DOA Estimation - ESPRIT Algorithm with Matrix Pencil Method

In this article, we will provide a detailed discussion of array signal processing and its applications. Array signal processing is a signal processing technique that utilizes multiple sensors to receive signals and combines them to enhance signal quality. One key application involves locating signal sources through direction finding, known as Direction of Arrival (DOA) estimation. DOA estimation represents a crucial application in array signal processing, enabling us to determine the positions of signal sources. For DOA estimation, we employ the ESPRIT algorithm with matrix pencil method to estimate signal source angles - a high-precision algorithm with relatively low computational complexity. The implementation typically involves constructing covariance matrices from sensor data, performing eigenvalue decomposition to identify signal subspaces, and applying matrix pencil operations to extract rotation-invariant relationships between subarrays. Key functions include covariance matrix calculation, eigenvalue decomposition, and matrix pencil eigenvalue solving. Therefore, in array signal processing, DOA estimation and the matrix-pencil-based ESPRIT algorithm are inseparable components that provide an effective approach for signal processing and quality enhancement.