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Dithered quantizers

机译：抖动量化器

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摘要

A theory of overall quantization noise for nonsubtractive dither was originally developed in unpublished work by J.N. Wright and by T.J. Stockham and subsequently expanded by L.K. Brinton, S.P. Lipshitz, J. Vanderkooy, and R.A. Wannamaker. It is suggested that since these latter results are not as well known as the original results, misunderstanding persists in the literature. New proofs of the properties of quantizer dither, both subtractive and nonsubtractive, are provided. The new proofs are based on elementary Fourier series and Rice's characteristic function method and do not require the use of generalized functions (impulse trains of Dirac delta functions) and sampling theorem arguments. The goal is to provide a unified derivation and presentation of the two forms of dithered quantizer noise based on elementary Fourier techniques.
机译：非减法抖动的整体量化噪声理论最初是由J.N.赖特和T.J. Stockham，随后由L.K.扩展Brinton，S.P。Lipshitz，J.Vanderkooy和R.A. Wannamaker。有人提出，由于这些后结果并不像原始结果那样广为人知，因此在文献中仍然存在误解。提供了减法和非减法量化抖动特性的新证明。新的证明是基于基本傅里叶级数和莱斯的特征函数方法，不需要使用广义函数（狄拉克δ函数的脉冲列）和采样定理参数。目的是提供基于基本傅立叶技术的两种形式的抖动量化器噪声的统一推导和表示。

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