An optimized cosine-modulated nonuniform filter bank design for subband coding of ECG signal

Abstract A simple iterative technique for the design of nonuniform cosine modulated filter banks (CMFBS) is presented in this paper. The proposed technique employs a single parameter for optimization. The nonuniform cosine modulated filter banks are derived by merging the adjacent filters of uniform cosine modulated filter banks. The prototype filter is designed with the aid of different adjustable window functions such as Kaiser, Cosh and Exponential, and by using the constrained equiripple finite impulse response (FIR) digital filter design technique. In this method, either cut off frequency or passband edge frequency is varied in order to adjust the filter coefficients so that reconstruction error could be optimized/minimized to zero. Performance and effectiveness of the proposed method in terms of peak reconstruction error (PRE), aliasing distortion (AD), computational (CPU) time, and number of iteration (NOI) have been shown through the numerical examples and comparative studies. Finally, the technique is exploited for the subband coding of electrocardiogram (ECG) and speech signals.

[1]  Anil Kumar,et al.  A simple design method for the cosine-modulated filter banks using weighted constrained least square technique , 2011, J. Frankl. Inst..

[2]  Ricardo L. de Queirox UNIFORM FILTER BANKS WITH NONUNIFORM BANDS: POST-PROCESSING DESIGN , 1998 .

[3]  Byeong Gi Lee,et al.  A design of nonuniform cosine modulated filter banks , 1995 .

[4]  Martin Vetterli,et al.  A theory of multirate filter banks , 1987, IEEE Trans. Acoust. Speech Signal Process..

[5]  Li Qiu,et al.  General multirate building structures with application to nonuniform filter banks , 1998 .

[6]  Elizabeth Elias,et al.  Artificial bee colony algorithm for the design of multiplier-less nonuniform filter bank transmultiplexer , 2012, Inf. Sci..

[7]  Richard V. Cox,et al.  The design of uniformly and nonuniformly spaced pseudoquadrature mirror filters , 1986, IEEE Trans. Acoust. Speech Signal Process..

[8]  John Princen The design of nonuniform modulated filterbanks , 1995, IEEE Trans. Signal Process..

[9]  Zi-Jing Zhang,et al.  Efficient Design of High-Complexity Cosine Modulated Filter Banks Using $2 M$th Band Conditions , 2008, IEEE Transactions on Signal Processing.

[10]  X.M. Xie,et al.  A simple design method of linear-phase nonuniform filter banks with integer decimation factors , 2005, 48th Midwest Symposium on Circuits and Systems, 2005..

[11]  Shing-Chow Chan,et al.  Design of perfect-reconstruction nonuniform recombination filter banks with flexible rational sampling factors , 2005, IEEE Transactions on Circuits and Systems I: Regular Papers.

[12]  Zhang Zijing,et al.  A Simple Design Method for Nonuniform Cosine Modulated Filter Banks , 2007, 2007 International Symposium on Microwave, Antenna, Propagation and EMC Technologies for Wireless Communications.

[13]  W. A. Coberly,et al.  ECG data compression techniques-a unified approach , 1990, IEEE Transactions on Biomedical Engineering.

[14]  A. Nacaroglu,et al.  Modification of Cosh Window Family , 2008, 2008 3rd International Conference on Information and Communication Technologies: From Theory to Applications.

[15]  Stuart W. A. Bergen A design method for cosine-modulated filter banks using weighted constrained-least-squares filters , 2008, Digit. Signal Process..

[16]  R. Heusdens,et al.  Subband merging in cosine-modulated filter banks , 2003, IEEE Signal Processing Letters.

[17]  Tapio Saramäki,et al.  A Fast Windowing-Based Technique Exploiting Spline Functions for Designing Modulated Filter Banks , 2009, IEEE Transactions on Circuits and Systems I: Regular Papers.

[18]  Shing-Chow Chan,et al.  A class of biorthogonal nonuniform cosine-modulated filter banks with lower system delay , 2001, ISCAS 2001. The 2001 IEEE International Symposium on Circuits and Systems (Cat. No.01CH37196).

[19]  J. Princen The design of nonuniform modulated filter banks , 1994, Proceedings of IEEE-SP International Symposium on Time- Frequency and Time-Scale Analysis.

[20]  Anil Kumar,et al.  Design of M-channel cosine modulated filter bank using modified Exponential window , 2012, J. Frankl. Inst..

[21]  Gordana Jovanovic-Dolecek Multirate Systems: Design and Applications , 2001 .

[22]  Truong Q. Nguyen,et al.  A simple design method for near-perfect-reconstruction nonuniform filter banks , 1997, IEEE Trans. Signal Process..

[23]  Samrat Ashok,et al.  Cosine Modulated Non-Uniform Filter Banks , 2011, J. Signal Inf. Process..

[24]  P. P. Vaidyanathan,et al.  New results and open problems on nonuniform filter-banks , 1999, 1999 IEEE International Conference on Acoustics, Speech, and Signal Processing. Proceedings. ICASSP99 (Cat. No.99CH36258).

[25]  Shing-Chow Chan,et al.  Design of linear-phase recombination nonuniform filter banks , 2006, IEEE Transactions on Signal Processing.

[26]  Girish Kumar Singh,et al.  A simple method for the design of cosine-modulated pseudo-QMF banks , 2010 .

[27]  Sanjit K. Mitra,et al.  A simple method for designing high-quality prototype filters for M-band pseudo QMF banks , 1995, IEEE Trans. Signal Process..

[28]  Anil Kumar,et al.  An improved closed form design method for the cosine modulated filter banks using windowing technique , 2011, Appl. Soft Comput..

[29]  Shing-Chow Chan,et al.  Biorthogonal Recombination Nonuniform Cosine-Modulated Filter Banks and their Multiplier-Less Realizations , 2006, J. VLSI Signal Process..

[30]  Mark J. T. Smith,et al.  Nonuniform filter banks: a reconstruction and design theory , 1993, IEEE Trans. Signal Process..

[31]  Kemal Avci,et al.  Cosh window family and its application to FIR filter design , 2009 .

[32]  Anil Kumar,et al.  Design of nearly perfect reconstructed non-uniform filter bank by constrained equiripple FIR technique , 2013, Appl. Soft Comput..

[33]  P. Vaidyanathan Multirate Systems And Filter Banks , 1992 .

[34]  Shing-Chow Chan,et al.  Theory and design of a class of cosine-modulated non-uniform filter banks , 2000, 2000 IEEE International Conference on Acoustics, Speech, and Signal Processing. Proceedings (Cat. No.00CH37100).

[35]  Alexander A. Petrovsky,et al.  Near-Perfect Reconstruction Oversampled Nonuniform Cosine-Modulated Filter Banks Based on Frequency , 2012 .

[36]  Rajiv Saxena,et al.  An optimized design of nonuniform filter bank using variable-combinational window function , 2013 .

[37]  Rajiv Saxena,et al.  A design of IFIR prototype filter for Cosine Modulated Filterbank and Transmultiplexer , 2013 .

[38]  K. Avci,et al.  High quality low order nonrecursive digital filters design using modified Kaiser window , 2008, 2008 6th International Symposium on Communication Systems, Networks and Digital Signal Processing.

[39]  Andreas Antoniou,et al.  An efficient closed-form design method for cosine-modulated filter banks using window functions , 2007, Signal Process..

[40]  Jelena Kovacevic,et al.  Perfect reconstruction filter banks with rational sampling factors , 1993, IEEE Trans. Signal Process..

[41]  Manuel Blanco-Velasco,et al.  Embedded filter bank-based algorithm for ECG compression , 2008, Signal Process..