Direction-of-Arrival Estimation for 2D Coherently Distributed Sources with Nested Array Based on Matrix Reconstruction

Table 2

Summary of the proposed method.

---

Input: N snapshots of receive vectors of the subarrays A₁ and A₂ array and

Output: nominal angles of q 2D CD sources (θ_i, φ_i) (i = 1, 2, …, q).

---

(1) Computing the sample cross-correlation matrix of subarrays R₁ and R₂ from equations (22).

(2) Vectorizing R₁ and R₂ from equations (12) and (13) and reordering sequences of elements in vectors and to obtain r_A and r_B.

(3) Extracting the elements of vectors r_A and r_B to get and and constructing , , and form equations (47)–(49).

(4) Calculation and eigendecomposition of and .

(5) Computing nominal elevation θ_i from equation (52) and nominal elevation φ_i from equation (54).

---