Toeplitz Based Matrix Pencil for Non-Circular Signals

This paper proposes an improved matrix pencil (MP) algorithm for estimation of non-circular, narrow-band, and coherent signal direction of arrival angles (DOAs). The MP method has advantages over the conventional subspace-based algorithms such as MUSIC and ESPRIT. For example, the MP method does not require multiple snapshots and spatial smoothing but rather a single snapshot observation to estimate DOAs. Hence, it is attractive for real-time applications. However, the MP method can estimate DOAs from up to N/2 number of coherent sources when N antenna elements are used. This paper proposes a modified MP method, which can estimate up to (N-1) coherent source DOAs and, furthermore, can improve performance of the MP algorithm significantly.