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
JO - Metrology and Measurement Systems
L1 - http://journals.pan.pl/Content/90303/PDF/Journal10178-VolumeXXII+Issue1_08.pdf
L2 - http://journals.pan.pl/Content/90303
IS - No 1
EP - 100
KW - quantization
KW - amplitude estimation
KW - sine wave
KW - discrete Fourier transform (DFT)
KW - additive noise
ER -
A1 - Bellan, Diego
PB - Polish Academy of Sciences Committee on Metrology and Scientific Instrumentation
VL - vol. 22
JF - Metrology and Measurement Systems
SP - 89
T1 - On the Validity of the Noise Model of Quantization for the Frequency-Domain Amplitude Estimation of Low-Level Sine Waves
UR - http://journals.pan.pl/dlibra/docmetadata?id=90303
DOI - 10.1515/mms-2015-0004