Line spectral analysis for harmonizable processes

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Line spectral analysis for harmonizable processes.

Harmonizable processes with spectral mass concentrated on a number of straight lines are considered. The asymptotic behavior of the bias and covariance of a number of spectral estimates is described. The results generalize those obtained for periodic and almost periodic processes.

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Spectral Analysis for Harmonizable Processes by Keh-shin Lii

Spectral estimation of nonstationary but harmonizable processes is considered. Given a single realization of the process, periodogram-like and consistent estimators are proposed for spectral mass estimation when the spectral support of the process consists of lines. Such a process can arise in signals of a moving source from array data or multipath signals with Doppler stretch from a single rec...

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Almost Periodic Harmonizable Processes

The class of harmonizable processes is a natural extension of the class of stationary processes. This paper provides sufficient conditions for the sample paths of harmonizable processes to be almost periodic uniformly, Stepanov and Besicovitch.

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Locally Harmonizable Covariance: Spectral Analysis Dominique Dehay and Abdelaziz Loughani

In this work, the stationarity of the covariance K2, is replaced by a less restricting notion: the harmonizability in the sense of Loeve [4] (strong harmonizability according to Rao [9]). Then we present the spectral analysis of such covariances which are not necessarily bounded. Remind that a covariance K defined on M. is harmonizable when there exists a complex valued measure M on K such that...

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The harmonizable Piranashvili–type stochastic processes are approximated by finite time shifted average sampling sums. Explicit truncation error upper bounds are established. Various corollaries and special cases are discussed. Submitted: May 7, 2014 Address correspondence to Tibor Pogány, Faculty of Maritime Studies, University of Rijeka, Studentska 2, HR-51000 Rijeka, Croatia; E-mail: poganj@...

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ژورنال

عنوان ژورنال: Proceedings of the National Academy of Sciences

سال: 1998

ISSN: 0027-8424,1091-6490

DOI: 10.1073/pnas.95.9.4800