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Shannon's sampling theorem provides a link between the continuous and the discrete realms stating that bandlimited signals are uniquely determined by its values on a discrete set. This theorem is realized in practice using so called…

Information Theory · Computer Science 2017-11-10 Ayush Bhandari , Felix Krahmer , Ramesh Raskar

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.…

Signal Processing · Electrical Eng. & Systems 2022-06-30 Eyar Azar , Satish Mulleti , Yonina C. Eldar

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…

Signal Processing · Electrical Eng. & Systems 2023-01-31 Satish Mulleti , Eliya Reznitskiy , Shlomi Savariego , Moshe Namer , Nimrod Glazer , Yonina C. Eldar

Analog-to-digital converters (ADCs) play a vital important role in any devices via manipulating analog signals in a digital manner. Given that the amplitude of the signal exceeds the dynamic range of the ADCs, clipping occurs and the…

Signal Processing · Electrical Eng. & Systems 2024-10-28 Jiang Zhu , Junnan Ma , Zhenlong Liu , Fengzhong Qu , Zheng Zhu , Qi Zhang

Two important attributes of analog to digital converters (ADCs) are its sampling rate and dynamic range. The sampling rate should be greater than or equal to the Nyquist rate for bandlimited signals with bounded energy. It is also desired…

Signal Processing · Electrical Eng. & Systems 2021-10-08 Eyar Azar , Satish Mulleti , Yonina C. Eldar

Shannon's sampling theorem is one of the cornerstone topics that is well understood and explored, both mathematically and algorithmically. That said, practical realization of this theorem still suffers from a severe bottleneck due to the…

Information Theory · Computer Science 2020-12-02 Ayush Bhandari , Felix Krahmer , Ramesh Raskar

Conventional digitization based on the Shannon-Nyquist method, implemented via analog-to-digital converters (ADCs), faces fundamental limitations. High-dynamic-range (HDR) signals often get clipped or saturated in practice. Given a fixed…

Signal Processing · Electrical Eng. & Systems 2024-10-29 Yuliang Zhu , Ayush Bhandari

Conventional analog-to-digital converters (ADCs) fail to capture high-dynamic-range (HDR) signals due to clipping. Modulo ADCs circumvent this limitation by folding the input prior to quantization and algorithmically reconstructing the…

Signal Processing · Electrical Eng. & Systems 2025-12-01 Zeyuan Li , Wenyi Yan , Lu Gan , Guoquan Li , Hongqing Liu

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…

Information Theory · Computer Science 2022-04-06 Ayush Bhandari , Felix Krahmer , Thomas Poskitt

Analog-to-digital converters (ADCs) allow physical signals to be processed using digital hardware. The power consumed in conversion grows with the sampling rate and quantization resolution, imposing a major challenge in power-limited…

Signal Processing · Electrical Eng. & Systems 2020-07-17 Neha Jain , Nir Shlezinger , Bhawna Tiwari , Yonina C. Eldar , Anubha Gupta , Vivek Ashok Bohara , Pydi Ganga Bahubalindruni

Analog-to-digital converters (ADCs) allow physical signals to be processed using digital hardware. Their conversion consists of two stages: Sampling, which maps a continuous-time signal into discrete-time, and quantization, i.e.,…

Signal Processing · Electrical Eng. & Systems 2023-01-25 Nir Shlezinger , Ariel Amar , Ben Luijten , Ruud J. G. van Sloun , Yonina C. Eldar

Analog-to-digital converters (ADCs) facilitate the conversion of analog signals into a digital format. While the specific designs and settings of ADCs can vary depending on their applications, it is crucial in many modern applications to…

Signal Processing · Electrical Eng. & Systems 2023-12-19 Satish Mulleti , Timur Zirtiloglu , Arman Tan , Rabia Tugce Yazicigil , Yonina C. Eldar

In this contribution, it is proposes to limit the quantization search space of a successive approximation analog-to-digital converter through an analytic derivation of maximum possible sample-to-sample variation. The presented example…

Signal Processing · Electrical Eng. & Systems 2019-05-30 Mehdi Safarpour , Reza Inanlou , Olli Silven , Timo Rahkonen , Omid Shoaei

In high-dynamic range (HDR) analog-to-digital converters (ADCs), having many quantization bits minimizes quantization errors but results in high bit rates, limiting their application scope. A strategy combining modulo-folding with a low-DR…

Signal Processing · Electrical Eng. & Systems 2023-11-23 Satish Mulleti , Resham Yashwanth Kumar , Laxmeesha Somappa

In a growing number of applications, there is a need to digitize signals whose spectral characteristics are challenging for traditional Analog-to-Digital Converters (ADCs). Examples, among others, include systems where the ADC must acquire…

Signal Processing · Electrical Eng. & Systems 2022-10-12 Amir Weiss , Everest Huang , Or Ordentlich , Gregory W. Wornell

Conventional analog-to-digital converters (ADCs) clip when signals exceed their input range. Modulo (unlimited) sampling overcomes this limitation by folding the signal before digitization, but existing recovery methods are either…

Signal Processing · Electrical Eng. & Systems 2025-09-17 Wenyi Yan , Zeyuan Li , Lu Gan , Honqing Liu , Guoquan Li

Analog-to-digital converters (ADCs) play a critical role in digital signal acquisition across various applications, but their performance is inherently constrained by sampling rates and bit budgets. This bit budget imposes a trade-off…

Signal Processing · Electrical Eng. & Systems 2025-09-10 Vaclav Pavlicek , Ayush Bhandari

The paper deals with the task of optimal design of Analog to Digital Converters (ADCs). A general ADC is modeled as a causal discrete-time dynamical system with outputs taking values in a finite set, and its performance is defined as the…

Optimization and Control · Mathematics 2015-03-17 Mitra Osqui , Alexandre Megretski , Mardavij Roozbehani

The recovery of bandlimited signals with high dynamic range is a hot issue in sampling research. The unlimited sampling theory expands the recordable range of traditional analog-to-digital converters (ADCs) arbitrarily, and the signal is…

Signal Processing · Electrical Eng. & Systems 2023-02-20 Hui Zhao , Bing-Zhao Li

Unlimited sampling provides an acquisition scheme for high dynamic range signals by folding the signal into the dynamic range of the analog-to-digital converter (ADC) using modulo non-linearity prior to sampling to prevent saturation.…

Numerical Analysis · Mathematics 2025-04-09 Matthias Beckmann , Jürgen Jeschke
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