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We study the capacity of the discrete-time Gaussian channel when its output is quantized with a one-bit quantizer. We focus on the low signal-to-noise ratio (SNR) regime, where communication at very low spectral efficiencies takes place. In…

Information Theory · Computer Science 2013-04-08 Tobias Koch , Amos Lapidoth

We study channel capacity when a one-bit quantizer is employed at the output of the discrete-time average-power-limited Rayleigh-fading channel. We focus on the low signal-to-noise ratio regime, where communication at very low spectral…

Information Theory · Computer Science 2011-12-23 Tobias Koch , Amos Lapidoth

We investigate the limits of communication over the discrete-time Additive White Gaussian Noise (AWGN) channel, when the channel output is quantized using a small number of bits. We first provide a proof of our recent conjecture on the…

Information Theory · Computer Science 2008-05-15 Jaspreet Singh , Onkar Dabeer , Upamanyu Madhow

This paper studies the capacity of the peak-and-average-power-limited Gaussian channel when its output is quantized using a dithered, infinite-level, uniform quantizer of step size $\Delta$. It is shown that the capacity of this channel…

Information Theory · Computer Science 2014-04-28 Tobias Koch

To relax power consumption requirements in multigigabit/s communications systems low resolution quantization can be used. Information-theoretic results have shown that systems employing 1-bit quantization and oversampling are a viable…

Information Theory · Computer Science 2016-04-14 Tim Hälsig , Lukas Landau , Gerhard Fettweis

The use of 1-bit analog-to-digital converters (ADCs) is seen as a promising approach to significantly reduce the power consumption and hardware cost of multiple-input multiple-output (MIMO) receivers. However, the nonlinear distortion due…

Information Theory · Computer Science 2022-10-12 Neil Irwin Bernardo , Jingge Zhu , Yonina C. Eldar , Jamie Evans

We investigate design and performance of communications over the bandlimited Gaussian channel with one-bit output quantization. A transceiver structure is proposed, which generates the channel input using a finite set of time-limited and…

Information Theory · Computer Science 2020-11-05 Rui Deng , Jing Zhou , Wenyi Zhang

We analyze the performance of multiple-input multiple-output (MIMO) links with one-bit output quantization in terms of achievable rates and characterize their performance loss compared to unquantized systems for general channel statistical…

Information Theory · Computer Science 2017-12-18 Amine Mezghani , Josef A. Nossek , A. Lee Swindelhurst

We consider a continuous-time bandlimited additive white Gaussian noise channel with 1-bit output quantization. On such a channel the information is carried by the temporal distances of the zero-crossings of the transmit signal. The set of…

Information Theory · Computer Science 2017-09-25 Sandra Bender , Meik Dörpinghaus , Gerhard Fettweis

Motivated by recent high bandwidth communication systems, Inter-Symbol Interference (ISI) channels with 1-bit quantized output are considered under an average-power-constrained continuous input. While the exact capacity is difficult to…

Information Theory · Computer Science 2015-05-05 Radha Krishna Ganti , Andrew Thangaraj , Arijit Mondal

It is demonstrated that doubling the sampling rate recovers some of the loss in capacity incurred on the bandlimited Gaussian channel with a one-bit output quantizer.

Information Theory · Computer Science 2010-09-16 Tobias Koch , Amos Lapidoth

Parameter estimation using quantized observations is of importance in many practical applications. Under a symmetric $1$-bit setup, consisting of a zero-threshold hard-limiter, it is well known that the large sample performance loss for low…

Information Theory · Computer Science 2016-11-17 Manuel Stein , Shahar Bar , Josef A. Nossek , Joseph Tabrikian

The problem of signal parameter estimation and tracking with measurement data of low resolution is considered. In comparison to an ideal receiver with infinite receive resolution, the performance loss of a simplistic receiver with 1-bit…

Information Theory · Computer Science 2015-10-28 Manuel Stein , Alexander Kürzl , Amine Mezghani , Josef A. Nossek

In this work, the problem of signal parameter estimation from measurements acquired by a low-complexity analog-to-digital converter (ADC) with $1$-bit output resolution and an unknown quantization threshold is considered. Single-comparator…

Information Theory · Computer Science 2018-05-09 Manuel S. Stein , Shahar Bar , Josef A. Nossek , Joseph Tabrikian

In this work, we investigate the capacity of multi-antenna fading channels with 1-bit quantized output per receive antenna. Specifically, leveraging Bayesian statistical tools, we analyze the asymptotic regime with a large number of receive…

Information Theory · Computer Science 2024-07-24 Sheng Yang , Richard Combes

We consider general multi-antenna fading channels with coarsely quantized outputs, where the channel is unknown to the transmitter and receiver. This analysis is of interest in the context of sensor network communication where low power and…

Information Theory · Computer Science 2010-10-28 Amine Mezghani , Josef A. Nossek

With bandwidths on the order of a gigahertz in emerging wireless systems, high-resolution analog-to-digital convertors (ADCs) become a power consumption bottleneck. One solution is to employ low resolution one-bit ADCs. In this paper, we…

Information Theory · Computer Science 2015-11-09 Jianhua Mo , Robert W. Heath

Interference is a major issue that limits the performance in wireless networks, and cooperation among receivers can help mitigate interference by forming distributed MIMO systems. The rate at which receivers cooperate, however, is limited…

Information Theory · Computer Science 2009-08-20 I-Hsiang Wang , David N. C. Tse

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

We determine the loss in capacity incurred by using signal constellations with a bounded support over general complex-valued additive-noise channels for suitably high signal-to-noise ratio. Our expression for the capacity loss recovers the…

Information Theory · Computer Science 2016-11-17 Tobias Koch , Alfonso Martinez , Albert Guillén i Fàbregas
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