The invention discloses a co-prime array DOA (
direction of arrival)
estimation method based on interpolation
virtual array covariance matrix Toeplitz reconstruction, and mainly solves a problem of
information loss caused by the heterogeneity in a
virtual array in the prior art. The method comprises the implementation steps: constructing a co-prime array at a receiving end; receiving an incident
signal through the co-prime array, and carrying out the modeling; calculating an equivalent virtual
signal corresponding to the
signal received by the co-prime array; constructing an interpolation
virtual array and carrying out the modeling; constructing a multi-sampling snapshot signals of the interpolation virtual array and a sampling
covariance matrix; constructing a projection matrix, and defining projection calculation related with the projection matrix; constructing a reference
covariance matrix according to all information in an original virtual array, designing an
optimization problem based on the interpolation virtual array
covariance matrix Toeplitz reconstruction, and solving the
optimization problem; and carrying out the DOA
estimation according to the reconstructed interpolation virtual array
covariance matrix. The method improves the freedom degree and resolution of signal DOA
estimation, and can be used for the passive positioning and target detection.