A robust detection algorithm for real signals based on RRNS

We mainly consider a problem in this paper that how to obtain the robust reconstruction for a real dividend from its error remainders using China remainder theory (CRT), which is often encountered in practice such as range ambiguity, phase unwrapping, etc. To solve this problem, we generalize the redundant residue number system (RRNS) to reals domain and present an efficient algorithm to recover the dividend robustly. Simulation results demonstrate our proposed algorithm has much better performance than that of known methods when remainders noisy by Gaussian noise.