Subspace Based Adaptive Beamforming Algorithm with Interference Plus Noise Covariance Matrix Reconstruction

Algorithm 1

The proposed algorithm steps.

	Step 1: The DOA results are obtained using the subspace algorithm in (19), and the direction vector of the signals is reconstructed by formula (20)
	Step 2: The SV of the desired signal is corrected by formula (24), and the corrected desired signal SV is obtained using (26)
	Step 3: The correspondence between eigenvalues and power is derived using (28) and (29), and (30) and (32) are used to calculate the power of noise and interference signals respectively. Then we proved that the corresponding relationship between the derived eigenvalues and power is correct
	Step 4: The corresponding relationship between power and DOA is obtained by (21), (32) and (36)
	Step 5: The interference plus noise covariance matrix is reconstructed by the direction vector and power using (37)
	Step 6: The estimated steering vector and the reconstructed INCM are used to calculate the weight vector in (38)