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