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Optimal One-Bit Quantization

Data Compression Conference, 2005
We consider the problem of finding the optimal one-bit quantizer for symmetric source distributions, with the Euclidean norm as the measure of distortion. For fixed rate quantizers, we prove that for (symmetric) monotonically decreasing source distributions with ellipsoidal level curves, the centroids of the optimal 1-bit quantizer must be on the major
Alessandro Magnani   +2 more
openaire   +1 more source

One-Bit Quantized Channel Prediction with Neural Networks

2021 IEEE 32nd Annual International Symposium on Personal, Indoor and Mobile Radio Communications (PIMRC), 2021
We study the problem of predicting channel coefficients from one-bit quantized observations in an environment of a moving user who sends pilots to a base station. To start with, we propose a prediction algorithm which consists of two stages. The first stage aims at reconstructing the high-resolution (pre-quantization) receive signal.
Nurettin Turan   +2 more
openaire   +1 more source

Nonparametric one-bit quantizers for distributed estimation

2008 IEEE International Symposium on Information Theory, 2008
In this paper, we consider the distributed parameter estimation problem using one-bit quantized data from local sensors. Nonparametric distributed estimators are proposed based on knowledge of the moments of sensor noise. These estimators are shown to be either unbiased or asymptotically unbiased with bounded estimation variance for all possible ...
Hao Chen 0001, Pramod K. Varshney
openaire   +1 more source

On the use of one bit quantizers in networked control

Automatica, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Graham C. Goodwin   +3 more
openaire   +1 more source

Optimum one-bit block quantizing

The Journal of the Acoustical Society of America, 1976
An iterative method is described which allows determination of the optimum parameters of a first-order one-bit quantizer in the least-mean-square error sense. Those parameters are computed from a finite sequence of a block of samples. The reference first-order equation being nonlinear, an iterative substitution method is used to obtain the optimum ...
D. Esteban, J. Menez, J. P. Temine
openaire   +1 more source

Deep Learning-Based Encoder for One-Bit Quantization

2019 IEEE Global Communications Conference (GLOBECOM), 2019
This paper proposes a deep learning-based error correction coding for AWGN channels under the constraint of one-bit quantization in receivers. An autoencoder is designed and integrated with a turbo code that acts as an implicit regularization. This implicit regularizer facilitates approaching the Shannon bound for the one-bit quantized AWGN channels ...
Eren Balevi, Jeffrey G. Andrews
openaire   +1 more source

One-Bit Quantizer Design for Multisensor GLRT Fusion

IEEE Signal Processing Letters, 2013
In this letter, we consider a decentralized detection problem in which a number of sensor nodes collaborate to detect the presence of an unknown deterministic signal. Due to stringent power/bandwidth constraints, each sensor quantizes its local observation into one bit of information.
Jun Fang 0001   +3 more
openaire   +1 more source

On the performance degradation from one-bit quantized detection

IEEE Transactions on Information Theory, 1995
Summary: It is common signal detection practice to base tests on quantized data and frequently, as in decentralized detection, this quantization is extreme: to a single bit. As to the accompanying degradation in performance, certain cases (such as that of an additive signal model and an efficacy measure) are well-understood.
Peter Willett 0001, Peter F. Swaszek
openaire   +3 more sources

Learning a Low-Complexity Channel Estimator for One-Bit Quantization

2020 54th Asilomar Conference on Signals, Systems, and Computers, 2020
A low-complexity convolutional neural network (CNN) channel estimator has been proposed recently, which was designed based on assumptions on the underlying channel model. In this work, we investigate how one-bit quantized observations affect this CNN estimator.
Benedikt Fesl   +3 more
openaire   +1 more source

One‐bit sigma‐delta quantization with exponential accuracy

Communications on Pure and Applied Mathematics, 2003
AbstractOne‐bit quantization is a method of representing bandlimited signals by ±1 sequences that are computed from regularly spaced samples of these signals; as the sampling density λ → ∞, convolving these one‐bit sequences with appropriately chosen filters produces increasingly close approximations of the original signals.
openaire   +2 more sources

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