EXTENSION OF THE PISARENKO METHOD TO SPARSE LINEAR ARRAYS. - Acoustics, Speech, and Signal Processing, 1995. ICASSP-95., 1995 International Conference on

When applied to array processing, the Pisarenko harmonic retrieval method is limited to linear equispaced arrays. We present an approach that allows to extend it to general arrays. For the ease of exposition, we consider only sparse linear arrays. Though limited in generality, these arrays already permit to localize up to N(N 1)/2 narrow-band sources with N-sensors. We actually show that the Pisarenko approach can be seen as a deconvolution or modelfitting approach that minimizes an C1 norm and can be implemented as a standard linear program. Further extensions allowing to model and take into account the statistical nature of the data (the estimation errors) are also proposed.