Increasing Utilization of Redundant Virtual Array for DOA Estimation Based on Coprime Array

Algorithm 1

Algorithm steps.

	Input: received signal
	Output:
	Step 1: after the matched filter, received signal will be obtained.
	Step 2: according to the formula , the received signal covariance matrix is obtained.
	Step 3: the covariance matrix is vectorized to obtain the vector matrix .
	Step 4: the virtual array elements in the vector matrix are sorted according to the position size.
	Step 5: averaging the virtual array elements in the same position.
	Step 6: new vector will be obtained.
	Step 7: making become a Toeplitz matrix to overcome the single snapshot effect, then a new covariance matrix will be obtained.
	Step 8: using Root-MUSIC algorithm to estimate DOA of targets.