ESPRIT Simulation for Direction of Arrival (DOA) Estimation

In this article, we will explore simulation code for direction cosine estimation based on the ESPRIT algorithm. This simulation tool helps us better understand how the algorithm functions and enables optimization in practical applications. The implementation typically involves key steps such as signal subspace estimation through eigenvalue decomposition of the covariance matrix, and rotational invariance operations between array subarrays to extract angle information. We will also discuss how to use this code to perform various DOA estimation tasks, including configuring array geometries and signal parameters, as well as methods for analyzing and interpreting results like spatial spectrum plots and estimation accuracy metrics. In subsequent sections, we will delve into ESPRIT's underlying principles and implementation details, covering aspects such as signal model formulation, covariance matrix computation, and eigenvalue decomposition techniques, providing readers with comprehensive insights into the internal workings of direction cosine estimation.