Symbolic analysis of time series signals using generalized hilbert transform

Soumik Sarkar, Kushal Mukherjee, Asok Ray

    Research output: Chapter in Book/Report/Conference proceedingConference contribution

    1 Citation (Scopus)

    Abstract

    A recent publication has shown a Hilbert-transform-based partitioning method, called analytic signal space partitioning (ASSP). When used in conjunction with DMarkov machines, also reported in recent literature, ASSP provides a fast tool for pattern recognition. However, Hilbert transform does not specifically address the issue of noise reduction and the usage of D-Markov machines with a small depth D could potentially lead to information loss for noisy signals. On the other hand, a large D tends to make execution of pattern recognition computationally less efficient due to an increased number of machine states. This paper explores generalization of Hilbert transform that addresses symbolic analysis of noisecorrupted dynamical systems. In this context, theoretical results are derived based on the concepts of information theory. These results are validated on time series data, generated from a laboratory apparatus of nonlinear electronic systems.

    Original languageEnglish (US)
    Title of host publication2009 American Control Conference, ACC 2009
    Pages5422-5427
    Number of pages6
    DOIs
    StatePublished - Nov 23 2009
    Event2009 American Control Conference, ACC 2009 - St. Louis, MO, United States
    Duration: Jun 10 2009Jun 12 2009

    Publication series

    NameProceedings of the American Control Conference
    ISSN (Print)0743-1619

    Other

    Other2009 American Control Conference, ACC 2009
    CountryUnited States
    CitySt. Louis, MO
    Period6/10/096/12/09

    Fingerprint

    Pattern recognition
    Time series
    Information theory
    Noise abatement
    Dynamical systems
    Mathematical transformations

    All Science Journal Classification (ASJC) codes

    • Electrical and Electronic Engineering

    Cite this

    Sarkar, S., Mukherjee, K., & Ray, A. (2009). Symbolic analysis of time series signals using generalized hilbert transform. In 2009 American Control Conference, ACC 2009 (pp. 5422-5427). [5159908] (Proceedings of the American Control Conference). https://doi.org/10.1109/ACC.2009.5159908
    Sarkar, Soumik ; Mukherjee, Kushal ; Ray, Asok. / Symbolic analysis of time series signals using generalized hilbert transform. 2009 American Control Conference, ACC 2009. 2009. pp. 5422-5427 (Proceedings of the American Control Conference).
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    abstract = "A recent publication has shown a Hilbert-transform-based partitioning method, called analytic signal space partitioning (ASSP). When used in conjunction with DMarkov machines, also reported in recent literature, ASSP provides a fast tool for pattern recognition. However, Hilbert transform does not specifically address the issue of noise reduction and the usage of D-Markov machines with a small depth D could potentially lead to information loss for noisy signals. On the other hand, a large D tends to make execution of pattern recognition computationally less efficient due to an increased number of machine states. This paper explores generalization of Hilbert transform that addresses symbolic analysis of noisecorrupted dynamical systems. In this context, theoretical results are derived based on the concepts of information theory. These results are validated on time series data, generated from a laboratory apparatus of nonlinear electronic systems.",
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    Sarkar, S, Mukherjee, K & Ray, A 2009, Symbolic analysis of time series signals using generalized hilbert transform. in 2009 American Control Conference, ACC 2009., 5159908, Proceedings of the American Control Conference, pp. 5422-5427, 2009 American Control Conference, ACC 2009, St. Louis, MO, United States, 6/10/09. https://doi.org/10.1109/ACC.2009.5159908

    Symbolic analysis of time series signals using generalized hilbert transform. / Sarkar, Soumik; Mukherjee, Kushal; Ray, Asok.

    2009 American Control Conference, ACC 2009. 2009. p. 5422-5427 5159908 (Proceedings of the American Control Conference).

    Research output: Chapter in Book/Report/Conference proceedingConference contribution

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    Sarkar S, Mukherjee K, Ray A. Symbolic analysis of time series signals using generalized hilbert transform. In 2009 American Control Conference, ACC 2009. 2009. p. 5422-5427. 5159908. (Proceedings of the American Control Conference). https://doi.org/10.1109/ACC.2009.5159908