Rejection and tracking of an unknown broadband source in a two-element array through least square approximation of inter-element delay

Abstract

In this letter, a new algorithm to reject and track an unknown broadband source by approximating the inter-element delay in a two-element adaptive array is investigated. Essentially, by constraining the response of the L-tap processing filter to a delay in the least squares sense, the number of adaptive parameters is reduced to merely an unknown gain and delay, which can then be adjusted to reject the unknown source by using the LMS algorithm. Compared with the conventional LMS algorithm, the new algorithm has the advantage that, at about the same complexity, estimate for the source location is available and the convergence speed is significantly improved.