THE SOLUTION TO AN AMBIGUITY PROBLEM WITH NOISE PROTECTION IN NUMBER SYSTEM
数系中具有噪声保护的解模糊问题

The relationship between the discrete Fourier transform (DFT) and the symmetrical/Asymmetrical number system (SNS/ANS) is introduced in this paper. And the influence of noise upon the solution to an ambiguity problem in number system is also discussed. The principle of noise insensitive solution to the ambiguity in ANS is extended to SNS. The unambiguous bandwidth equation with noise protection in SNS is presented,based on which a real time noise insensitive algorithm in SNS for resolving undersampling ambiguous frequency is proposed.