TY - JOUR
N2 - This paper deals with the amplitude estimation in the frequency domain of low-level sine waves, i.e. sine waves spanning a small number of quantization steps of an analog-to-digital converter. This is a quite common condition for high-speed low-resolution converters. A digitized sine wave is transformed into the frequency domain through the discrete Fourier transform. The error in the amplitude estimate is treated as a random variable since the offset and the phase of the sine wave are usually unknown. Therefore, the estimate is characterized by its standard deviation. The proposed model evaluates properly such a standard deviation by treating the quantization with a Fourier series approach. On the other hand, it is shown that the conventional noise model of quantization would lead to a large underestimation of the error standard deviation. The effects of measurement parameters, such as the number of samples and a kind of the time window, are also investigated. Finally, a threshold for the additive noise is provided as the boundary for validity of the two quantization models
L1 - http://www.czasopisma.pan.pl/Content/90303/PDF/Journal10178-VolumeXXII%20Issue1_08.pdf
L2 - http://www.czasopisma.pan.pl/Content/90303
PY - 2015
IS - No 1
EP - 100
DO - 10.1515/mms-2015-0004
KW - quantization
KW - amplitude estimation
KW - sine wave
KW - discrete Fourier transform (DFT)
KW - additive noise
A1 - Bellan, Diego
PB - Polish Academy of Sciences Committee on Metrology and Scientific Instrumentation
VL - vol. 22
DA - 2015[2015.01.01 AD - 2015.12.31 AD]
T1 - On the Validity of the Noise Model of Quantization for the Frequency-Domain Amplitude Estimation of Low-Level Sine Waves
SP - 89
UR - http://www.czasopisma.pan.pl/dlibra/publication/edition/90303
T2 - Metrology and Measurement Systems
ER -