SENSITIVITY OF COMPLEX RESPONSE ZEROS OF LINEAR POWER INVERSION ARRAYS IN THE PRESENCE OF RANDOM AMPLITUDE AND PHASE ERRORS

This paper investigates the variation of the complex response zeros, c ommonly used for source location purposes, of a linear power inversion array with random amplitude and phase errors. In particular, after de riving the zero variances in terms of the optimal weights and the vari ances of the amplitude and phase errors, a simple guideline relating t he zero variances to the number of elements and the amplitude and phas e variances is obtained for situations when the Sources are well separ ated and resolvable by the array. Some simulation results are then pre sented to verify the theoretical derivations.