DescriptionIn the thesis, we propose a direction of arrival (DOA) estimation method with co-prime sensor arrays based on the Sparse Fourier Transform (SFT). A co-prime array is composed of two uniform linear arrays (ULAs) whose inter-sensor spacings are (M*lambda) /2 and (N*lambda )/2, respectively,where M and N are co-prime integers and the represents the signal wavelength. The co- prime array is adopted here because it can extend the degrees of freedom thus bene ting DOA detection. Assuming that there are not many targets in the array far eld, the array snapshot is sparse in the spatial frequency domain. Since the spatial frequencies of the array snapshot contain DOA information, the DFT is traditionally used to obtain DOA information. In the thesis, the SFT is employed to estimate the DOA instead of the DFT. Compared to the DFT, the SFT only needs a small subset of snapshot samples to estimate the signi cant coe cients. Owing to this advantage, we design a new method to estimate DOA, using a subset of sensors. Both analytical and computer simulations con rm the validity of the proposed approach.