A new method for estimating the number of harmonic components in noise with application in high resolution radar
type: Item
instance of: scholarly article
title: A new method for estimating the number of harmonic components in noise with application in high resolution radar
zbMATH Open document ID: 1066.94513
DOI: 10.1155/S1110865704401097
author: André Quinquis
author: Emanuel Rădoi
published in: EURASIP Journal on Applied Signal Processing
publication date: 2005-05-03T00:00:00Z
review text: Summary: In order to operate properly, the superresolution methods based on orthogonal subspace decomposition, such as multiple signal classification (MUSIC) or estimation of signal parameters by rotational invariance techniques (ESPRIT), need accurate estimation of the signal subspace dimension, that is, of the number of harmonic components that are superimposed and corrupted by noise. This estimation is particularly difficult when the S/N ratio is low and the statistical properties of the noise are unknown. Moreover, in some applications such as radar imagery, it is very important to avoid underestimation of the number of harmonic components which are associated to the target scattering centers. In this paper, we propose an effective method for the estimation of the signal subspace dimension which is able to operate against colored noise with performances superior to those exhibited by the classical information theoretic criteria of \textit{H. Akaike} [IEEE Trans Autom. Control 19, 716--723 (1974; Zbl 0314.62039)] and \textit{J. Rissanen} [Automatica 14, 465--471 (1978; Zbl 0418.93079)]. The capabilities of the new method are demonstrated through computer simulations and it is proved that compared to three other methods it carries out the best trade-off from four points of view, S/N ratio in white noise, frequency band of colored noise, dynamic range of the harmonic component amplitudes, and computing time.
Mathematics Subject Classification ID: 94A12
Mathematics Subject Classification ID: 62M10
Mathematics Subject Classification ID: 62M20
zbMATH DE Number: 2163855
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 2163855