IDEAS home Printed from https://ideas.repec.org/a/spr/sankha/v83y2021i2d10.1007_s13171-021-00242-7.html
   My bibliography  Save this article

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
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s13171-021-00242-7
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.
    File URL: https://libkey.io/10.1007/s13171-021-00242-7?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. 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.
    2. 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.
    3. 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.
    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)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Tahir Ekin & Stephen Walker & Paul Damien, 2023. "Augmented simulation methods for discrete stochastic optimization with recourse," Annals of Operations Research, Springer, vol. 320(2), pages 771-793, January.
    2. Grover, Rhythm & Kundu, Debasis & Mitra, Amit, 2018. "Approximate least squares estimators of a two-dimensional chirp model and their asymptotic properties," Journal of Multivariate Analysis, Elsevier, vol. 168(C), pages 211-220.
    3. Shukla, Abhinek & Grover, Rhythm & Kundu, Debasis & Mitra, Amit, 2022. "Approximate least squares estimators of a two-dimensional chirp model," Journal of Multivariate Analysis, Elsevier, vol. 192(C).
    4. Mike G. Tsionas, 2021. "Multi-criteria optimization in regression," Annals of Operations Research, Springer, vol. 306(1), pages 7-25, November.
    5. Tahir Ekin & Nicholas G. Polson & Refik Soyer, 2017. "Augmented nested sampling for stochastic programs with recourse and endogenous uncertainty," Naval Research Logistics (NRL), John Wiley & Sons, vol. 64(8), pages 613-627, December.
    6. Simone Cerreia-Vioglio & Fabio Maccheroni & Massimo Marinacci, 2019. "A Characterization of Probabilities with Full Support and the Laplace Method," Journal of Optimization Theory and Applications, Springer, vol. 181(2), pages 470-478, May.
    7. 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.
    8. 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.
    9. Tahir Ekin & Nicholas G. Polson & Refik Soyer, 2014. "Augmented Markov Chain Monte Carlo Simulation for Two-Stage Stochastic Programs with Recourse," Decision Analysis, INFORMS, vol. 11(4), pages 250-264, December.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:spr:sankha:v:83:y:2021:i:2:d:10.1007_s13171-021-00242-7. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.