NDLI: Detection-estimation of more uncorrelated sources than sensors in noninteger sparse linear antenna arrays

Content Provider	IEEE Xplore Digital Library
Author	Abramovich, Y.I. Spencer, N.K.
Copyright Year	2000
Description	Author affiliation: CSSIP, Mawson Lakes, SA, Australia (Abramovich, Y.I.)
Abstract	We introduce a new approach for the detection-estimation problem for sparse linear antenna arrays comprising M identical sensors whose positions may be noninteger values (expressed in half-wavelength units). This approach considers the (noninteger) M/sub /spl alpha//-element co-array as the most appropriate virtual array to be used in connection with the augmented covariance matrix. Since the covariance matrix derived from such virtual arrays is usually very underspecified, we discuss a maximum-likelihood (ML) completion philosophy to fill in the missing elements of the partially specified Hermitian covariance matrix. Next, a transformation of the resulting unstructured ML matrix results in a sequence of properly structured positive-definite Hermitian matrices, each with their (M/sub /spl alpha//-/spl mu/) smallest eigenvalues being equal, appropriate for the candidate number of sources /spl mu/. For each candidate model (/spl mu/=1 to M/sub /spl alpha//-1), we then find the set of directions-of-arrival (DOAs) and powers that yield the minimum fitting error for the specified covariance lags in the neighbourhood of the MUSIC-initialised DOAs. Finally, these models describe a hypothesis with respect to the actual number of sources, and allow us to select the "best" hypothesis using traditional information criteria (AIC, MDL, MAP, etc.) that are based on the likelihood ratio.
Starting Page	99
Ending Page	103
File Size	470209
Page Count	5
File Format	PDF
ISBN	0780359887
DOI	10.1109/SSAP.2000.870090
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2000-08-16
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Sensor arrays Covariance matrix Linear antenna arrays Eigenvalues and eigenfunctions Signal processing Australia White noise Information processing Lakes Maximum likelihood detection
Content Type	Text
Resource Type	Article

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