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A Comparison Between Different Discrete Ambiguity Domain Definitions in Stochastic Time-Frequency Analysis

Author

Summary, in English

The ambiguity domain plays a central role in estimating the time-varying spectrum and in estimating the covariance function of nonstationary random processes in continuous time. For processes in discrete time, there exist different definitions of the ambiguity domain, but it is well known that neither of these definitions perfectly resembles the usefulness of the continuous ambiguity domain. In this paper, we present some of the most frequently used definitions of the ambiguity domain in discrete time: the Claasen-MecklenbrÄuker, the Jeong-Williams, and the Nuttall definitions. For the first time, we prove their equivalence within some necessary conditions and we present theorems that justify their usage.

Department/s

Publishing year

2009

Language

English

Pages

868-877

Publication/Series

IEEE Transactions on Signal Processing

Volume

57

Issue

3

Document type

Journal article

Publisher

IEEE - Institute of Electrical and Electronics Engineers Inc.

Topic

  • Probability Theory and Statistics

Keywords

  • Ambiguity domain
  • covariance function estimation
  • Claasen-Mecklenbräuker
  • discrete-time discrete-frequency
  • Nuttall
  • Jeong–Williams
  • nonstationary random processes
  • time-frequency analysis

Status

Published

Research group

  • Statistical Signal Processing Group

ISBN/ISSN/Other

  • ISSN: 1053-587X