The invention discloses a non-convex optimization based 
MIMO radar moving 
object detection method. The method comprises the following steps: according to 
radar parameters, performing distance-angle-Doppler grid dividing on an observation area; according to 
radar emission, the position of a receiving array, and radar observation area parameters, calculating emission and reception guiding vectors; according to emission 
signal waveforms, the guiding vectors and a distance unit time 
delay transformation matrix, constructing a sparse dictionary matrix; performing 
serialization on echo signals received by an 
antenna array; and according to an aforementioned model, constructing 
MIMO radar moving 
object detection to be an 
optimization problem of an L[1 / 2] norm minimizing constraint; and using a 
heavy weight determining L[1] norm regularization method to solve the 
optimization problem, obtaining distance-angle-
Doppler imaging of a 
MIMO radar moving object, and detecting a moving object in the observation area. By using the method provided by the invention, a moving 
object detection result more accurate than a result by use of a convex optimization 
algorithm can be obtained, and the detection result is higher in resolution.