Paper Info
Title
Matrix pencil method for simultaneously estimating azimuth and elevation angles of arrival along with the frequency of the incoming signals
Abstract
In this paper we describe a method for simultaneously estimating the direction of arrival (DOA) of the signal along with its unknown frequency. In a typical DOA estimation problem it is often assumed that all the signals are arriving at the antenna array at the same frequency which is assumed to be known. The antenna elements in the array are then placed half wavelength apart at the frequency of operation. However, in practice seldom all the signals arrive at the antenna array at a single pre-specified frequency, but at different frequencies. The question then is what to do when there are signals at multiple frequencies, which are unknown. This paper presents an extension of the matrix pencil method to simultaneously estimate the DOA along with the operating frequency of each of the signals. This novel approach involves approximating the voltages that are induced in a three-dimensional antenna array, by a sum of complex exponentials by jointly estimating the direction of arrival (both azimuth and elevation angles) along with the carrier frequencies of multiple far-field sources impinging on the array by using the three-dimensional matrix pencil method. The matrix pencil method is a direct data domain method for approximating a function by a sum of complex exponentials in the presence of noise. The variances of the estimates computed by the matrix pencil method are quite close to the Cramer-Rao bound. Finally, we illustrate how to carry out the broadband DOA estimation procedure using realistic antenna elements located in a conformal array. Some numerical examples are presented to illustrate the applicability of this methodology in the presence of noise. It is shown that the variance decreases as the SNR increases. The Cramer-Rao bound for the estimators are also provided to illustrate the accuracy and the computational efficiency of this new methodology.
Year
DOI
Venue
2006
10.1016/j.dsp.2006.05.009
Digital Signal Processing
Keywords
Field
DocType
elevation angle,matrix pencil method,broadband doa estimation,complex exponential,estimation of frequency,elevation angles and frequency estimation,incoming signal,wavelength estimation,3-d matrix pencil method,conformal array,doa estimation,direction of arrival estimation,three-dimensional antenna array,angle of arrival estimation,direct data domain method,carrier frequency,different frequency,antenna array,simultaneous azimuth,three-dimensional matrix pencil method,antenna element,matrix pencil,cramer rao bound,direction of arrival,angle of arrival,three dimensional
Mathematical optimization,Exponential function,Matrix pencil,Direction of arrival,Sensor array,Antenna array,Azimuth,Conformal antenna,Mathematics,Estimator
Journal
Volume
Issue
ISSN
16
6
Digital Signal Processing
Citations 
PageRank 
References 
9
0.72
3
Authors
3
Name
Order
Citations
PageRank
Nuri Yilmazer1508.01
Raul Fernandez-Recio2192.33
Sarkar, T.K.3471117.33