An Optimized Design of Non-uniform Filterbank

The tree structured approach of non-uniform filterbank (NUFB) is normally used in perfect reconstruction (PR). The PR is not always feasible due to certain limitations, i.e, constraints in selecting design parameters, design complexity and some times output is severely affected by aliasing error if necessary and sufficient conditions of PR is not satisfied perfectly. Therefore, there has been generalized interest of researchers to go for near perfect reconstruction (NPR). In this proposed work, an optimized tree structure technique is used for the design of NPR non-uniform filterbank. Window functions of Blackman family are used to design the prototype FIR filter. A single variable linear optimization is used to minimize the amplitude distortion. The main feature of the proposed design is its simplicity with linear phase property.

Authors:

• Ram Kumar Soni
• Alok Jain
• Rajiv Saxena

Keywords:

• Tree structure
• NUFB
• QMF
• NPR.

References:

[1] G. Shi, X. Xie, W. Zhong, "Recent advances and new design method in
nonuniform filter banks," Proc. of IEEE Int. Conf. on Communications,
Circuits and Systems, vol. 1, June 2006, pp. 211-215.
[2] X.M. Xie, X.Y. Chen and G.M. Shi, "A simple design method of linearphase
nonuniform filter banks with integer decimation factors," Proc. of
Int. Symp. on Circuit and Systems, vol. 1, Aug. 2005, pp. 724-727.
[3] X.M. Xie, S.C. Chan and T.I. Yuk, "A class of perfect reconstruction
nonuniform cosine-modulated filterbank with dynamic recombination,"
Proc. of XI European Signal Processing Conf., vol. 2, Toulouse, France,
Sept. 2002. pp. 549-552.
[4] S.C. Chan, X.M. Xie, "A rational subdivision scheme using cosinemodulated
wavelets," Proc. of Int. Symp. on Circuits and Systems, vol.3,
Vancouver, Canada, May 2004, pp. 409-412.
[5] S.C. Chan, X.M. Xie and T.I. Yuk, "Theory and design of a class of
cosine-modulated nonuniform filterbank," Proc. of IEEE Int. Conf. on
Acoustics, Speech, and Signal Processing," vol. 1, Istanbul, 2000, pp.
504-507.
[6] E. Elias, P. Lowenborg, H.Johansson and L.Wanhammar, "Treestructured
IIR/FIR octave-band filterbanks with very low-complexity
analysis filters," IEEE Int. Symp. on Circuits and Systems, ( ISCAS),
vol. 2, May 2001, pp. 533-536.
[7] O.A. Niamut, R. Heusdens, "Sub-band merging in cosine-modulated
filter banks," IEEE Signal Processing letter, vol. 10, no. 4, Apr. 2003,
pp. 111-114.
[8] J.Li, T.Q.Nguyen and S. Tantaratana, "A simple design method for near
perfect reconstruction nonuniform filterbanks," IEEE Trans. on Signal
Processing, vol. 45, no. 8, Aug. 1997.
[9] R.K.Soni, A.Jain and R. Saxena, "New efficient iterative optimization
algorithm to design the two channel QMF bank," Transactions on
Engineering Computing and Technology, ISSN 1305-5313, vol. 18, Dec.
2006, pp. 206-210.
[10] S.K. Mitra, Digital Signal Processing. Tata McGraw Hill, 2001.
[11] P.P. Vaidyanathan, Multirate Systems and Filter Banks, Prentice Hall
1992.
[12] J. Sony, Akkarakaran and P.P. Vaidyanathan, "New results and open
problems on nonuniform filterbanks," Proc. of IEEE, ICASSP, vol.3,
1999, pp. 1501-1504.
[13] F.J. Harris, "On the use of windows for harmonic analysis with the
discrete Fourier transforms," IEEE Proc., vol. 66, no. 1, Jan. 1978, pp.
51-83.
[14] A.H. Nutall, "Some windows with very good side-lobe behavior," IEEE
Trans. Acoustics, Speech, and Signal Processing, vol. ASSP-29, no. 1,
Feb.1981, pp. 84 -91.