New Efficient Iterative Optimization Algorithm to Design the Two Channel QMF Bank

Authors: Ram Kumar Soni, Alok Jain, Rajiv Saxena

Abstract:

This paper proposes an efficient method for the design of two channel quadrature mirror filter (QMF) bank. To achieve minimum value of reconstruction error near to perfect reconstruction, a linear optimization process has been proposed. Prototype low pass filter has been designed using Kaiser window function. The modified algorithm has been developed to optimize the reconstruction error using linear objective function through iteration method. The result obtained, show that the performance of the proposed algorithm is better than that of the already exists methods.

Keywords: Filterbank, near perfect reconstruction, Kaiserwindow, QMF.

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1331013

References:

[1] J. D. Johnston, "A filter family designed for use in quadrature mirror filter banks," Proc. IEEE Int. Conf. Acoustics, Speech, Signal Processing, pp. 291-294, 1980.
[2] M.G. Bellanger, J.L. Daguet, "TDM-FDM transmultiplexer: Digital Poly phase and FFT," IEEE Trans. Commun. 22 (9) (1974), pp. 1199- 1204.
[3] H. Scheurmann, H.Gockler, "A comprehensive survey on digital trans-multiplexing methods," Proc. IEEE 69 (11) (1981) pp 1419- 1450.
[4] M.Vetterly, "Prefect transmultiplexers," Proc. IEEE International Conference on Acoustics, Speech, and Signal Processing, vol. 4, (1986),pp. 2567- 2570.
[5] G.Gu.,E.F. Badran, "Optimal design for channel equalization via the filter bank approach," IEEE Trans. Signal Process.52 (2) (2004) pp. 536-544.
[6] D. Esteban, C. Galand, "Application of quadrature mirror filter to split band voice coding schemes," Proc. IEEE International Conference on Acoustics, Speech, and Signal Processing (ASSP), 1977, pp. 191-195.
[7] R.E.Crochiere,"Sub-band coding," Bell Syst. Tech. J., 9(1981) pp. 1633-1654.
[8] M.J.T. Smith, S.L. Edins, "Analysis/ synthesis techniques for sub- band image coding," IEEE Trans. Acoust. Speech Signal Process.(ASSP) ,38 (8) (1990),pp. 1446-1456.
[9] F.Delgosa,F.Fekri,"Resultson factorization of multidimensional matrices for paraunitary filter bank over the complex field ," IEEE Trans. Signal Process. , 52(5) (2004), pp. 1289-1303.
[10] M. Vrtterli , " Multidimensional sub-band coding: Some theory and algorithm, Signal Process 6 (1984), pp. 97- 112.
[11] J.W. Woods, S.D.O Neil , " Sub-band coding of images," IEEE Trans Acoustic. Speech and Signal Process.( ASSP)-34 (10) (1986),pp. 1278- 1288.
[12] Q.G. Liu, B. Champagne, D.K.C. Ho, " Simple design of over sampled uniform DFT filter banks with application to sub-band acoustic echo cancellation," Signal Process, 80(5) (2000),pp. 831- 847.
[13] R. E. Crochiere and L. R. Rabiner , Multirate digital signal processing, Prentice-Hall , 1983,.ch.
[14] Charles D., Creusere and Sanjit K. Mitra , "A simple method for designing high-quality prototype filters for M band pseudo QMF banks," IEEE Trans. Signal Processing, 43, (1995),pp. 1005-1007.
[15] Sanjit K. Mitra , Digital signal processing: A computer based Approach, TMH(2001), ch. 7&10.
[16] P. P. Vaidyanathan, Multirate systems and filter banks, Pearson Education (2004),ch.4 &5.
[17] V.K.Jain, R.E. Crochiere, "Quadrature mirror filter design in time domain," IEEE Trans, Acoustic,. Speechand Signal Process. ASSP- 329 (4) (1984 ), pp. 353-361.
[18] H. Xu, W.S. Lu, A. Antoniou , "An improved method for design of FIR quadrature mirror image filter banks," IEEE Trans. Signal Process. , 46 (6) (1998) pp.1275-1281.
[19] C. K. Goh , Y. C. Lim , "An efficient algorithm to design weighted minimax PR QMF banks," IEEE Trans. Signal Process.47(12)(1999),pp. 3303-3314.
[20] C.K. Chen, J.H. Lee, "Design of quadrature mirror filters with linear phase in frequency domain," IEEE Trans Circuits System, 39 (9) (1992) pp.593-605.
[21] P.P. Vaidyanathan , "Multirate digital filters, filter banks, polyphase networks and applications: A tutorial," Proc. IEEE78 (1) (1990) pp.56- 93.
[22] R. Bregovic, T. Saramaki , "A general purpose Optimization approach for designing two-channel FIR filter bank," IEEE Trans. Signal Procss. 51(7) (2003),pp. 1783-1791.
[23] D. J. DeFatta, J. G. Lucas and W. S. Hodgkiss, Digital signal processing: A system design approach , Wiley (1988).pp202-220.
[24] Yuan-Pei Lin and P. P. Vaidyanathan, "A Kaiser window approach for the design of prototype filters of cosine modulated filter banks," IEEE Signal Processing Lett., 5, pp.132- 134 (1998).