Non-Subtractive Dither

S. Lipshitz, R. Wannamaker, J. Vanderkooy, J. N. Wright
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引用次数: 6

Abstract

A mathematical investigation of quantizing systems using non-subtractive dither is presented. It is shown that with a suitably-chosen dither probability density function (pdf), certain moments of the total error can be made signal-independent and the error signal rendered white, but that statistical independence of the error and the input signal is not achievable. Some of these results are known but appear to be unpublished. The earliest references to many of these results are contained in manuscripts by one of the authors [JNW'] but they were later discovered independently by Stockham and Brinton2i3, Lipshitz and Vanderkooy4, and Gray5. In view of many widespread misunderstandings regarding non-subtractive dither, it seems that formal presentation of these results is long overdue.
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Non-Subtractive发抖
对非减法抖动量化系统进行了数学研究。结果表明,选择适当的抖动概率密度函数(pdf),可以使总误差的某些矩与信号无关,使误差信号呈现白色,但不能实现误差与输入信号的统计无关。其中一些结果是已知的,但似乎没有发表。其中许多结果的最早参考文献都包含在其中一位作者的手稿中[JNW],但它们后来被斯托克汉姆和布林托恩,利普希茨和范德库伊以及格雷独立发现。鉴于对非减法抖动存在许多广泛的误解,这些结果似乎早就应该正式提出了。
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