Journal
IEEE TRANSACTIONS ON SIGNAL PROCESSING
Volume 57, Issue 3, Pages 868-877Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TSP.2008.2009892
Keywords
Ambiguity domain; Claasen-Mecklenbrauker; covariance function estimation; discrete-time discrete-frequency; Jeong-Williams; nonstationary random processes; Nuttall; time-frequency analysis
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Funding
- Swedish Research Council
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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-Mecklenbrauker, the Jeong-Williams, and the Nuttall definitions. For the first time, we prove their equivalence within some necessary
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