A sensitivity analysis of the MUSIC algorithm

A first-order analysis of the sensitivity of the MUSIC algorithm to differences between the true and assumed array manifolds is presented. A formula is derived for computing the amount of phase error that will cause the algorithm to fail to resolve two sources, as a function of source separation and other system parameters. The failure threshold is shown to be proportional to the square of the source separation.< <ETX xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">></ETX>