Joint angle and delay estimation using shift-invariance properties

Abstract — In a multipath communication scenario, it is of-ten relevant to estimate the directions and relative delays of each multipath ray. We derive a closed-form subspace-based method for the simultaneous estimation of these parameters from an estimated channel impulse response, using knowledge of the transmitted pulse shape function. The algorithm uses a two-dimensional (2-D) ESPRIT-like shift-invariance technique to separate and estimate the phase shifts due to delay and direction of incidence with automatic pairing of the two parameter sets. Improved resolution is obtained by enlarging the data matrix with shifted and conjugated copies of itself. Index Terms — Array signal processing, direction/time-of-arrival estimation, joint diagonalization, 2-D ESPRIT