Adaptive extended lapped transforms

The perfect reconstruction conditions for a time-varying lapped transform are presented. Emphasis is placed on a class of cosine modulated filter banks known as the extended lapped transforms. A mechanism for achieving this error-free variation through the factorization of the transform matrix into sparse factors is presented along with a discussion of transition states. Some possible applications are indicated, including a structure for perfect reconstruction orthogonal time-varying wavelet packets.<<ETX>>

[1]  M. Vetterli,et al.  Arbitrary orthogonal tilings of the time-frequency plane , 1992, [1992] Proceedings of the IEEE-SP International Symposium on Time-Frequency and Time-Scale Analysis.

[2]  P. Yip,et al.  Discrete Cosine Transform: Algorithms, Advantages, Applications , 1990 .

[3]  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.

[4]  P. P. Vaidyanathan,et al.  Multirate digital filters, filter banks, polyphase networks, and applications: a tutorial , 1990, Proc. IEEE.

[5]  Martin Vetterli,et al.  Perfect reconstruction FIR filter banks: some properties and factorizations , 1989, IEEE Trans. Acoust. Speech Signal Process..

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

[7]  Truong Q. Nguyen,et al.  General synthesis procedures for FIR lossless transfer matrices, for perfect-reconstruction multirate filter bank applications , 1988, IEEE Trans. Acoust. Speech Signal Process..

[8]  R. L. de Queiroz,et al.  Structure for time-varying paraunitary filter banks with perfect reconstruction , 1993 .

[9]  Henrique S. Malvar Extended lapped transforms: fast algorithms and applications , 1991, [Proceedings] ICASSP 91: 1991 International Conference on Acoustics, Speech, and Signal Processing.

[10]  R. L. de Queiroz,et al.  On adaptive wavelet packets , 1993, 1993 IEEE International Symposium on Circuits and Systems.