数系中具有噪声保护的解模糊问题
THE SOLUTION TO AN AMBIGUITY PROBLEM WITH NOISE PROTECTION IN NUMBER SYSTEM
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摘要: 本文介绍了DFT与对称/非对称数系(SNS/ANS)之间的关系,并讨论了噪声对数系中解模糊的影响。把ANS中对噪声不敏感的解模糊原理推广到SNS系统中,给出了具有噪声保护的SNS无模糊带宽公式,在此基础上提出了欠采样条件下对噪声不敏感的SNS实时频率解模糊算法。
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关键词:
- 无模糊带宽; 欠采样; 余数误差
Abstract: 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. -
[美] 詹姆斯崔保延:宽带接收机数字技术.电子工业部第二十九研究所情报室,《电子战技术文选》编辑部,1996, 7.[2]Sanderson R B, et al., Reduction of aliasing ambiguities througth phase relations. IEEE Tans. on AES, 1992, AES-28(4), 950-955.[3]McCormick W S, et al., A noise insensitive solution to an ambiguity problem in spectral estima-[4]tion. IEEE Trans. on AES 1989, AES-25(5), 729-732.[5]Phillip E P, et al., Use of the symmetrical number system in resolving single-frequency under-[6]sampling aliases. IEEE Tans. on SP 1997, SP-45(5), 1153-1160.[7]文宇.空间信号瞬时测频技术研究:[硕士论文].电子科技大学电子工程学院,1997, 1. -
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