The invention discloses a DOA (Direction-of-Arrival)
estimation method based on grid-less compressive sensing in the background of super-
Gaussian noise, which comprises the steps of firstly determining an
antenna array signal model, that is, receiving signals through a linear
antenna array with the number of array elements being M and the spacing between the array elements being equal, selecting anorm of lp to perform constraint according a
noise distribution type measured in the actual environment, then determining a function expression for solving a noiseless
signal x, describing a problemof recovering the noiseless
signal x into a problem of minimizing an atomic norm, and solving by adopting a theoretical method of semi-definite
programming; then solving a primitive solution accordingto an ADMM
algorithm, then solving a dual solution z^, finally solving the DOA, enabling the DOA to more approach to an angle support set of the primitive signal so as to complete DOA
estimation. According to the invention, a
noise item is effectively constrained by adopting an appropriate norm through using statistical characteristics of the noise, and finally the angle support set of the primitive signal is solved by using a relation between the primitive solution and the dual solution so as to achieve effective and accurate DOA
estimation.