This paper concerns continuous-time second-order complex improper stochastic processes that satisfy Silverman's condition of local stationarity, which is a generalization of wide-sense stationarity (WSS). We study their spectral relations, proving a necessary condition that is related to a characterizing inequality of the pair of complementary spectral measure and spectral measure in the WSS case.
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Tech Univ Catalonia UPC, Signal Theory & Commun Dept, Barcelona 08034, SpainTech Univ Catalonia UPC, Signal Theory & Commun Dept, Barcelona 08034, Spain
Riba, Jaume
Font-Segura, Josep
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Tech Univ Catalonia UPC, Signal Theory & Commun Dept, Barcelona 08034, SpainTech Univ Catalonia UPC, Signal Theory & Commun Dept, Barcelona 08034, Spain
Font-Segura, Josep
Villares, Javier
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Tech Univ Catalonia UPC, Signal Theory & Commun Dept, Barcelona 08034, SpainTech Univ Catalonia UPC, Signal Theory & Commun Dept, Barcelona 08034, Spain
Villares, Javier
Vazquez, Gregori
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Tech Univ Catalonia UPC, Signal Theory & Commun Dept, Barcelona 08034, SpainTech Univ Catalonia UPC, Signal Theory & Commun Dept, Barcelona 08034, Spain