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Rate-distortion performance in coding bandlimited sources by sampling and dithered quantization

机译:通过采样和抖动量化编码带限源中的速率失真性能

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The rate-distortion characteristics of a scheme for encoding continuous-time band limited stationary sources, with a prescribed band, is considered. In this coding procedure the input is sampled at Nyquist's rate or faster, the samples undergo dithered uniform or lattice quantization, using subtractive dither, and the quantizer output is entropy-coded, The rate-distortion performance, and the tradeoff between the sampling rate and the quantization accuracy is investigated, utilizing the observation that the coding scheme is equivalent to an additive noise channel. It is shown that the mean-square error of the scheme is fixed as long as the product of the sampling period and the quantizer second moment is kept constant, while for a fixed distortion the coding rate generally increases when the sampling rate exceeds the Nyquist rate. Finally, as the lattice quantizer dimension becomes large, the equivalent additive noise channel of the scheme tends to be white Gaussian, and both the rate and the distortion performance become invariant to the sampling rate.
机译:考虑了以规定的频带对连续时间带有限的固定源进行编码的方案的速率失真特性。在此编码过程中,以奈奎斯特速率或更快的速率对输入进行采样,使用减法抖动对样本进行抖动均匀或点阵量化,并对量化器输出进行熵编码,速率失真性能以及采样率与利用编码方案等效于附加噪声通道的观察结果,研究了量化精度。结果表明,该方案的均方误差是固定的,只要采样周期与量化器第二阶矩的乘积保持恒定,而对于固定的失真,当采样率超过奈奎斯特率时,编码率通常会提高。最终,随着晶格量化器尺寸变大,该方案的等效加性噪声通道趋向于为白色高斯分布,并且速率和失真性能都变得与采样速率无关。

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