High Dynamic Range Sensing Using Multi-Channel Modulo Samplers

Lu Gan, Hongqing Liu

202020 citationsDOI

Abstract

We consider the problem of recovering a band-limited signal from multi-channel modulo folded measurements. The study is motivated by the recent advances of self-reset analog-to-digital converters (SR-ADCs) for high dynamic range digitization. Most of existing works focus on single-channel SR-ADC, which requires high sampling rate and the reconstruction could be very unstable at low signal to noise ratio. To our best knowledge, this is the first work that studies multi-channel SR-ADC systems. In the noiseless case, we show that perfect reconstruction can be achieved using only 2 channels, each of which samples at Nyquist rate. For noisy measurements, we develop a lattice-based optimization for stable reconstruction. Simulation results are presented to demonstrate the effectiveness of the proposed algorithms.

Topics & Concepts

Nyquist–Shannon sampling theoremDynamic rangeComputer scienceCompressed sensingChannel (broadcasting)Signal reconstructionNyquist rateModuloUpsamplingSampling (signal processing)OversamplingConvertersSignal-to-noise ratio (imaging)Electronic engineeringDigitizationHigh dynamic rangeBandwidth (computing)Reset (finance)AlgorithmSignal processingMathematicsTelecommunicationsDigital signal processingElectrical engineeringComputer hardwareEngineeringArtificial intelligenceVoltageDetectorComputer visionEconomicsImage (mathematics)Financial economicsCombinatoricsMedical Imaging Techniques and ApplicationsAnalog and Mixed-Signal Circuit DesignSparse and Compressive Sensing Techniques