Theoretical resolution-threshold curve for the MUSIC algorithm

An approximate statistical characterization of the MUSIC sample null spectrum is presented for an arbitrary number of (possibly) correlated emitters observed by a general array. A simple expression for the spectral covariance matrix in the neighborhood of the emitters is developed. The covariance result and prior mean spectral results support a Gaussian characterization in the neighborhood of the emitters for many scenarios. The results can be utilized to quantify a variety of performance metrics. As an illustration, models based on physical parameters are constructed for the curve of probability of resolution versus signal-to-noise ratio. The models predict the curve with a high degree of accuracy for example scenarios