Prony Method for Two-Generator Sparse Expansion Problem

In data analysis and signal processing, the recovery of structured functions from given sampling values is a fundamental problem. Many methods generalized Prony method have been developed to solve this problem; however, current research mainly deals with represented in sparse expansions using single generating function. paper, we generalize expansion problem for two functions, so that more types can be recovered by Prony-type methods. The two-generator has some special properties. For example, sets frequencies need separated zeros polynomial. We propose two-stage least-square detection effectively.