Notes on CRT-based robust frequency estimation

During last two decades, CRT-based frequency estimation from undersampling waveforms and its applications have been widely studied. It gives rise to the research of generalized and robust Chinese Remainder Theorem. In the paper, we first develop a lower bound of the product of moduli for general closed-from robust Chinese Remainder Theorem (RCRT). Then we develop a scheme of robust reconstruction with erroneous residues under relaxed limitation to errors introduced in residues. Finally, a robust estimation of multiple frequencies within a narrow bandwidth is proposed.