An Efficient Method for Designing of Modulated Filter Banks with Causal-Stable IIR Filters

详细信息    查看全文

• 作者：S. S. Yin (1)
  Y. Zhou (2)
  S. C. Chan (3)
  
  1. Department of Electronic and Information Engineering ; Anhui University of Finance and Economic ; Bengbu ; Anhui Province ; 233041 ; China
  2. School of Communication and Information Engineering ; Chongqing University of Posts and Telecommunications ; Chongqing ; 400065 ; China
  3. Department of Electrical and Electronic Engineering ; University of Hong Kong ; Pokfulam Road ; Hong Kong ; Hong Kong
  
• 关键词：Causal stable IIR filters ; Cosine modulated filter banks ; Modified discrete Fourier transform filter banks ; Convex programming ; Nearly perfect reconstruction ; Perfect reconstruction
• 刊名：The Journal of VLSI Signal Processing
• 出版年：2015
• 出版时间：February 2015
• 年：2015
• 卷：78
• 期：2
• 页码：187-197
• 全文大小：1,665 KB
• 参考文献：1. Vaidyanathan, P. P. (1993). / Multirate systems and filter banks. Englewood Cliffs: Prentice Hall.
  2. Koilpillai, R. D., & Vaidyanathan, P. P. (1993). A spectral factorization approach to pseudo-QMF design. / IEEE Transactions on Signal Processing, 41(1), 82鈥?2. CrossRef
  3. Heller, P. N., Karp, T., & Nguyen, T. Q. (1999). A general formulation of modulated filter banks. / IEEE Transactions on Signal Processing, 47(4), 986鈥?002. CrossRef
  4. Karp, T., & Fliege, N. J. (1999). Modified DFT filter banks with perfect reconstruction. / IEEE Transactions on Circuits and Systems II, 46(11), 1404鈥?414. CrossRef
  5. Lin, Y. P., & Vaidyanathan, P. P. (1998). A kaiser window approach for the design of prototype filters of cosine modulated filterbanks. / IEEE Signal Processing Letters, 5(6), 132鈥?34. CrossRef
  6. Cruz-Roldan, F., Amo-Lopez, P., Maldonado-Bascon, S., & Lawson, S. S. (2002). An efficient and simple method for designing prototype filters for cosine-modulated pseudo-QMF banks. / IEEE Signal Processing Letters, 9(1), 29鈥?1. CrossRef
  7. Yin, S. S., Chan, S. C., & Tsui, K. M. (2008). On the design of nearly-PR and PR FIR cosine modulated filter banks having approximate cosine-rolloff transition band. / IEEE Transactions on Circuits and Systems II, 55(6), 571鈥?75. CrossRef
  8. Nguyen, T. Q., Laakso, T. I., & Tuncer, T. E. (1994). On perfect-reconstruction allpass-based cosine-modulated IIR filter banks. In / Proc. IEEE ISCAS鈥?994, vol. 2, pp. 33鈥?6, May.
  9. Kim, S. G., & Yoo, C. D. (2003). Highly selective M-channel IIR cosine-modulated filter banks. / Electronics Letters, 39(20), 1478鈥?479. CrossRef
  10. Svensson, L., Lowenborg, P., & Johansson, H. (2002). A class of cosine-modulated causal IIR filter banks. In / Proc. ICECS鈥?002, vol. 3, pp. 915鈥?18, Sept.
  11. Mao, J. S., Chan, S. C., & Ho, K. L. (2000). Theory and design of a class of M-channel IIR cosine-modulated filter banks. / IEEE Signal Processing Letters, 7(2), 38鈥?0. CrossRef
  12. Yin, S. S., Chan, S. C., Tsui, K. M., & Xie, X. M. (2008). On the theory and design of a class of PR uniform and recombination nonuniform causal-stable IIR cosine modulated filter banks. / IEEE Transactions on Circuits and Systems II, 55(8), 776鈥?80. CrossRef
  13. Yin, S. S., & Chan, S. C. (2004). The theory and design of a class of perfect reconstruction modified DFT filter banks with IIR filters. In / Proc.MWSCAS鈥?4., vol. 3, pp. iii-203-6, July.
  14. Wu, S. P., Boyd, S., & Vandenberghe, L. (1996). FIR filter design via semidefinite programming and spectral factorization. In / Proc. IEEE DCD鈥?996, vol. 1, pp. 271鈥?76, Dec.
  15. Wu, S. P., Boyd, S., & Vandenberghe, L. FIR filter design via spectral factorization and convex optimization, at URL http://stanford.edu/~boyd/papers/pdf/magdes.pdf.
  16. CVX: maximize stopband attenuation of a lowpass IIR filter. http://cvxr.com/cvx/examples/filter_design/html/iir_mag_design_lowpass_max_atten.html. Accessed 02 Feb 2006.
  17. Quelhas, M. F., Petraglia, A., & Petraglia, M. R. (2012). Linear programming for the design of IIR filters. In / Proc.IEEE LASCAS鈥?012, pp. 1鈥?, Feb.
  18. Jiang, A., & Kwan, H. K. (2010). Minimax design of IIR digital filters using SDP relaxation technique. / IEEE Transactions on Circuits and Systems I, 57(2), 378鈥?90. CrossRef
  19. Lai, X., & Lin, Z. (2012). Minimax phase error design of IIR digital filters with prescribed magnitude and phase responses. / IEEE Transactions on Signal Processing, 60(2), 980鈥?86. CrossRef
  
• 刊物类别：Engineering
• 刊物主题：Electrical Engineering
  Circuits and Systems
  Computer Imaging, Vision, Pattern Recognition and Graphics
  Computer Systems Organization and Communication Networks
  Signal,Image and Speech Processing
  Mathematics of Computing
  
• 出版者：Springer New York
• ISSN：1939-8115

文摘

This paper proposes an efficient method for the design of a class of causal-stable infinite impulse response (IIR) cosine modulated filter banks (CMFBs) and a class of IIR modified discrete Fourier transform filter banks (MDFT FBs) with a very low system delay. Instead of designing the frequency magnitude responses of the IIR prototype filters, the power spectrums of the desired filters are designed so as to reformulate the design problems as a quasi-convex optimization problem which can be solved by CVX software. When the solutions are found, the IIR prototype filters can be obtained by a spectral factorization technique. By using a bisection search, IIR FBs obtained are nearly perfect reconstruction (NPR) and which can be used as effective initial guess to some constrained nonlinear optimizer for further optimization to design perfect reconstruction (PR) IIR FBs with a very low system delay.