A determination of an angle of arrival of radiofrequency (RF) radiation can be made using compressive sensing techniques to inform a receiver portion of a radar system using fewer measurements and samples of the received signal. A method for compressive sensing at an array antenna includes forming a plurality subarrays of array elements from the array antenna such that each subarray includes two or more array elements, capturing data at the plurality of subarrays of array elements, modulating phase properties of the data captured at each of the subarrays, combining the modulated data from each of the plurality of subarrays to form a measurement having phase and magnitude measurements corresponding to the combined modulated data and determining angle of arrival information for the data using the measurement matrix.