Paper
16 September 1994 New family of orthonormal transforms with time localizability based on DFT
Kook-Yeon Kwak, Richard A. Haddad
Author Affiliations +
Proceedings Volume 2308, Visual Communications and Image Processing '94; (1994) https://doi.org/10.1117/12.185875
Event: Visual Communications and Image Processing '94, 1994, Chicago, IL, United States
Abstract
The library of orthonormal bases includes Short Time Fourier Transform and Wavelet Transform bases. The widely-used DFT lacks flexibility in dealing with signals possessing a time-varying spectrum. Such signals require a variable time-frequency-localizability feature for adequate resolution. In this paper, we introduce new orthonormal transforms which are constructed from the DFT yet have variable time-frequency-localizability feature and fast computing capability. We create a framework for constructing Time Localization Linear Transform (TLLT) upon the concept that time localizability can be recovered by inverse transform of selected partial collection of forward transform coefficients. By coding the coefficients of TLLT, we can combine the adaptability of Vector Quantization with the speed of linear transform.
© (1994) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Kook-Yeon Kwak and Richard A. Haddad "New family of orthonormal transforms with time localizability based on DFT", Proc. SPIE 2308, Visual Communications and Image Processing '94, (16 September 1994); https://doi.org/10.1117/12.185875
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Cited by 7 scholarly publications.
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KEYWORDS
Transform theory

Time-frequency analysis

Discrete wavelet transforms

Linear filtering

Electronic filtering

Fourier transforms

Optical filters

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