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On Chirp and Some Related Signals Analysis: A Brief Review and Some New Results

Author

Listed:
  • Debasis Kundu

    (Indian Institute of Technology Kanpur)

  • Swagata Nandi

    (Indian Statistical Institute Delhi)

Abstract

Chirp signals have played an important role in the statistical signal processing literature. An extensive amount of work has been done in analyzing different one dimensional chirp, two dimensional chirp and some related signal processing models. The main aim of this article is to introduce the challenges associated with these problems to the statistical community with a hope that it will generate enough interests among the statisticians to contribute in this area of research. We provide a comprehensive review of different one dimensional, two dimensional, generalized chirp signals and some related models. We discuss some new chirp signal like models which can be used quite effectively for analyzing real life signals. Several open problems are discussed through out the paper for future research.

Suggested Citation

  • Debasis Kundu & Swagata Nandi, 2021. "On Chirp and Some Related Signals Analysis: A Brief Review and Some New Results," Sankhya A: The Indian Journal of Statistics, Springer;Indian Statistical Institute, vol. 83(2), pages 844-890, August.
    • Handle: RePEc:spr:sankha:v:83:y:2021:i:2:d:10.1007_s13171-021-00242-7
    DOI: 10.1007/s13171-021-00242-7
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    References listed on IDEAS

    as
    1. Swagata Nandi & Debasis Kundu, 2004. "Asymptotic properties of the least squares estimators of the parameters of the chirp signals," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 56(3), pages 529-544, September.
    2. Lahiri, Ananya & Kundu, Debasis & Mitra, Amit, 2015. "Estimating the parameters of multiple chirp signals," Journal of Multivariate Analysis, Elsevier, vol. 139(C), pages 189-206.
    3. Lahiri, Ananya & Kundu, Debasis & Mitra, Amit, 2012. "Efficient algorithm for estimating the parameters of a chirp signal," Journal of Multivariate Analysis, Elsevier, vol. 108(C), pages 15-27.
    4. Martin Pincus, 1968. "Letter to the Editor—-A Closed Form Solution of Certain Programming Problems," Operations Research, INFORMS, vol. 16(3), pages 690-694, June.
    5. Debasis Kundu & Swagata Nandi, 2003. "Determination of Discrete Spectrum in a Random Field," Statistica Neerlandica, Netherlands Society for Statistics and Operations Research, vol. 57(2), pages 258-284, May.
    Full references (including those not matched with items on IDEAS)

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