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Related papers: One-Bit Phase Retrieval: More Samples Means Less C…

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In this paper we consider the nonlinear inverse problem of phase retrieval in the context of dynamical sampling. Where phase retrieval deals with the recovery of signals & images from phaseless measurements, dynamical sampling was…

Numerical Analysis · Mathematics 2021-02-02 Robert Beinert , Marzieh Hasannasab

This review article provides a contemporary overview of phase retrieval in optical imaging, linking the relevant optical physics to the information processing methods and algorithms. Its purpose is to describe the current state of the art…

Information Theory · Computer Science 2014-03-03 Yoav Shechtman , Yonina C. Eldar , Oren Cohen , Henry N. Chapman , Jianwei Miao , Mordechai Segev

The phase retrieval problem is a fundamental problem in many fields, which is appealing for investigation. It is to recover the signal vector $\tilde{x}\in\mathbb{C}^d$ from a set of $N$ measurements $b_n=|f^*_n\tilde{x}|^2,\ n=1,\cdots,…

Optimization and Control · Mathematics 2017-08-30 Jian-Feng Cai , Haixia Liu , Yang Wang

In this work, we consider the acquisition of stationary signals using uniform analog-to-digital converters (ADCs), i.e., employing uniform sampling and scalar uniform quantization. We jointly optimize the pre-sampling and reconstruction…

Information Theory · Computer Science 2022-05-12 Peter Neuhaus , Nir Shlezinger , Meik Dörpinghaus , Yonina C. Eldar , Gerhard Fettweis

In diffraction imaging, one is tasked with reconstructing a signal from its power spectrum. To resolve the ambiguity in this inverse problem, one might invoke prior knowledge about the signal, but phase retrieval algorithms in this vein…

Functional Analysis · Mathematics 2013-06-26 Afonso S. Bandeira , Yutong Chen , Dustin G. Mixon

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

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

In a variety of fields, in particular those involving imaging and optics, we often measure signals whose phase is missing or has been irremediably distorted. Phase retrieval attempts to recover the phase information of a signal from the…

Information Theory · Computer Science 2019-10-02 Gilles Baechler , Miranda Kreković , Juri Ranieri , Amina Chebira , Yue M. Lu , Martin Vetterli

We consider the problem of reconstructing two signals from the autocorrelation and cross-correlation measurements. This inverse problem is a fundamental one in signal processing, and arises in many applications, including phase retrieval…

Information Theory · Computer Science 2016-10-11 Kishore Jaganathan , Babak Hassibi

A spectrum- and energy-efficient system is essential for millimeter wave communication systems that require large antenna arrays with power-demanding ADCs. We propose an ADC bit allocation (BA) algorithm that solves a minimum mean squared…

Information Theory · Computer Science 2017-12-07 Jinseok Choi , Junmo Sung , Brian L. Evans , Alan Gatherer

One-bit compressed sensing (1bCS) is an extremely quantized signal acquisition method that has been proposed and studied rigorously in the past decade. In 1bCS, linear samples of a high dimensional signal are quantized to only one bit per…

Information Theory · Computer Science 2022-11-01 Namiko Matsumoto , Arya Mazumdar , Soumyabrata Pal

Phase retrieval, i.e., the problem of recovering a function from the squared magnitude of its Fourier transform, arises in many applications such as X-ray crystallography, diffraction imaging, optics, quantum mechanics, and astronomy. This…

Image and Video Processing · Electrical Eng. & Systems 2020-12-02 Albert Fannjiang , Thomas Strohmer

Receivers with one-bit analog-to-digital converters (ADCs) are promising for high bandwidth millimeter wave (mmWave) systems as they consume less power than their full resolution counterparts. The extreme quantization in one-bit receivers…

Signal Processing · Electrical Eng. & Systems 2020-02-11 Nitin Jonathan Myers , Kayla N. Tran , Robert W. Heath

This paper presents a fully integrated second-order level-crossing sampling data converter for real-time data compression and feature extraction. Compared with level-sampling ADCs which sample at fixed voltage levels, the proposed circuits…

Signal Processing · Electrical Eng. & Systems 2022-12-20 Mario Renteria-Pinon , Xiaochen Tang , Jaime Ramirez-Angulo , Wei Tang

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

Recovering the transmission matrix of a disordered medium is a challenging problem in disordered photonics. Usually, its reconstruction relies on a complex inversion that aims at connecting a fully-controlled input to the deterministic…

In this contribution, it is proposes to limit the quantization search space of a successive approximation analog-to-digital converter through an analytic derivation of maximum possible sample-to-sample variation. The presented example…

Signal Processing · Electrical Eng. & Systems 2019-05-30 Mehdi Safarpour , Reza Inanlou , Olli Silven , Timo Rahkonen , Omid Shoaei

This paper considers uplink massive MIMO systems with 1-bit analog-to-digital converters (ADCs) and develops a deep-learning based channel estimation framework. In this framework, the prior channel estimation observations and deep neural…

Information Theory · Computer Science 2020-05-11 Yu Zhang , Muhammad Alrabeiah , Ahmed Alkhateeb

One-bit compressive sensing has extended the scope of sparse recovery by showing that sparse signals can be accurately reconstructed even when their linear measurements are subject to the extreme quantization scenario of binary…

Information Theory · Computer Science 2016-06-27 Rich Baraniuk , Simon Foucart , Deanna Needell , Yaniv Plan , Mary Wootters

In the past decade, $>$1 Gsps ADCs have become commonplace and are used in many modern 5G base station chips. A major driving force behind this adoption is the benefits of digital up/down-conversion and improved digital filtering. Recent…

Signal Processing · Electrical Eng. & Systems 2025-03-11 Agrim Gupta , Shenggang Dong , Mehmet Mert Sahin , Younghan Nam , Frederik J. Harris , Dinesh Bharadia
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