Direction of Arrival Estimation with Hybrid Digital Analog Arrays: Algorithms and Ziv-Zakai Lower Bound

In this paper, the Ziv-Zakai Bound (ZZB) is applied to analyze the Direction of Arrival (DoA) estimation problem with hybrid arrays. Two signal models are considered: in the first one, the signal is constant and known, while in the second one, the signal varies over time and follows a Complex Gaussian distribution. The bounds are used as benchmarks for the MAP estimator, and through these bounds, the effect of the number of RF chains as well as the number of snapshots on the estimation problem is analyzed. Simulations demonstrate the bounds predict the Mean Squared Error (MSE) of MAP through the SNR.