248, August 1998.
[11] K . A. Kotteri, A. E. Bell, and J. E. Carletta , “Quantized FIR Filter Design Using Compensating Zeros, ” IEEE Signal Processing Magazine, pp. 60 - 67 , Nov. 2003 .
[12] G. Jovan ovic Dolecek and S.K. Mitra , “Design of FIR Lowpass filters using stepped triangular approximation,” Proc. NORSIG 2002, Norway, Oct. 2002.
[13] A. Mehrnia and A. Willson Jr., “On optimal IFIR filter design,” in Proc. 2004 Int. Symp. Circuits and Systems (ISCAS), vol. 3, pp. 133 – 136, May 23 – 26, 2004,
[14] G . Jovanovic - Dolecek, M. M - Alvarez and M.Martinez , “One simple method f or the design of multiplier less FIR filters,” Journal of Applied Research and Technolog y Vol. 3 No. 2, pp.125 - 138, August 2005.

Keywords
FIR filter, filter bank, rounding.