TY - GEN

T1 - Arbitrary orthogonal tilings of the time-frequency plane

AU - Herley, C.

AU - Kovacevic, J.

AU - Ramchandran, K.

AU - Vetterli, M.

N1 - Publisher Copyright:
© 1992 IEEE.
Copyright:
Copyright 2020 Elsevier B.V., All rights reserved.

PY - 1992

Y1 - 1992

N2 - In this paper we consider expansions which give arbitrary orthonormal tilings of the time-frequency plane. These differ from the short-time Fourier transform, wavelet transform, and wavelet packets tilings in that they change over time. We show how this can be achieved using time-varying orthogonal tree structures, which preserve orthogonality, even across transitions. One method is based on lapped orthogonal transforms, which makes it possible to change the number of channels in the transform. A second method is based on the construction of boundary filters, and gives arbitrary tilings. We present an algorithm which for a given signal decides on the best binary segmentation, and which tree split to use for each segment, and is optimal in a ratedistortion sense. We present the results of experiments on test signals.

AB - In this paper we consider expansions which give arbitrary orthonormal tilings of the time-frequency plane. These differ from the short-time Fourier transform, wavelet transform, and wavelet packets tilings in that they change over time. We show how this can be achieved using time-varying orthogonal tree structures, which preserve orthogonality, even across transitions. One method is based on lapped orthogonal transforms, which makes it possible to change the number of channels in the transform. A second method is based on the construction of boundary filters, and gives arbitrary tilings. We present an algorithm which for a given signal decides on the best binary segmentation, and which tree split to use for each segment, and is optimal in a ratedistortion sense. We present the results of experiments on test signals.

UR - http://www.scopus.com/inward/record.url?scp=85027663119&partnerID=8YFLogxK

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U2 - 10.1109/TFTSA.1992.274244

DO - 10.1109/TFTSA.1992.274244

M3 - Conference contribution

AN - SCOPUS:85027663119

T3 - Proceedings of the IEEE-SP International Symposium on Time-Frequency and Time-Scale Analysis

SP - 11

EP - 14

BT - Proceedings of the IEEE-SP International Symposium on Time-Frequency and Time-Scale Analysis

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 1992 IEEE-SP International Symposium on Time-Frequency and Time-Scale Analysis

Y2 - 4 October 1992 through 6 October 1992

ER -