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Chinese Remainder Theorem (CRT) is a powerful approach to solve ambiguityresolution related problems such as undersampling frequency estimation andphase unwrapping which are widely applied in localization. Recently, thedeterministic robust CRT for multiple numbers (RCRTMN) was proposed, which canreconstruct multiple integers with unknown relationship of residuecorrespondence via generalized CRT and achieves robustness to bounded errorssimultaneously. Naturally, RCRTMN sheds light on CRT-based estimation formultiple objectives. In this paper, two open problems arising that how tointroduce statistical methods into RCRTMN and deal with arbitrary errorsintroduced in residues are solved. We propose the extended version of RCRTMNassisted with Maximum Likelihood Estimation (MLE), which can tolerateunrestricted errors and bring considerable improvement in robustness.

On Solving Ambiguity Resolution with Robust Chinese Remainder Theorem for Multiple Numbers