A sensitivity analysis of the MUSIC algorithm

A first-order analysis of the sensitivity of the MUSIC algorithm to system errors which cause differences between the array manifold used by MUSIC and the true array manifold is presented. The effect of such errors on the direction-of-arrival estimates is investigated. The ability of the MUSIC algorithm to resolve two closely spaced sources in the presence of phase and gain errors in the array elements or the receivers, or errors in the element locations, is analyzed. A formula for computing the failure threshold of MUSIC as a function of source separation and other system parameters is derived and tested by simulation. The analysis assumes that the exact covariance matrix of array element outputs is known (the infinite data case)