Residual Recovery Algorithm for Modulo Sampling

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

doi:10.1109/icassp43922.2022.9747881

Cited by 18 publications

(12 citation statements)

References 17 publications

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“…Although a comparison of these methods is analysed in Ref. [10], the settings are different here. Importantly, quantisation noise is not considered in our previous work.…”

Section: Simulated Resultsmentioning

confidence: 99%

“…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%

See 2 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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“…Although a comparison of these methods is analysed in Ref. [10], the settings are different here. Importantly, quantisation noise is not considered in our previous work.…”

Section: Simulated Resultsmentioning

confidence: 99%

Section: Signal Model and System Descriptionmentioning

confidence: 99%

Section: Signal Model and System Descriptionmentioning

confidence: 99%

See 1 more Smart Citation

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

Mulleti

Eliya

Savariego

et al. 2023

IET Circuits, Devices & Syst

Self Cite

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“…Next, consider an ω m -bandlimited function h(t) = f 1 (t) − f 2 (t). Since h(nT s ) = f 1 (nT s ) − f 2 (nT s ), from (32) we have that h(nT s ) = 0, |n| > N λ .…”

Section: Discussionmentioning

confidence: 97%

“…For ease of discussion, we first present the algorithm for the modulo operator and then extend it to the general non-linear operator. The modulo setting is also considered in [32].…”

Section: A Robust and Lowrate Recovery Algorithmmentioning

confidence: 99%

Robust Unlimited Sampling Beyond Modulo

Azar¹,

Mulleti²,

Eldar³

2022

Preprint

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Analog to digital converters (ADCs) act as a bridge between the analog and digital domains. Two important attributes of any ADC are sampling rate and its dynamic range. For bandlimited signals, the sampling should be above the Nyquist rate. It is also desired that the signals' dynamic range should be within that of the ADC's; otherwise, the signal will be clipped. Nonlinear operators such as modulo or companding can be used prior to sampling to avoid clipping. To recover the true signal from the samples of the nonlinear operator, either high sampling rates are required or strict constraints on the nonlinear operations are imposed, both of which are not desirable in practice. In this paper, we propose a generalized flexible nonlinear operator which is sampling efficient. Moreover, by carefully choosing its parameters, clipping, modulo, and companding can be seen as special cases of it. We show that bandlimited signals are uniquely identified from the nonlinear samples of the proposed operator when sampled above the Nyquist rate. Furthermore, we propose a robust algorithm to recover the true signal from the nonlinear samples. We show that our algorithm has the lowest meansquared error while recovering the signal for a given sampling rate, noise level, and dynamic range of the compared to existing algorithms. Our results lead to less constrained hardware design to address the dynamic range issues while operating at the lowest rate possible.

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