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Table 1 The process of proposed algorithm

From: Gridless DOA estimation with finite rate of innovation reconstruction based on symmetric Toeplitz covariance matrix

Input

The number of sources K, antenna sensors M and snapshots L, the received signal matrix Y

Output

The DOA estimation results \(\hat {\theta _{k}}(k=1,...,K)\)

Step 1

Calculate the covariance matrix of received signals \(\hat {\mathbf {R}}\) by (7)

Step 2

Estimate the parameters um in the solution of the SDP as shown in (13)

Step 3

Acquire the coefficients of annihilated filter ck according to the linear equations in the form of formula (18)

Step 4

Find the roots of polynomial gk with coefficients ck

Step 5

Determine the final DOA estimation results by solving (19)