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 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.

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