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Compressed sensing is now established as an effective method for dimension reduction when the underlying signals are sparse or compressible with respect to some suitable basis or frame. One important, yet under-addressed problem regarding…

Information Theory · Computer Science 2016-04-05 Rayan Saab , Rongrong Wang , Ozgur Yilmaz

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

Analog signals processed in digital hardware are quantized into a discrete bit-constrained representation. Quantization is typically carried out using analog-to-digital converters (ADCs), operating in a serial scalar manner. In some…

Information Theory · Computer Science 2019-10-22 Alejandro Cohen , Nir Shlezinger , Salman Salamatian , Yonina C. Eldar , Muriel Médard

One-bit quantization with time-varying sampling thresholds has recently found significant utilization potential in statistical signal processing applications due to its relatively low power consumption and low implementation cost. In…

Information Theory · Computer Science 2023-03-20 Arian Eamaz , Farhang Yeganegi , Deanna Needell , Mojtaba Soltanalian

Quantization is an essential step in digitizing signals, and, therefore, an indispensable component of any modern acquisition system. This book chapter explores the interaction of quantization and compressive sensing and examines practical…

Information Theory · Computer Science 2014-11-26 Petros T. Boufounos , Laurent Jacques , Felix Krahmer , Rayan Saab

Quantizers play a critical role in digital signal processing systems. Recent works have shown that the performance of quantization systems acquiring multiple analog signals using scalar analog-to-digital converters (ADCs) can be…

Signal Processing · Electrical Eng. & Systems 2019-08-20 Nir Shlezinger , Yonina C. Eldar

A general method for compressing the modulation time-bandwidth product of analog signals is introduced and experimentally demonstrated. As one of its applications, this physics-based signal grooming performs feature-selective stretch,…

Optics · Physics 2015-06-16 Mohammad H. Asghari , Bahram Jalali

Graph signals arise in various applications, ranging from sensor networks to social media data. The high-dimensional nature of these signals implies that they often need to be compressed in order to be stored and transmitted. The common…

Signal Processing · Electrical Eng. & Systems 2021-10-26 Pei Li , Nir Shlezinger , Haiyang Zhang , Baoyun Wang , Yonina C. Eldar

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

Representing a continuous-time signal by a set of samples is a classical problem in signal processing. We study this problem under the additional constraint that the samples are quantized or compressed in a lossy manner under a limited…

Information Theory · Computer Science 2018-04-12 Alon Kipnis , Yonina C. Eldar , Andrea J. Goldsmith

One-bit quantization with time-varying sampling thresholds (also known as random dithering) has recently found significant utilization potential in statistical signal processing applications due to its relatively low power consumption and…

Information Theory · Computer Science 2024-01-17 Arian Eamaz , Farhang Yeganegi , Deanna Needell , Mojtaba Soltanalian

We consider the task of converting different digital descriptions of analog bandlimited signals and systems into each other, with a rigorous application of mathematical computability theory. Albeit very fundamental, the problem appears in…

Information Theory · Computer Science 2022-10-11 Holger Boche , Ullrich J. Mönich , Yannik N. Böck , Frank H. P. Fitzek

In task-based quantization, a multivariate analog signal is transformed into a digital signal using a limited number of low-resolution analog-to-digital converters (ADCs). This process aims to minimize a fidelity criterion, which is…

Information Theory · Computer Science 2024-02-05 Marian Temprana Alonso , Farhad Shirani , Neil Irwin Bernardo , Yonina C. Eldar

In general, real world signals are analog in nature. To capture these signals for further processing, or transmission, signals are converted into digital bits using analog-to-digital converter (ADC). In this conversion, a good amount of…

Signal Processing · Electrical Eng. & Systems 2019-12-10 Neha Jain , Bhawna Tiwari , Anubha Gupta , Vivek Ashok Bohara , Pydi Ganga Bahubalindruni

Quantization plays a critical role in digital signal processing systems. Quantizers are typically designed to obtain an accurate digital representation of the input signal, operating independently of the system task, and are commonly…

Information Theory · Computer Science 2019-10-02 Nir Shlezinger , Yonina C. Eldar , Miguel R. D. Rodrigues

Xampling generalizes compressed sensing (CS) to reduced-rate sampling of analog signals. A unified framework is introduced for low rate sampling and processing of signals lying in a union of subspaces. Xampling consists of two main blocks:…

Information Theory · Computer Science 2015-03-19 Moshe Mishali , Yonina C. Eldar

This paper presents a new paradigm for image transmission through analog error correction codes. Conventional schemes rely on digitizing images through quantization (which inevitably causes significant bandwidth expansion) and transmitting…

Multimedia · Computer Science 2011-08-04 Yang Liu , Jing , Li , Kai Xie

We consider a resource-limited scenario where a sensor that uses compressed sensing (CS) collects a low number of measurements in order to observe a sparse signal, and the measurements are subsequently quantized at a low bit-rate followed…

Information Theory · Computer Science 2015-06-19 Amirpasha Shirazinia , Saikat Chatterjee , Mikael Skoglund

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

Two-channel modulo analog-to-digital converters (ADCs) enable high-dynamic-range signal sensing at the Nyquist rate per channel, but existing designs quantise both channel outputs independently, incurring redundant bitrate costs. This paper…

Signal Processing · Electrical Eng. & Systems 2026-01-21 Wenyi Yan , Zeyuan Li , Lu Gan , Honqing Liu , Guoquan Li
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