The application provides a method for constructing a reconfigurable sparse
linear array, which comprises the following steps: firstly, sampling a target beam to obtain a matrix constituted by sampling beams; secondly, obtaining a rank-minimum
Toeplitz matrix by a weighted atom
norm minimization method; thirdly, estimating the frequency and weight of the atom by using a Root-MUSIC
algorithm; and finally, converting the frequency and weight into the element position and excitation of the reconfigurable sparse
linear array through a mapping relationship. The RANM
algorithm provided by the application has a performance
advantage in the sparsity, can reduce the number of elements under the condition that the shape of the
radiation beam pattern is almost unchanged, and thus reduces the complexity and
power consumption of the
system. The
algorithm avoids the grid mismatch problem existing in the traditional sparse
recovery algorithm, and thus is superior to the traditional reconfigurable sparse
linear array algorithm in the matching accuracy of the reconstructed beam.