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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

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

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) provide the link between continuous-time signals and their discrete-time counterparts, and the Shannon-Nyquist sampling theorem provides the mathematical foundation. Real-world signals have a variable…

Signal Processing · Electrical Eng. & Systems 2019-11-22 Adithya Krishna , Sunil Rudresh , Vishal Shaw , Hemanth Reddy Sabbella , Chandra Sekhar Seelamantula , Chetan Singh Thakur

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

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

Sampling shift-invariant (SI) signals with a high dynamic range poses a notable challenge in the domain of analog-to-digital conversion (ADC). It is essential for the ADC's dynamic range to exceed that of the incoming analog signal to…

Signal Processing · Electrical Eng. & Systems 2024-06-18 Yhonatan Kvich , Yonina C. Eldar

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

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

Self-reset analog-to-digital converters (ADCs) are used to sample high dynamic range signals resulting in modulo-operation based folded signal samples. We consider the case where each vertex of a graph (e.g., sensors in a network) is…

Signal Processing · Electrical Eng. & Systems 2020-01-22 Feng Ji , Pratibha , Wee Peng Tay

Recovering signals within limited dynamic range (DR) constraints remains a central challenge for analog-to-digital converters (ADCs). To prevent data loss, an ADCs DR typically must exceed that of the input signal. Modulo sampling has…

Signal Processing · Electrical Eng. & Systems 2025-01-22 Yhonatan Kvich , Shlomi Savariego , Moshe Namer , Yonina C. Eldar

Wideband analog signals push contemporary analog-to-digital conversion systems to their performance limits. In many applications, however, sampling at the Nyquist rate is inefficient because the signals of interest contain only a small…

Information Theory · Computer Science 2016-11-15 Joel A. Tropp , Jason N. Laska , Marco F. Duarte , Justin K. Romberg , Richard G. Baraniuk

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

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

The dynamic range of an analog-to-digital converter (ADC) is critical during sampling of analog signals. A modulo operation prior to sampling can be used to enhance the effective dynamic range of the ADC. Further, sampling rate of ADC too…

Signal Processing · Electrical Eng. & Systems 2022-07-19 Satish Mulleti , Yonina C. Eldar

Periodic nonuniform sampling is a known method to sample spectrally sparse signals below the Nyquist rate. This strategy relies on the implicit assumption that the individual samplers are exposed to the entire frequency range. This…

Information Theory · Computer Science 2009-01-27 Moshe Mishali , Yonina C. Eldar , Joel A. Tropp

We present a sub-Nyquist analog-to-digital converter of wideband inputs. Our circuit realizes the recently proposed modulated wideband converter, which is a flexible platform for sampling signals according to their actual bandwidth…

Cellular Automata and Lattice Gases · Physics 2009-12-15 Moshe Mishali , Yonina C. Eldar , Oleg Dounaevsky , Eli Shoshan

Sampling theories lie at the heart of signal processing devices and communication systems. To accommodate high operating rates while retaining low computational cost, efficient analog-to digital (ADC) converters must be developed. Many of…

Information Theory · Computer Science 2010-10-12 Moslem Rashidi

Conventional sub-Nyquist sampling methods for analog signals exploit prior information about the spectral support. In this paper, we consider the challenging problem of blind sub-Nyquist sampling of multiband signals, whose unknown…

Information Theory · Computer Science 2015-05-13 Moshe Mishali , Yonina C. Eldar

Bandpass signals are an important sub-class of bandlimited signals that naturally arise in a number of application areas but their high-frequency content poses an acquisition challenge. Consequently, "Bandpass Sampling Theory" has been…

Information Theory · Computer Science 2023-07-12 Gal Shtendel , Dorian Florescu , Ayush Bhandari
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