To address these non-idealities, we provide a new Fourier domain recovery algorithm. Our starting point is a class of non-idealities that we observe in prototyping an unlimited sampling based analog-to-digital converter. Thus, by capitalizing on a collaboration between hardware and algorithms, our paper enables an end-to-end pipeline for HDR sampling allowing more flexible hardware implementations.įollowing the Unlimited Sampling strategy to alleviate the omnipresent dynamic range barrier, we study the problem of recovering a bandlimited signal from point-wise modulo samples, aiming to connect theoretical guarantees with hardware implementation considerations. Our theoretical work is corroborated by hardware experiments that are based on a hysteresis enabled, modulo ADC testbed comprising off-the-shelf electronic components. Additionally, we show how the proposed recovery can be directly generalized for the case of lower sampling rates. We show that the effect of hysteresis is beneficial for the USF and we leverage it to derive the first recovery guarantees in the context of our generalized USF model. Both these effects are motivated by our hardware experiments and also occur in previous, domain-specific applications.
Hysteresis accounts for the mismatch between the reset threshold and the amplitude displacement at the folding time and we refer to a continuous transition period in the implementation of a reset as folding transient. The generalization relies on two new parameters modeling hysteresis and folding transients} in addition to the modulo threshold.
Our starting point is a generalized model for USF. At the interface of theory and practice, this paper explores a computational sampling strategy that relaxes strict hardware requirements by compensating them via a novel, mathematically guaranteed recovery method. In hardware, however, implementing an ideal modulo folding requires careful calibration, analog design and high precision. HDR reconstruction is then carried out by algorithmic unfolding of the folded samples. At its core, the USF allows for high-dynamic-range (HDR) signal reconstruction by converting a continuous-time signal into folded, low-dynamic-range (LDR), modulo samples. The Unlimited Sensing Framework (USF) was recently introduced to overcome the sensor saturation bottleneck in conventional digital acquisition systems.
0 kommentar(er)
