Two-Dimensional Direction-of-Arrival Fast Estimation of Multiple Signals with Matrix Completion Theory in Coprime...

Area of Science:

• Signal Processing
• Array Signal Processing
• Electromagnetics

Background:

• Estimating two-dimensional direction-of-arrival (2D DOA) with coprime planar arrays faces challenges in computational complexity and limited degrees of freedom.
• Existing methods often rely on spectral peak search, which is computationally intensive and restricts the number of signals that can be resolved.

Purpose of the Study:

• To develop a novel algorithm for 2D DOA estimation in coprime planar arrays.
• To reduce computational complexity and enhance the degrees of freedom for accurate DOA estimation.

Main Methods:

• The proposed algorithm utilizes matrix completion theory applied to the covariance matrix of received signals.
• It estimates a virtual uniform rectangular array covariance matrix with the same aperture as the coprime planar array.
• A closed-form direction-of-arrival (DOA) solution is derived using Unitary-ESPRIT (Unitary Estimation of Signal Parameters via Rotational Invariance Techniques).

Main Results:

• The algorithm achieves a high degree of freedom, allowing estimation of more signal DOAs than the number of sensors.
• Computational complexity is significantly reduced by replacing spectral peak search with Unitary-ESPRIT.
• The accuracy of the proposed method is comparable to the 2D Multiple Signal Classification (MUSIC) algorithm.

Conclusions:

• The developed matrix completion-based algorithm offers an efficient and effective solution for 2D DOA estimation using coprime planar arrays.
• It overcomes the limitations of traditional methods by providing enhanced degrees of freedom and reduced computational load.
• This approach enables more accurate and flexible 2D DOA estimation in various applications.