QRC-ESPRIT Method for Wideband Signals

In this paper, a new algorithm for a high resolution Direction Of Arrival (DOA) estimation method for multiple wideband signals is proposed. The proposed method proceeds in two steps. In the first step, the received signals data is decomposed in a Toeplitz form using the first-order statistics. In the second step, The QR decomposition is applied on the constructed Toeplitz matrix. Compared with existing schemes, the proposed scheme provides several advantages. First, it requires computing the triangular matrix R or the orthogonal matrix Q to find the DOA; these matrices can be computed with O(n2) operation. However, most of the existing schemes required eignvalue decomposition (EVD) for the covariance matrix or singular value decomposition (SVD) for the data matrix; using EVD or SVD requires much more complex computational O(n3) operation. Second, the proposed scheme is more suitable for high-speed communication since it requires first-order statistics and a single snapshot. Third, the proposed scheme can estimate the correlated wideband signals without using spatial smoothing techniques; whereas, already-existing schemes do not. Accuracy of the proposed wideband DOA estimation method is evaluated through computer simulation in comparison with a conventional method. Index terms – array signal processing, uniform linear array, Wideband signal, Toeplitz matrix.