Abstract:

A long time coherent integration algorithm based on multi-dimensional non-uniform fast Fourier transform (NUFFT) is proposed for moving targets with arbitrary orders of motion. The presented algorithm firstly utilizes multi-dimensional NUFFT to realize motion compensation in the fast-time frequency domain, and then accomplishes coherent integration via inverse fast Fourier transform (IFFT). The performance of this algorithm is almost optimal while the computational complexity is less than that of the existed algorithms. Especially, another new algorithm with Wigner-NUFFT is used to deal with a target with a jerk. Compared to the algorithm with multi-dimensional NUFFT, the algorithm with Wigner-NUFFT has much lower computational complexity. However, the disadvantage is that a higher signal-to-noise ratio is needed. The simulation results demonstrate the effectiveness of the proposed algorithm.