Analysis of signal estimation using uncalibrated arrays

We consider the problem of separating and estimating the waveforms of superimposed signals received using an array of uncalibrated sensors. The array elements are assumed to have the same unknown gain pattern, up to an unknown multiplicative factor. The phases of the elements are arbitrary and unknown. In this paper we analyze the quality of the estimated signal in terms of the output signal to interference ratio (SIRO) and output signal to noise ratio (SNRO). It is shown that uncalibrated arrays can be used successfully for signal separation and estimation using only second order moments. The analysis is verified by Monte Carlo experiments using an algorithm for steering vector estimation