Lookup NU author(s): Professor Emilio Porcu
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© 2018, © 2018 American Statistical Association, Institute of Mathematical Statistics, and Interface Foundation of North America. This article is concerned with the study of the embedding circulant matrix method to simulate stationary complex-valued Gaussian sequences. The method is, in particular, shown to be well-suited to generate circularly symmetric stationary Gaussian processes. We provide simple conditions on the complex covariance function ensuring the theoretical validity of the minimal embedding circulant matrix method. We show that these conditions are satisfied by many examples and illustrate the simulation algorithm. In particular, we present a simulation study involving the circularly symmetric fractional Gaussian noise, a model introduced in this article. Supplementary material for this article is available online.
Author(s): Coeurjolly J-F, Porcu E
Publication type: Article
Publication status: Published
Journal: Journal of Computational and Graphical Statistics
Online publication date: 04/10/2017
Acceptance date: 02/04/2016
ISSN (print): 1061-8600
ISSN (electronic): 1537-2715
Publisher: American Statistical Association
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