Two-Step Root-MUSIC for Direction of Arrival Estimation without EVD/SVD Computation

Table 1

The proposed two-step root-MUSIC algorithm.

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Step 1

 (i) Estimate , , and by (30), (35), and (36).

 (ii) Compute and by (21), (22), (23), (24), (25), (26), and (27).

 (iii) Obtain the rough noise projection matrix by (28).

 (iv) Output the rough DOA estimate by rooting (29).

Step 2

 (i) Insert into (33) and (34) to compute and .

 (ii) Obtain , , and by (31), (37), and (38), respectively.

 (iii) Renew the rough noise projection matrix by .

 (iv) Output final fine DOA estimate by rooting (39).

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