A 1.5-bit DFT Analyzer

In this article, it is shown how to estimate the frequency response function of a linear system using a three-level digital-to-analog converter (DAC) and a 1-bit analog-to-digital converter (ADC). Estimation requires the usage of a three-level periodic stimulus signal and a sinewave, used as a dithe...

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Bibliographic Details
Published in:IEEE transactions on instrumentation and measurement 2020-10, Vol.69 (10), p.8590-8599
Main Authors: Carbone, Paolo, Schoukens, Johan, De Angelis, Alessio, Moschitta, Antonio
Format: Article
Language:English
Subjects:
Analog to digital conversion
Analog to digital converters
Analog-digital conversion
Design parameters
Digital to analog conversion
Digital to analog converters
Discrete Fourier transforms
Estimation
Finite impulse response filters
Frequency response functions
Frequency-domain analysis
Hardware
identification
Linear filters
Linear systems
Low pass filters
nonlinear estimation problems
nonlinear quantizers
quantization
Systems design
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Description
Summary:In this article, it is shown how to estimate the frequency response function of a linear system using a three-level digital-to-analog converter (DAC) and a 1-bit analog-to-digital converter (ADC). Estimation requires the usage of a three-level periodic stimulus signal and a sinewave, used as a dither signal to improve the effective resolution of the 1-bit ADC. By a suitable choice of the source sequence, the proposed procedure is robust to nonlinearities in the used DAC and allows detection of nonlinearities affecting the linear filter output. This article illustrates the main idea, its theoretical aspects, the system design parameters, and simulation and experimental results, obtained in the case of a passive low-pass filter.
ISSN:0018-9456
1557-9662
DOI:10.1109/TIM.2020.2987590