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26 October 2004 Toward a theory of information processing on the time-frequency plane
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Abstract
Information processing theory aims to quantify how well signals encode information and how well systems process information. Time-frequency distributions have been used to represent the energy distribution of time-varying signals for the past twenty years. There has been a lot of research on various properties of these representations. However, there is a general lack of quantitative analysis in describing the amount of information encoded into a time-frequency distribution. This paper aims to quantify how well time-frequency distributions represent information by using information-theoretic distance measures. Different distance measures, such as Kullback-Leibler distance, R\'{e}nyi distance, will be adapted to the time-frequency plane. Their performance in quantifying the information in a given signal will be compared. A sensitivity analysis for different distance measures will be carried out to assess their robustness under perturbation. Different example signals will be considered for illustrating the information processing in time-frequency distributions.
© (2004) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Selin Aviyente "Toward a theory of information processing on the time-frequency plane", Proc. SPIE 5559, Advanced Signal Processing Algorithms, Architectures, and Implementations XIV, (26 October 2004); https://doi.org/10.1117/12.559574
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