Resolving power of MUSIC-like algorithms for circular or rectilinear correlated sources in CES data models

The concept of threshold array signal-to-noise ratio (ASNR) which is defined as the minimal SNR at specific high-resolution algorithms are able to resolve two closely spaced far-field sources, allows quantify and compare sensors performance in localizing remote targets. This paper generalizes extends expressions ASNR given literature for conventional non-circular (NC) MUSIC direction-of-arrival (DOA) estimation context uncorrelated stochastic circular or rectilinear Gaussian sources complex (C-CG) noise, a more general framework. We assume that correlated with an arbitrary distribution, inherent multipath smart jammers, noise elliptically symmetric (C-CES) distributed, can model impulsive heavy-tailed distributions. C-CES NC-CES distributed observations also considered gain resolution provided when sample covariance matrix (SCM) replaced by M-estimates this matrix. Asymptotic approaches perturbation analysis have been performed derive closed-form mean null spectra both observation models, allow us derive, first time, unified explicit analytical along Cox Sharman Durrani criteria. These impact non-Gaussianity observations, well phase magnitude correlation on threshold, benefit SCM CES observations. Finally, numerical illustrations included support our theoretical analysis.