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Teoriya Veroyatnostei i ee Primeneniya, 2007, Volume 52, Issue 2, Pages 398–405
DOI: https://doi.org/10.4213/tvp184 (Mi tvp184) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Short Communications

On spectral domain of periodically correlated processes

A. Makagona, A. Miameea, H. Salehib, A. Soltanic

a Hampton University
b Michigan State University
c Kuwait University
Full-text PDF (946 kB) Citations (3)
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DOI: https://doi.org/10.4213/tvp184
Abstract: The content of this article primarily falls into three sections. Section 1 deals with a basic structural spectral representation theorem for periodically correlated sequences. Section 2 provides a certain class of square integrable functions that is isomorphic to the time domain of the sequence. This complete class is called the spectral domain of the sequence. Section 3 is related to the unsuccessful previous attempts by others to construct a complete function space as the spectral domain. These are natural extensions of the known results for the stationary case to the periodically correlated sequences.
Keywords: spectral domain, periodically correlated sequence, completeness.
Received: 09.03.2002
Revised: 29.07.2004
English version:
Theory of Probability and its Applications, 2008, Volume 52, Issue 2, Pages 353–361
DOI: https://doi.org/10.1137/S0040585X97983080
Bibliographic databases:
Document Type: Article
Language: English
Citation: A. Makagon, A. Miamee, H. Salehi, A. Soltani, “On spectral domain of periodically correlated processes”, Teor. Veroyatnost. i Primenen., 52:2 (2007), 398–405; Theory Probab. Appl., 52:2 (2008), 353–361
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/tvp/v52/i2/p398
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теория вероятностей и ее применения Theory of Probability and its Applications
     
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