Designing boundary filters for a biorthogonal filter bank

Details Designing boundary filters for a biorthogonal filter bank Designing boundary filters for a biorthogonal filter bank

2006-06-13

2006-06-13

{hacek over (S)}mits, Talivaldis Ivars (Department: 2654)

Data processing: speech signal processing, linguistics, language

Speech signal processing

Psychoacoustic

C704S204000, C704S205000, C704S500000, C708S300000

Reexamination Certificate

active

07062430

ABSTRACT:
A signal processing device includes a biorthogonal filter bank that processes a finite length signal including a left boundary and a right boundary. The biorthogonal filter bank includes an analysis filter bank. The analysis filter bank includes one or more left boundary filters, one or more right boundary filters, and one or more steady-state analysis filters. Each left boundary filter and each right boundary filter includes a row vector. The left and right boundary filters have been designed by generating, from the steady-state analysis filters, an analysis matrix representing the analysis filter bank, multiplying the analysis matrix by a permutation matrix to generate a permutated analysis matrix, truncating the permutated analysis matrix to a degree to generate a rectangular truncated analysis matrix, and selecting a number of left boundary filters and a number of right boundary filters such that, when the row vectors corresponding to the number of left boundary filters and the number of right boundary filters are added to the truncated analysis matrix, the truncated analysis matrix becomes square. Each row vector added to the truncated analysis matrix lies outside a row space of the truncated analysis matrix such that a row vector specifies a permissible design for a boundary filter. The biorthogonal filter bank also includes a synthesis filter bank corresponding to the analysis filter bank. The synthesis filter bank includes a number of left boundary filters, a number of right boundary filters, and a number of steady-state synthesis filters. A synthesis matrix specifies the left boundary filters, right boundary filters, and steady-state synthesis filters of the synthesis filter bank. The synthesis matrix has been created by calculating the dual, or inverse, of the square analysis matrix.

REFERENCES:
Zhang, X; Yoshikawa, T., “Design of Two Channel IIR Linear Phase PR Filter Banks,” Oct. 1998, ICSP '98, 1998 Fourth International Conference on Signal Processing., vol. 1, pp. 11-14.
Okuda, M.; Ikehara, M.; Takahashi, S.; “Design of Biorthogonal Filter Banks Composed of Linear Phase IIR Filters,” May 1998, ICASSP '98., Proceedings of the 1998 IEEE International Conference on Acoustics, Speech, and Signal Processing., vol. 3, pp. 1453-1456.
Lu, S.; Antinou, A.; “Optimal Design of Two-Channel Biorthogonal Filter Banks,” 2000, Eusipco, pp. 1-4.
Robert Bristow-Johnson,Wavetable Synthesis 101, A Fundamental Perspective, pp. 1-23, Nov. 1996, http://www.harmony-central.com/Synth/Articles/Wavetable—101/Wavetable-101.pdf.
Ahmed H. Tewif & Murtaza Ali,Enhanced Wavelet Based Audio Coder, pp. 1-5, 1993, http://citeseer.nj.nec.com/cache/papers/cs/2258/ftp;zSzzSzftp.ee.umn.eduzSzpubzSztewfikzSz1993zSzaudiozSzaudio—asilomar93.pdf/tewfik93enhanced.pdf.
N. Ruiz Reyes et al.,A New Cost Function to Select the Wavelet Decomposition for Audio Compression, pp. 1-4, Jun. 15, 2000, http://www.es.isy.liu.se
orsig2000/publ/page331—id089.pdf.
Fernando Mujica et al.,A Simple Wavelet Based Perceptual Audio Coder, pp. 1933-1937, 1996, http://www.icspat.com/papers/481mfi.pdf.
James D. Johnston,Estimation of Perceptual Entropy Using Noise Masking Criteria, pp. 2524-2527, 1988 Proc. ICASSP 1988.
Pramila Srinivasan & Leah H. Jamieson,High Quality Audio Compression Using an Adaptive Wavelet Packet Decomposition and Psychoacoustic Modelling, pp. 100-108, 1999, IEEE Transactions on Signal Processing.
Ted Painter & Andreas Spanias et al.,Perceptual Coding of Digital Audio, pp. 1-66, Apr. 2000, http://www.eas.asu.edu/˜spanias/papers/paper-audio-tedspanias-00.pdf.
Cormac Herley,Boundary Filters for Finite-Length Signals and Time-Varying Filter Banks, pp. 1-35, Mar. 24, 1994, IEEE Transacations on Circuits and Systems II.
Cormac Herley et al.,Tilings of the Time-Frequency Plane: Construction of Arbitrary Orthogonal Bases and Fast Tiling Algorithms, pp. 3341-3359, Dec. 1993, IEEE Transactions on Signal Processing.
Joao Silvestre & Luis de Sa,Signal Extensions in Perfect Reconstruction Filter Banks, Nov. 19, 1999, http://www.it.uc.pt/si/sipub/js96cp01.pdf.
Alfred Mertins,Boundary Filters for Segmentation-Based Subband Coding, pp. 151-154, Aug. 2000, 5th International Conference on Signal Processing Proceedings.
Alfred Mertins,Boundary Filters for Size-Limited Paraunitary Filter Banks with Maximum Coding Gain and Ideal DC Behavior, pp. 183-188, Feb. 2001, IEEE Transactions on Circuits and Systems—II: Analog and Digital Signal Processing.
Alfred Mertins & King N. Ngan,Optimized Shape Adaptive Wavelets with Reduced Computational Cost, pp. 616-620, Nov. 1998, Proc. ISPACS 1998, Melbourne, VIC, Australia.
Alfried Mertins,Time-Varying and Support Perservative Filter Banks: Design of Optimal Transition and Boundary Filters Via SVD, pp. 1316-1319, May 1995, Proc. ICASSP'95, Detroit, USA.
Alfred Mertins,Optimized Biorthogonal Shape Adaptive Wavelets, pp. 673-677, Oct. 1998, Proc. ICIP'98, Chicago, USA.

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