DoA Estimation via Unlimited Sensing

Fernández-Menduiña, Samuel; Krahmer, Felix; Leus, Geert; Bhandari, Ayush

doi:10.23919/eusipco47968.2020.9287595

Cited by 25 publications

(21 citation statements)

References 18 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…For further details and comparisons, see [3]. Recovery with higher orders has clear advantages in the context of applications such as HDR imaging [8], tomography [9], [10] and sensor array processing [11], [12].…”

Section: A Overview Of Unlimited Sampling and Reconstructionmentioning

confidence: 99%

Unlimited Sampling from Theory to Practice: Fourier-Prony Recovery and Prototype ADC

Bhandari,

Krahmer,

Poskitt

2021

Preprint

Self Cite

View full text Add to dashboard Cite

Following 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 starting point is a class of non-idealities that we observe in prototyping an unlimited sampling based analog-to-digital converter. To address these non-idealities, we provide a new Fourier domain recovery algorithm. Our approach is validated both in theory and via extensive experiments on our prototype analog-to-digital converter, providing the first demonstration of unlimited sampling for data arising from real hardware, both for the current and previous approaches. Advantages of our algorithm include that it is agnostic to the modulo threshold and it can handle arbitrary folding times. We expect that the end-to-end realization studied in this paper will pave the path for exploring the unlimited sampling methodology in a number of real world applications.

show abstract

Section: A Overview Of Unlimited Sampling and Reconstructionmentioning

confidence: 99%

Unlimited Sampling from Theory to Practice: Fourier-Prony Recovery and Prototype ADC

Bhandari,

Krahmer,

Poskitt

2021

Preprint

Self Cite

View full text Add to dashboard Cite

show abstract

“…The conceptualization of the USF triggered a number of follow-up studies. A wider class of measurement scenarios were covered including computed tomography [14], [15], sensor array processing [16], [17], and event-driven sampling [18]. For bandlimited signals, which are the main focus in our work, the folded measurements are proven to be injective: a bandlimited function is mapped one-to-one to its modulo samples for sampling rates just above the critical Nyquist rate [19], [20].…”

Section: Related Workmentioning

confidence: 99%

“…To show thats 1 = s 1 , we recall from Lemma 3 that one has either k m = n 1 −N +1 ⇒ β 1 ∈ [0, 1] or k m = n 1 −N +2 ⇒ β 1 ∈ 0, 12N. We evaluate (47) for each case, where ∆ N −1 [−N ] = 0, ∆ N −1 [−N + 1] = 1, and ∆ N −1 [−N + 2] = − (N − 1), which yields(16).…”

mentioning

confidence: 99%

The Surprising Benefits of Hysteresis in Unlimited Sampling: Theory, Algorithms and Experiments

Florescu,

Krahmer,

Bhandari

2021

Preprint

Self Cite

View full text Add to dashboard Cite

The Unlimited Sensing Framework (USF) was recently introduced to overcome the sensor saturation bottleneck in conventional digital acquisition systems. 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. HDR reconstruction is then carried out by algorithmic unfolding of the folded samples. In hardware, however, implementing an ideal modulo folding requires careful calibration, analog design and high precision. 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. Our starting point is a generalized model for USF. The generalization relies on two new parameters modeling hysteresis and folding transients in addition to the modulo threshold. 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. Both these effects are motivated by our hardware experiments and also occur in previous, domain-specific applications.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. Additionally, we show how the proposed recovery can be directly generalized for the case of lower sampling rates. Our theoretical work is corroborated by hardware experiments that are based on a hysteresis enabled, modulo ADC testbed comprising off-the-shelf electronic components. 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.

show abstract

“…Additionally, this method is sensitive to noises. For other works on single-channel modulo ADCs, we refer the readers to [2], [6]- [12] and the references therein.…”

Section: Introductionmentioning

confidence: 99%

Multi-Channel Modulo Samplers Constructed From Gaussian Integers

Gong

Liu

2021

IEEE Signal Process. Lett.

View full text Add to dashboard Cite

Recently, there is an increased interest in the study of modulo analog to digital converters (ADCs). These new systems can reconstruct a signal whose amplitude is much higher than the conventional ADC's dynamic range. Modulo ADCs are characterized by their modulo threshold and in the current literature, all existing works are limited to real-valued moduli. In this paper, we propose multi-channel modulo samplers with complex-valued moduli to sample a band-limited complex signal. Specifically, we discuss the construction of complex divisors from Gaussian integers and propose their efficient implementations. A memory-efficient, closed-form recovery algorithm is also proposed. Simulation results demonstrate that the proposed systems can provide stable reconstruction of a high dynamic range complex-valued signal at low sampling rates.

show abstract

DoA Estimation via Unlimited Sensing

Cited by 25 publications

References 18 publications

Unlimited Sampling from Theory to Practice: Fourier-Prony Recovery and Prototype ADC

Unlimited Sampling from Theory to Practice: Fourier-Prony Recovery and Prototype ADC

The Surprising Benefits of Hysteresis in Unlimited Sampling: Theory, Algorithms and Experiments

Multi-Channel Modulo Samplers Constructed From Gaussian Integers

Contact Info

Product

Resources

About