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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

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

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

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

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

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

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

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

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

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

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

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

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

The need to digitize signals with intricate spectral characteristics often challenges traditional analog-to-digital converters (ADCs). The recently proposed modulo-ADC architecture offers a promising alternative by leveraging inherent…

Signal Processing · Electrical Eng. & Systems 2024-12-25 Amir Weiss

Systems that capture and process analog signals must first acquire them through an analog-to-digital converter. While subsequent digital processing can remove statistical correlations present in the acquired data, the dynamic range of the…

Information Theory · Computer Science 2019-01-30 Or Ordentlich , Gizem Tabak , Pavan Kumar Hanumolu , Andrew C. Singer , Gregory W. Wornell

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

In this paper, we investigate the relationship between the dynamic range and quantization noise power in modulo analog-to-digital converters (ADCs). Two modulo ADC systems are considered: (1) a modulo ADC which outputs the folded samples…

Signal Processing · Electrical Eng. & Systems 2025-09-03 Neil Irwin Bernardo , Shaik Basheeruddin Shah , Yonina C. Eldar

Modulo sampling is a promising technology to preserve amplitude information that exceeds the observable range of analog-to-digital converters during the digitization of analog signals. Since conventional methods typically reconstruct the…

Signal Processing · Electrical Eng. & Systems 2026-02-19 Haruka Kobayashi , Ryo Hayakawa

Modulo sampling and dithered one-bit quantization frameworks have emerged as promising solutions to overcome the limitations of traditional analog-to-digital converters (ADCs) and sensors. Modulo sampling, with its high-resolution approach…

Signal Processing · Electrical Eng. & Systems 2023-09-11 Arian Eamaz , Farhang Yeganegi , Mojtaba Soltanalian

Analog-to-Digital Converters (ADCs) are essential components in modern data acquisition systems. A key design challenge is accommodating high dynamic range (DR) input signals without clipping. Existing solutions, such as oversampling,…

Signal Processing · Electrical Eng. & Systems 2024-12-18 Shaik Basheeruddin Shah , Satish Mulleti , Yonina C. Eldar
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