Robust Unlimited Sampling Beyond Modulo

Azar, Eyar; Mulleti, Satish; Eldar, Yonina C.

doi:10.2139/ssrn.4406759

Cited by 3 publications

(6 citation statements)

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“…Due to modulo folding, y λ (t) is no longer bandlimited. To recover y(t) while sampling slightly above the Nyquist rate of the input, one first applies an unfolding algorithm to recover y(nT s ) from y λ (nT s ) [10,11,26]. Then y(t) is reconstructed from y(nT s ) by assuming that the sampling is performed above the Nyquist rate.…”

Section: Signal Model and System Descriptionmentioning

confidence: 99%

“…The unfolding operation is implemented in the digital domain, and it should operate at the lowest possible sampling rate. To this end, we use the B 2 R 2 algorithm for unfolding [10,11], which samples efficiently compared to other algorithms for bandlimited signals. Low-rate sampling and low-dynamic range requirements significantly reduce the power consumption and cost of the ADC.…”

Section: Signal Model and System Descriptionmentioning

confidence: 99%

“…Several preprocessing approaches to avoid clipping exist, such as automatic gain control (AGC) [3,4], companding [5,6], and modulo folding [7][8][9][10][11]. Among these, modulo folding is the most recent approach that need not be differentiable like companding and does not suffer from stability issues of the feedback amplifiers used in AGCs.…”

Section: Introductionmentioning

confidence: 99%

“…[7] requires almost 17 times higher sampling rate than the Nyquist rate. The approaches in Refs [8] and [10,11] operate at relatively lower sampling rates but require knowledge of the ADC's dynamic range. In contrast, the method proposed in Refs [10,11] requires a lower sampling rate, even in the presence of noise, compared to the algorithms presented in Refs [7,8].…”

Section: Introductionmentioning

confidence: 99%

“…The approaches in Refs [8] and [10,11] operate at relatively lower sampling rates but require knowledge of the ADC's dynamic range. In contrast, the method proposed in Refs [10,11] requires a lower sampling rate, even in the presence of noise, compared to the algorithms presented in Refs [7,8]. Modulo sampling is also extended to different problems and signal models such as periodic bandlimited signals [9], finite-rate-of-innovation (FRI) signals [12], sparse vector recovery [13], direction of arrival estimation [14], computed tomography [15], and graph signals [16].…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

A hardware prototype of wideband high‐dynamic range analog‐to‐digital converter

Mulleti

Eliya

Savariego

et al. 2023

IET Circuits, Devices & Syst

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Key parameters of analog‐to‐digital converters (ADCs) are their sampling rate and dynamic range. Power consumption and cost of an ADC are directly proportional to the sampling rate; hence, it is desirable to keep it as low as possible. The dynamic range of an ADC also plays an important role, and ideally, it should be greater than the signal's; otherwise, the signal will be clipped. To avoid clipping, modulo folding can be used before sampling, followed by an unfolding algorithm to recover the true signal. Here, the authors present a modulo hardware prototype that can be used before sampling to avoid clipping. The authors’ modulo hardware operates prior to the sampling mechanism and can fold higher frequency signals compared to existing hardware. The authors present a detailed design of the hardware and also address key issues that arise during implementation. In terms of applications, the authors show the reconstruction of finite‐rate‐of‐innovation signals, which are beyond the dynamic range of the ADC. The authors’ system operates at six times below the Nyquist rate of the signal and can accommodate eight times larger signals than the ADC's dynamic range.

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Section: Signal Model and System Descriptionmentioning

confidence: 99%

Section: Signal Model and System Descriptionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

A hardware prototype of wideband high‐dynamic range analog‐to‐digital converter

Mulleti

Eliya

Savariego

et al. 2023

IET Circuits, Devices & Syst

Self Cite

View full text Add to dashboard Cite

show abstract

Power-Aware Analog to Digital Converters

Mulleti,

Bhandari,

Eldar

2023

Applied and Numerical Harmonic Analysis

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Hybrid structure optical fiber sensor for simultaneous measurement of curvature and strain

Zhang

Zhu

et al. 2022

Optical and Quantum Sensing and Precision Metrology II

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Unlimited sampling was recently introduced to deal with the clipping or saturation of measurements where a modulo operator is applied before sampling. In this paper, we investigate the identifiability of the model where measurements are acquired under a discrete Fourier transform (DFT) sensing matrix first followed by a modulo operator (modulo-DFT). Firstly, based on the theorems of cyclotomic polynomials, we derive a sufficient condition for uniquely identifying the original signal in modulo-DFT. Additionally, for periodic bandlimited signals (PBSs) under unlimited sampling which can be viewed as a special case of modulo-DFT, the necessary and sufficient condition for the unique recovery of the original signal are provided. Moreover, we show that when the oversampling factor exceeds 3(1 + 1/P ), PBS is always identifiable from the modulo samples, where P is the number of harmonics including the fundamental component in the positive frequency part.

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Robust Unlimited Sampling Beyond Modulo

Cited by 3 publications

References 0 publications

A hardware prototype of wideband high‐dynamic range analog‐to‐digital converter

A hardware prototype of wideband high‐dynamic range analog‐to‐digital converter

Power-Aware Analog to Digital Converters

Hybrid structure optical fiber sensor for simultaneous measurement of curvature and strain

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