New Efficient Iterative Optimization Algorithm to Design the Two Channel QMF Bank
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.
[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).
[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).
@article{"International Journal of Electrical, Electronic and Communication Sciences:52932", author = "Ram Kumar Soni and Alok Jain and Rajiv Saxena", title = "New Efficient Iterative Optimization Algorithm to Design the Two Channel QMF Bank", 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.", volume = "2", number = "12", pages = "2691-5", }
