A Hardware Architecture for Efficient Adaptive Threshold-Based Sampling using Weyl’s Discrepancy

Recently, Weyl’s discrepancy has been shown to be the optimum metric for threshold-based sampling. Based on this discrepancy, threshold-adaption strategies relying on the local discrepancy in the spike domain have been developed. This work proposes a low-complexity architecture allowing for a singlecycle calculation of the local discrepancy in digital hardware. By introducing a thermometer code representation, the local discrepancy can not only be calculated with low complexity tailored for a digital hardware implementation but also features inherent overflow robustness. We describe that, even when using a simple PWM-based DAC, SNDR values above 58 dB and SNR values above 40 dB for sinusoidal test cases and more than 30 dB for ECG signals can be achieved while requiring significantly less spikes compared to recent state-of-the-art works.