Quantization noise, fixed-point multiplicative roundoff noise, and dithering
作者： P.W. Wong
DOI: 10.1109/29.103065
关键词: Applied mathematics 、 Probability distribution 、 Quantization (signal processing) 、 Multiplier (economics) 、 Signal processing 、 Dither 、 Rounding 、 Multiplicative function 、 Discrete mathematics 、 Mathematics 、 Round-off error
摘要: The author considers the characteristics of error resulting when a continuous amplitude signal x/sub n/ is quantized and then multiplied by constant multiplier under fixed-point roundoff arithmetic. It shown that overall such an operation can be decomposed into two terms: one being scaled version due to quantization other rounding off product aQ(x/sub n/). Exact first- second-order moments are derived for error, as function distribution n/. Sufficient conditions given individually uniformly distributed white up moments, also them mutually uncorrelated. regardless probability input n/, it always possible add suitable dither system so both distributed, white, For Gaussian inputs, sufficient not satisfied. >
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