Design of Kaiser window based optimized prototype filter for cosine modulated filter banks

In this paper, Kaiser window based design of prototype filter for cosine modulated filter banks is presented. The reconstruction error, which is used as an objective function, is minimized by optimizing the cutoff frequency of designed prototype filter. Linear search optimization algorithm is employed. The results show significant reduction in reconstruction error compared to other earlier reported works.

[1]  P. P. Vaidyanathan,et al.  Cosine-modulated FIR filter banks satisfying perfect reconstruction , 1992, IEEE Trans. Signal Process..

[2]  Kalyanmoy Deb,et al.  Optimization for Engineering Design: Algorithms and Examples , 2004 .

[3]  P. Chu Quadrature mirror filter design for an arbitrary number of equal bandwidth channels , 1985, IEEE Trans. Acoust. Speech Signal Process..

[4]  Shing-Chow Chan,et al.  On the Design of Nearly-PR and PR FIR Cosine Modulated Filter Banks Having Approximate Cosine-Rolloff Transition Band , 2008, IEEE Transactions on Circuits and Systems II: Express Briefs.

[5]  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..

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

[7]  Brian Borchers,et al.  Review of practical optimization: algorithms and engineering applications by Andreas Antoniou and Wu-Sheng Lu (Springer Verlag, 2007) , 2009, SIGA.

[8]  Tapio Saramäki,et al.  A new window for the design of cosine-modulated multirate systems , 2004, 2004 IEEE International Symposium on Circuits and Systems (IEEE Cat. No.04CH37512).

[9]  Truong Q. Nguyen Near-perfect-reconstruction pseudo-QMF banks , 1994, IEEE Trans. Signal Process..

[10]  P. P. Vaidyanathan,et al.  A Kaiser window approach for the design of prototype filters of cosine modulated filterbanks , 1998, IEEE Signal Processing Letters.

[11]  Andreas Antoniou,et al.  Practical Optimization: Algorithms and Engineering Applications , 2007, Texts in Computer Science.

[12]  Saturnino Maldonado-Bascón,et al.  An efficient and simple method for designing prototype filters for cosine-modulated pseudo-QMF banks , 2002, IEEE Signal Processing Letters.

[13]  Rajiv Saxena,et al.  An improved and simplified design of cosine-modulated pseudo-QMF filterbanks , 2006, Digit. Signal Process..

[14]  Henrique S. Malvar Modulated QMF filter banks with perfect reconstruction , 1990 .

[15]  Tapio Saramäki,et al.  An efficient approach for designing nearly perfect-reconstruction cosine-modulated and modified DFT filter banks , 2001, 2001 IEEE International Conference on Acoustics, Speech, and Signal Processing. Proceedings (Cat. No.01CH37221).

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

[17]  Tapio Saramäki,et al.  Design of practically perfect-reconstruction cosine-modulated filter banks: a second-order cone programming approach , 2004, IEEE Transactions on Circuits and Systems I: Regular Papers.

[18]  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.

[19]  Joseph Rothweiler,et al.  Polyphase quadrature filters-A new subband coding technique , 1983, ICASSP.

[20]  R. Crochiere,et al.  Quadrature mirror filter design in the time domain , 1984 .

[21]  Singiresu S. Rao Engineering Optimization : Theory and Practice , 2010 .