Time-varying analysis-synthesis systems based on filter banks and post filtering

Perfect reconstruction (PR) time-varying analysis-synthesis filter banks are those in which the filters are allowed to change from one set of PR filter banks to another as the input signal is being processed. Such systems have the property that, in the absence of coding, they faithfully reconstruct every sample of the input. Various methods have been reported for the time-varying filter bank design; all of them, however, utilize structures for conventional PR filter banks. These conventional structures that have been applied in the past result in different limitations in each method. This paper introduces a new structure for exactly reconstructing time-varying analysis-synthesis filter banks. This structure consists of the conventional filter bank followed by a time-varying post filter. The new method requires neither the redesign of the analysis sections nor the use of any intermediate analysis filters during transition periods. It provides a simple and elegant procedure for designing time-varying filter banks without the disadvantages of the previous methods.

[1]  Martin Vetterli,et al.  Orthogonal time-varying filter banks and wavelets , 1993, 1993 IEEE International Symposium on Circuits and Systems.

[2]  Mark J. T. Smith,et al.  A new approach to time-varying FIR filter banks , 1993, Proceedings of 27th Asilomar Conference on Signals, Systems and Computers.

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

[4]  Mark J. T. Smith,et al.  Analysis-synthesis systems with time-varying filter bank structures , 1992, [Proceedings] ICASSP-92: 1992 IEEE International Conference on Acoustics, Speech, and Signal Processing.

[5]  T. Barnwell.  Subband coder design incorporating recursive quadrature filters and optimum ADPCM coders , 1982 .

[6]  Thomas P. Barnwell,et al.  The wavelet transform and time-varying tiling of the time-frequency plane , 1992, [1992] Proceedings of the IEEE-SP International Symposium on Time-Frequency and Time-Scale Analysis.

[7]  P. P. Vaidyanathan,et al.  Time-reversed inversion for time-varying filter banks , 1993, Proceedings of 27th Asilomar Conference on Signals, Systems and Computers.

[8]  Mark J. T. Smith,et al.  A novel structure for time-varying FIR filter banks , 1994, Proceedings of ICASSP '94. IEEE International Conference on Acoustics, Speech and Signal Processing.

[9]  John W. Woods,et al.  Subband coding of images , 1986, IEEE Trans. Acoust. Speech Signal Process..

[10]  Jan P. Allebach,et al.  The analysis and design of multidimensional FIR perfect reconstruction filter banks for arbitrary sampling lattices , 1991 .

[11]  Truong Q. Nguyen.  A quadratic-constrained least-squares approach to the design of digital filter banks , 1992, [Proceedings] 1992 IEEE International Symposium on Circuits and Systems.

[12]  Mark J. T. Smith,et al.  Exact reconstruction analysis/synthesis filter banks with time-varying filters , 1993, 1993 IEEE International Conference on Acoustics, Speech, and Signal Processing.

[13]  R. H. Bamberger,et al.  A theoretical framework for the analysis and design of size-limited multirate filter banks , 1992, [1992] Proceedings of the IEEE-SP International Symposium on Time-Frequency and Time-Scale Analysis.

[14]  K Ramchandran,et al.  Best wavelet packet bases in a rate-distortion sense , 1993, IEEE Trans. Image Process..

[15]  Thomas P. Barnwell,et al.  Time-varying filter banks and wavelets , 1994, IEEE Trans. Signal Process..

[16]  Mark J. T. Smith,et al.  Time-domain filter bank analysis: a new design theory , 1992, IEEE Trans. Signal Process..

[17]  Veyis Nuri,et al.  A theory of size-limited filter banks , 1993, 1993 IEEE International Conference on Acoustics, Speech, and Signal Processing.

[18]  Ricardo L. de Queiroz,et al.  Adaptive extended lapped transforms , 1993, 1993 IEEE International Conference on Acoustics, Speech, and Signal Processing.

[19]  Henrique S. Malvar,et al.  Signal processing with lapped transforms , 1992 .

[20]  Ronald R. Coifman,et al.  Entropy-based algorithms for best basis selection , 1992, IEEE Trans. Inf. Theory.

[21]  Thomas P. Barnwell,et al.  Perfect reconstructional multidimensional filter banks with time-varying basis functions , 1993, Proceedings of 27th Asilomar Conference on Signals, Systems and Computers.

[22]  Ali N. Akansu,et al.  On-signal decomposition techniques , 1991 .

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

[24]  Thomas P. Barnwell,et al.  A class of time-varying wavelet transforms , 1993, 1993 IEEE International Conference on Acoustics, Speech, and Signal Processing.