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Sigma-Delta modulation is a popular method for analog-to-digital conversion of bandlimited signals that employs coarse quantization coupled with oversampling. The standard mathematical model for the error analysis of the method measures the…

Information Theory · Computer Science 2010-01-29 Percy Deift , C. Sinan Güntürk , Felix Krahmer

In Analog-to-digital (A/D) conversion, signal decimation has been proven to greatly improve the efficiency of data storage while maintaining high accuracy. When one couples signal decimation with the $\Sigma\Delta$ quantization scheme, the…

Information Theory · Computer Science 2019-11-14 Kung-Ching Lin

Coarsely quantized MIMO signalling methods have gained popularity in the recent developments of massive MIMO as they open up opportunities for massive MIMO implementation using cheap and power-efficient radio-frequency front-ends. This…

Information Theory · Computer Science 2020-01-08 Mingjie Shao , Wing-Kin Ma , Qiang Li , Lee Swindlehurst

We study Sigma-Delta ($\Sigma\Delta$) quantization of oversampled bandlimited functions. We prove that digitally integrating blocks of bits and then down-sampling, a process known as decimation, can efficiently encode the associated…

Information Theory · Computer Science 2023-07-19 Ingrid Daubechies , Rayan Saab

The signal bandwidth of Digital to Analog Converters based on Sigma Delta Modulation is limited by speed constrains. Time-Interleaving allows coping with complexity vs. speed by replacing the original architecture by M parallel paths. These…

Signal Processing · Electrical Eng. & Systems 2026-02-27 Juana M. Martínez-Heredia , Alfredo P. Vega-Leal

In this paper, we study error diffusion techniques for digital halftoning from the perspective of 1-bit Sigma-Delta quantization. We introduce a method to generate Sigma-Delta schemes for two-dimensional signals as a weighted combination of…

Numerical Analysis · Mathematics 2024-06-19 Felix Krahmer , Anna Veselovska

This paper considers the context of multiuser massive MIMO downlink precoding with low-resolution digital-to-analog converters (DACs) at the transmitter. This subject is motivated by the consideration that it is expensive to employ…

Signal Processing · Electrical Eng. & Systems 2024-02-28 Wai-Yiu Keung , Wing-Kin Ma

Several analog-to-digital conversion methods for bandlimited signals used in applications, such as Sigma Delta quantization schemes, employ coarse quantization coupled with oversampling. The standard mathematical model for the error accrued…

Information Theory · Computer Science 2010-04-21 Felix Krahmer , Rachel Ward

Digital/Analog converters based on sigma-delta modulation are simple and unexpensive circuits featuring a signal bandwidth limited by speed constraints. Multi-bit modulators allow balancing complexity and speed by reducing the clock…

Signal Processing · Electrical Eng. & Systems 2025-12-16 Marta Laguna , Juana M. Martínez-Heredia , Manuel G. Satué

In Analog-to-digital (A/D) conversion, signal decimation has been proven to greatly improve the efficiency of data storage while maintaining high accuracy. When one couples signal decimation with the $\Sigma\Delta$ quantization scheme, the…

Information Theory · Computer Science 2020-02-06 Kung-Ching Lin

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

Sampling above the Nyquist rate is at the heart of sigma-delta modulation, where the increase in sampling rate is translated to a reduction in the overall (mean-squared-error) reconstruction distortion. This is attained by using a feedback…

Information Theory · Computer Science 2015-06-10 Or Ordentlich , Uri Erez

We study the problem of approximately recovering signals on a manifold from one-bit linear measurements drawn from either a Gaussian ensemble, partial circulant ensemble, or bounded orthonormal ensemble and quantized using Sigma-Delta or…

Information Theory · Computer Science 2019-04-25 Mark Iwen , Eric Lybrand , Aaron Nelson , Rayan Saab

Continuous-time Sigma-Delta (CT-$\Sigma\Delta$) modulators are oversampling Analog-to-Digital converters that may provide higher sampling rates and lower power consumption than their discrete counterpart. Whereas approximation errors are…

Signal Processing · Electrical Eng. & Systems 2021-03-18 Dilshad Surroop , Pascal Combes , Philippe Martin

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

Analog multiplexing for sigma delta modulated Digital to Analog Converters has been recently proposed as a means of achieving robustness. This preprint analyses said scheme via simulations. The main limitation introduced by the proposed…

Systems and Control · Electrical Eng. & Systems 2026-03-20 Alfredo P. Vega-Leal , Jose L. Mora

This paper focuses on channel estimation in single-user and multi-user MIMO systems with multi-antenna base stations equipped with 1-bit spatial sigma-delta analog-to-digital converters (ADCs). A careful selection of the quantization…

Signal Processing · Electrical Eng. & Systems 2021-09-21 R. S. Prasobh Sankar , Sundeep Prabhakar Chepuri

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

In a growing number of applications, there is a need to digitize a (possibly high) number of correlated signals whose spectral characteristics are challenging for traditional analog-to-digital converters (ADCs). Examples, among others,…

Information Theory · Computer Science 2021-10-13 Amir Weiss , Everest Huang , Or Ordentlich , Gregory W. Wornell

Today's communication systems typically use high resolution analog-to-digital converters (ADCs). However, considering future communication systems with data rates in the order of 100Gbit/s the ADC power consumption becomes a major factor…

Information Theory · Computer Science 2019-12-03 Gerhard Fettweis , Meik Dörpinghaus , Sandra Bender , Lukas Landau , Peter Neuhaus , Martin Schlüter
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