Analysis of dyadic stationary processes using the generalized Walsh functions
type: Item
instance of: scholarly article
title: Analysis of dyadic stationary processes using the generalized Walsh functions
zbMATH Open document ID: 0551.60040
author: Yasushi Endow
published in: Tôhoku Mathematical Journal. Second Series
publication date: 1984-01-01T00:00:00Z
review text: A harmonizability condition for dyadic stationary processes in terms of the generalized Walsh functions is derived. The Walsh-harmonizable representation plays an important role in the analysis of such processes; laws of large numbers, sampling theorem, and the relationship between the dyadic stationary processes with spectral densities and linear dyadic processes. The representation also shows the possibility of the parallel discussions on the dyadic stationary processes to the ordinary (time invariant) stationary processes.
Mathematics Subject Classification ID: 60G10
zbMATH DE Number: 3878079
zbMATH Keywords: Walsh-harmonizable representation
zbMATH Keywords: laws of large numbers
zbMATH Keywords: sampling theorem
zbMATH Keywords: dyadic processes
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.2748/tmj/1178228758
OpenAlex ID: W2128163188
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DOI: 10.2748/TMJ/1178228758
description: scientific article; zbMATH DE number 3878079