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

Information Theory · Computer Science 2011-06-01 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

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

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 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

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

We study the input-entropy-constrained Gaussian channel capacity problem in the asymptotic high signal-to-noise ratio (SNR) regime. We show that the capacity-achieving distribution as SNR goes to infinity is given by a discrete Gaussian…

Information Theory · Computer Science 2026-01-16 Adway Girish , Shlomo Shamai , Emre Telatar

The capacity of non-coherent stationary Gaussian fading channels with memory under a peak-power constraint is studied in the asymptotic weak-signal regime. It is assumed that the fading law is known to both transmitter and receiver but that…

Information Theory · Computer Science 2007-07-13 Amos Lapidoth , Ligong Wang

The capacity of a discrete-time memoryless channel, in which successive symbols fade independently, and where the channel state information (CSI) is neither available at the transmitter nor at the receiver, is considered at low SNR. We…

Information Theory · Computer Science 2008-01-04 Z. Rezki , David Haccoun , François Gagnon

We address the capacity of a discrete-time memoryless Gaussian channel, where the channel state information (CSI) is neither available at the transmitter nor at the receiver. The optimal capacity-achieving input distribution at low…

Information Theory · Computer Science 2008-05-05 Z. Rezki , David Haccoun , François Gagnon

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

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

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

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

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

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

In this paper, quantizer design for weak-signal detection under arbitrary binary channel in generalized Gaussian noise is studied. Since the performances of the generalized likelihood ratio test (GLRT) and Rao test are asymptotically…

Signal Processing · Electrical Eng. & Systems 2018-05-09 Guanyu Wang , Jiang Zhu , Zhiwei Xu

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

This paper establishes the capacity of additive white Gaussian noise (AWGN) channels with phase-quantized output. We show that a rotated $2^b$-phase shift keying scheme is the capacity-achieving input distribution for a complex AWGN channel…

Information Theory · Computer Science 2021-09-06 Neil Irwin Bernardo , Jingge Zhu , Jamie Evans

Discrete-time Rayleigh fading single-input single-output (SISO) and multiple-input multiple-output (MIMO) channels are considered, with no channel state information at the transmitter or the receiver. The fading is assumed to be stationary…

Information Theory · Computer Science 2016-11-17 Vignesh Sethuraman , Ligong Wang , Bruce Hajek , Amos Lapidoth
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