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

Debasis Kundu () and Swagata Nandi
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Debasis Kundu: Indian Institute of Technology Kanpur
Swagata Nandi: Indian Statistical Institute Delhi

Sankhya A: The Indian Journal of Statistics, 2021, vol. 83, issue 2, No 13, 844-890

Abstract: 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.

Keywords: Chirp signals; Sinusoidal signals; Periodogram function; Maximum likelihood estimators; MCMC model; Least squares estimators; Consistency; Asymptotic normality.; 62F10; 62F03; 62H12 (search for similar items in EconPapers)
Date: 2021
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DOI: 10.1007/s13171-021-00242-7

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