On the consistency of non-parametric estimation of the spatial spectrum

A. Ephraty, J. Tabrikian, H. Messer

Research output: Contribution to conferencePaperpeer-review

1 Scopus citations

Abstract

The problem of estimating the spectra of a stochastic tempo-spatial field is of considerable interest, owing to their numerous applications in many fields. Indeed a wide selection of estimators are described in the literature, ranging from the classical to the advanced and sophisticated. In this paper we investigate the statistics of the straight-forward, classical, non-parametric spatial spectrum estimator. We show that if the field is temporally-ergodic, then the spatial spectrum estimator can be made consistent by employing appropriate temporal averaging. This result is particularly interesting in light of the well-known fact that the analogous, classical temporal spectrum estimator, is inherently inconsistent.

Original languageEnglish
Pages247-250
Number of pages4
StatePublished - 1 Dec 1996
Externally publishedYes
EventProceedings of the 1996 19th Convention of Electrical and Electronics Engineers in Israel - Jerusalem, Isr
Duration: 5 Nov 19966 Nov 1996

Conference

ConferenceProceedings of the 1996 19th Convention of Electrical and Electronics Engineers in Israel
CityJerusalem, Isr
Period5/11/966/11/96

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