Strongly consistent model order selection for estimating 2-D sinusoids in colored noise

Mark Kliger, Joseph M. Francos

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

The problem of jointly estimating the number as well as the parameters of 2-D sinusoidal signals, observed in the presence of an additive colored noise field, is considered. We begin by establishing the strong consistency of the nonlinear least squares estimator of the parameters of 2-D sinusoids, when the number of sinusoidal signals assumed in the field is incorrect. Based on these results, we prove the strong consistency of a new family of model order selection rules.

Original languageEnglish
Article number6471234
Pages (from-to)4408-4422
Number of pages15
JournalIEEE Transactions on Information Theory
Volume59
Issue number7
DOIs
StatePublished - 15 Jul 2013

Keywords

  • Least squares estimation
  • model order selection
  • strong consistency
  • two-dimensional random fields

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