Title
Multi-Frequency Co-Prime Arrays for High-Resolution Direction-of-Arrival Estimation
Abstract
This paper presents multi-frequency operation for increasing the number of resolvable sources in high-resolution direction-of-arrival (DOA) estimation using co-prime arrays. A single-frequency operation requires complicated and involved matrix completion to utilize the full extent of the degrees of freedom (DOFs) offered by the co-prime configuration. This processing complexity is attributed to the missing elements in the corresponding difference coarray. Alternate single-frequency schemes avoid such complexity by utilizing only the filled part of the coarray and, thus, cannot exploit all of the DOFs for DOA estimation. We utilize multiple frequencies to fill the missing coarray elements, thereby enabling the co-prime array to effectively utilize all of the offered DOFs. The sources are assumed to have a sufficient bandwidth to cover all the required operational frequencies. We consider both cases of sources with proportional and nonproportional power spectra at the employed frequencies. The former permits the use of multi-frequency measurements at the co-prime array to construct a virtual covariance matrix corresponding to a filled uniformly spaced coarray at a single frequency. This virtual covariance matrix can be employed for DOA estimation. The nonproportionality of the source spectra casts a more challenging situation, as it is not amenable to producing the same effect as that of an equivalent single-frequency filled coarray. Performance evaluation of the multi-frequency approach based on computer simulations is provided under both cases of proportional and nonproportional source spectra.
Year
DOI
Venue
2015
10.1109/TSP.2015.2432734
Signal Processing, IEEE Transactions
Keywords
Field
DocType
co-prime arrays,doa estimation,augmented matrices,coarray,multiple frequencies,estimation,degrees of freedom
Mathematical optimization,Matrix completion,Direction of arrival,Bandwidth (signal processing),Covariance matrix,Coprime integers,Mathematics
Journal
Volume
Issue
ISSN
63
14
1053-587X
Citations 
PageRank 
References 
14
0.69
17
Authors
4
Name
Order
Citations
PageRank
Elie BouDaher1140.69
Yong Jia2140.69
Fauzia Ahmad365164.26
Moeness Amin42909287.79