2008
DOI: 10.1017/cbo9780511754661
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Quantization Noise

Abstract: If you are working in digital signal processing, control or numerical analysis, you will find this authoritative analysis of quantization noise (roundoff error) invaluable. Do you know where the theory of quantization noise comes from, and under what circumstances it is true? Get answers to these and other important practical questions from expert authors, including the founder of the field and formulator of the theory of quantization noise, Bernard Widrow. The authors describe and analyze uniform quantization… Show more

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Cited by 355 publications
(117 citation statements)
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“…The general quantization noise theory predicts that the ADC error due to a limited resolution is almost independent of the input signal and it just depends on the resolution [13]. However, our findings based on simulations and experimental results for the first time show that the shape of the excitation signals used in time domain EIS, has a significant effect on the error of the measured impedance, when the ADC resolution is limited.…”
Section: Introductionmentioning
confidence: 64%
“…The general quantization noise theory predicts that the ADC error due to a limited resolution is almost independent of the input signal and it just depends on the resolution [13]. However, our findings based on simulations and experimental results for the first time show that the shape of the excitation signals used in time domain EIS, has a significant effect on the error of the measured impedance, when the ADC resolution is limited.…”
Section: Introductionmentioning
confidence: 64%
“…From Bernard Widrow [27], the CF of can be calculated as follow. (6) From Figure 2, the CF of multiply the CF of may constitute the CF of dithering, since is independence with .…”
Section: A Condition For Total Error Moments Is Independent With Inputmentioning
confidence: 99%
“…As well as standard discrete control references such as [32], [26], [25], [37], [8], there are more specialised treatments aimed at specific aspects, e.g. [38], [39], [40], [41]. Frequently they focus on a frequency domain approach or on statistical properties.…”
Section: Relating the Continuous And Discretized Modelsmentioning
confidence: 99%