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Quantization plays a critical role in digital signal processing systems, allowing the representation of continuous amplitude signals with a finite number of bits. However, accurately representing signals requires a large number of…

Signal Processing · Electrical Eng. & Systems 2023-01-30 Xing Zhang , Haiyang Zhang , Nimrod Glazer , Oded Cohen , Eliya Reznitskiy , Shlomi Savariego , Moshe Namer , Yonina C. Eldar

Traditional quantum metrology assesses precision using the figures of merit of continuous-valued parameter estimation. Recently, quantum digital estimation was introduced: it evaluates the performance information-theoretically by…

There have been a number of studies on sparse signal recovery from one-bit quantized measurements. Nevertheless, little attention has been paid to the choice of the quantization thresholds and its impact on the signal recovery performance.…

Information Theory · Computer Science 2013-05-21 Jun Fang , Yanning Shen , Hongbin Li

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…

Signal Processing · Electrical Eng. & Systems 2023-01-10 Arian Eamaz , Farhang Yeganegi , Deanna Needell , Mojtaba Soltanalian

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

Data compression is a ubiquitous aspect of modern information technology, and the advent of quantum information raises the question of what types of compression are feasible for quantum data, where it is especially relevant given the…

Quantum Physics · Physics 2014-12-17 Lee A. Rozema , Dylan H. Mahler , Alex Hayat , Peter S. Turner , Aephraim M. Steinberg

There exist measuring devices where an analog input is converted into a digital output. Such converters can have a nonlinear internal dynamics. We show how measurements with such converting devices can be understood using concepts from…

chao-dyn · Physics 2015-06-24 T. Kapitaniak , K. Zyczkowski , U. Feudel , C. Grebogi

Noise-shaping quantization techniques are widely used for converting bandlimited signals from the analog to the digital domain. They work by ``shaping" the quantization noise so that it falls close to the reconstruction operator's null…

Information Theory · Computer Science 2026-05-21 Rohan Joy , Felix Krahmer , Alessandro Lupoli , Radha Ramakrishnan

We consider a resource-constrained scenario where a compressed sensing- (CS) based sensor has a low number of measurements which are quantized at a low rate followed by transmission or storage. Applying this scenario, we develop a new…

Information Theory · Computer Science 2014-05-01 Amirpasha Shirazinia , Saikat Chatterjee , Mikael Skoglund

Quantizers take part in nearly every digital signal processing system which operates on physical signals. They are commonly designed to accurately represent the underlying signal, regardless of the specific task to be performed on the…

Signal Processing · Electrical Eng. & Systems 2019-07-24 Nir Shlezinger , Yonina C. Eldar , Miguel R. D. Rodrigues

A new segmented compressed sampling method for analog-to-information conversion (AIC) is proposed. An analog signal measured by a number of parallel branches of mixers and integrators (BMIs), each characterized by a specific random sampling…

Information Theory · Computer Science 2015-05-18 Omid Taheri , Sergiy A. Vorobyov

The exponential growth in data generation and large-scale data analysis creates an unprecedented need for inexpensive, low-latency, and high-density information storage. This need has motivated significant research into multi-level memory…

One requirement of maintaining digital information is storage. With the latest advances in the digital world, new emerging media types have required even more storage space to be kept than before. In fact, in many cases it is required to…

Data Structures and Algorithms · Computer Science 2025-01-22 Vasileios Alevizos , Nikitas Gerolimos , Sabrina Edralin , Clark Xu , Akebu Simasiku , Georgios Priniotakis , George Papakostas , Zongliang Yue

Imaging and Image sensors is a field that is continuously evolving. There are new products coming into the market every day. Some of these have very severe Size, Weight and Power constraints whereas other devices have to handle very high…

Computer Vision and Pattern Recognition · Computer Science 2016-04-01 Nihar Athreyas , Zhiguo Lai , Jai Gupta , Dev Gupta

Quantum compression can be thought of not only as compression of a signal, but also as a form of cooling. In this view, one is interested not in the signal, but in obtaining purity. In compound systems, one may be interested to cool the…

Quantum Physics · Physics 2007-05-23 Michal Horodecki , Pawel Horodecki , Jonathan Oppenheim

ADCs sit at the interface of the analog and digital worlds and fundamentally determine what information is available in the digital domain for processing. This paper shows that a configurable ADC can be designed for signals with non…

Information Theory · Computer Science 2013-05-14 Arthur J. Redfern , Kun Shi

The Compressive Sensing framework maintains relevance even when the available measurements are subject to extreme quantization, as is exemplified by the so-called one-bit compressed sensing framework which aims to recover a signal from…

Numerical Analysis · Mathematics 2015-06-03 Phillip North , Deanna Needell

Noise shaping refers to an analog-to-digital conversion methodology in which quantization error is arranged to lie mostly outside the signal spectrum by means of oversampling and feedback. Recently it has been successfully applied to more…

Information Theory · Computer Science 2015-02-23 Evan Chou , C. Sinan Güntürk , Felix Krahmer , Rayan Saab , Özgür Yılmaz

Signal processing stands as a pillar of classical computation and modern information technology, applicable to both analog and digital signals. Recently, advancements in quantum information science have suggested that quantum signal…

Signal Processing · Electrical Eng. & Systems 2025-10-27 Yuan Liu , John M. Martyn , Jasmine Sinanan-Singh , Kevin C. Smith , Steven M. Girvin , Isaac L. Chuang

The present work attempts both a review of previous methods for transferring digital and symbolic computations in an analog or optical substrate and also to offer certain alternatives not yet fully explored. The essential difference from…

Signal Processing · Electrical Eng. & Systems 2019-02-21 T. E. Raptis