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As the demand for higher data throughput in coherent optical communication systems increases, we need to find ways to increase capacity in existing and future optical communication links. To address the demand for higher spectral…

Signal Processing · Electrical Eng. & Systems 2023-04-25 Andrej Rode , Benedikt Geiger , Shrinivas Chimmalgi , Laurent Schmalen

The study on carrier phase estimation (CPE) approaches, involving a one-tap normalized least-mean-square (NLMS) algorithm, a block-wise average algorithm, and a Viterbi-Viterbi algorithm has been carried out in the long-haul high-capacity…

Information Theory · Computer Science 2017-03-30 Tianhua Xu , Polina Bayvel , Tiegen Liu , Yimo Zhang , Gunnar Jacobsen , Jie Li , Sergei Popov

We introduce a Bayesian carrier phase recovery (CPR) algorithm which is robust against low signal-to-noise ratio scenarios. It is therefore effective for phase recovery for probabilistic amplitude shaping (PAS). Results validate that the…

Signal Processing · Electrical Eng. & Systems 2023-09-11 Mohammad Taha Askari , Lutz Lampe

Compared to the linear MIMO detectors, the Belief Propagation (BP) detector has shown greater capabilities in achieving near optimal performance and better nature to iteratively cooperate with channel decoders. Aiming at real applications,…

Information Theory · Computer Science 2022-06-28 Wenyue Zhou , Yifei Shen , Liping Li , Yongming Huang , Chuan Zhang , Xiaohu You

The analysis of adaptive carrier phase estimation is investigated in long-haul high speed n-level phase shift keying (n-PSK) optical fiber communication systems based on the one-tap normalized least-mean-square (LMS) algorithm. The…

Information Theory · Computer Science 2016-11-15 Tianhua Xu , Tiegen Liu , Yimo Zhang , Gunnar Jacobsen , Jie Li , Sergei Popov

Probabilistic shaping (PS) is a promising technique to approach the Shannon limit using typical constellation geometries. However, the impact of PS on the chain of signal processing algorithms of a coherent receiver still needs further…

Signal Processing · Electrical Eng. & Systems 2018-09-14 Darli A. A. Mello , Fabio A. Barbosa , Jacklyn D. Reis

This paper introduces a novel blind carrier phase recovery estimator for general 2{\Pi}/M-rotationally symmetric constellations. This estimation method is a generalization of the non-data-aided (NDA) nonlinear Phase Metric Method (PMM)…

Information Theory · Computer Science 2012-03-12 Emna Ben Slimane , Slaheddine Jarboui , Ammar Bouallègue

The problem of phase-noise compensation for correlated phase noise in coded multichannel optical transmission is investigated. To that end, a simple multichannel phase-noise model is considered and the maximum a posteriori detector for this…

Information Theory · Computer Science 2019-10-15 Arni F. Alfredsson , Erik Agrell , Henk Wymeersch

We consider least squares estimators of carrier phase and amplitude from a noisy communications signal that contains both pilot signals, known to the receiver, and data signals, unknown to the receiver. We focus on signaling constellations…

Information Theory · Computer Science 2015-06-12 Robby McKilliam , Andre Pollok , Bill Cowley , I. Vaughan L. Clarkson , Barry Quinn

Using coherent optical detection and digital signal processing, laser phase noise and equalization enhanced phase noise can be effectively mitigated using the feed-forward and feed-back carrier phase recovery approaches. In this paper,…

Information Theory · Computer Science 2016-09-23 Tianhua Xu , Gunnar Jacobsen , Sergei Popov , Jie Li , Tiegen Liu , Yimo Zhang , Polina Bayvel

We introduce novel blind and semi-blind channel estimation methods for cellular time-division duplexing systems with a large number of antennas at each base station. The methods are based on the maximum a-posteriori principle given a prior…

Information Theory · Computer Science 2015-03-31 David Neumann , Michael Joham , Wolfgang Utschick

The belief propagation (BP) algorithm is widely applied to perform approximate inference on arbitrary graphical models, in part due to its excellent empirical properties and performance. However, little is known theoretically about when…

Artificial Intelligence · Computer Science 2012-06-26 Alexander T. Ihler

Phase estimation is known to be a robust method for single-qubit gate calibration in quantum computers, while Bayesian estimation is widely used in devising optimal methods for learning in quantum systems. We present Bayesian phase…

Quantum Physics · Physics 2025-05-06 Brennan de Neeve , Andrey V. Lebedev , Vlad Negnevitsky , Jonathan P. Home

In this work, we derive the maximum a posteriori (MAP) symbol detector for a multiple-input multiple-output system in the presence of Wiener phase noise due to noisy local oscillators. As in single-antenna systems, the computation of the…

Information Theory · Computer Science 2013-12-10 Rajet Krishnan , Giulio Colavolpe , Alexandre Graell i Amat , Thomas Eriksson

The Viterbi & Viterbi (V&V) algorithm is well understood for QPSK and 16-QAM, but modifications are required for higher-order modulation formats. We present an approach to extend the standard V&V algorithm for higher-order modulation…

Information Theory · Computer Science 2023-10-19 Andrej Rode , Wintana Araya Gebrehiwot , Shrinivas Chimmalgi , Laurent Schmalen

For line spectrum estimation, we derive the maximum a posteriori probability estimator where prior knowledge of frequencies is modeled probabilistically. Since the spectrum is periodic, an appropriate distribution is the circular von Mises…

Statistics Theory · Mathematics 2013-06-26 Dave Zachariah , Petter Wirfält , Magnus Jansson , Saikat Chatterjee

In this paper, we present an information theoretic analysis of the blind signal classification algorithm. We show that the algorithm is equivalent to a Maximum A Posteriori (MAP) estimator based on estimated parametric probability models.…

Information Theory · Computer Science 2010-01-13 Xudong Ma

We present a novel method to investigate the effects of varying channel parameters on geometrically shaped constellations for communication systems employing the blind phase search algorithm. We show that introduced asymmetries…

Signal Processing · Electrical Eng. & Systems 2022-06-30 Andrej Rode , Laurent Schmalen

The sensitivity in optical interferometry is strongly affected by losses during the signal propagation or at the detection stage. The optimal quantum states of the probing signals in the presence of loss were recently found. However, in…

Maximum a posteriori and Bayes estimators are two common methods of point estimation in Bayesian Statistics. It is commonly accepted that maximum a posteriori estimators are a limiting case of Bayes estimators with 0-1 loss. In this paper,…

Statistics Theory · Mathematics 2018-02-23 Robert Bassett , Julio Deride
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