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When comparing learned image/video restoration and compression methods, it is common to report peak-signal to noise ratio (PSNR) results. However, there does not exist a generally agreed upon practice to compute PSNR for sets of images or…

Image and Video Processing · Electrical Eng. & Systems 2021-05-03 Onur Keleş , M. Akın Yılmaz , A. Murat Tekalp , Cansu Korkmaz , Zafer Dogan

Line spectral estimation (LSE) involves estimating both spectral frequencies and their associated complex amplitudes. Existing Fisher-information-based benchmarks are local and therefore do not capture either the threshold behavior of…

Signal Processing · Electrical Eng. & Systems 2026-04-28 Fangqing Xiao , Dirk T. M. Slock

In many applications, Image de-noising and improvement represent essential processes in presence of colored noise such that in underwater. Power spectral density of the noise is changeable within a definite frequency range, and…

Image and Video Processing · Electrical Eng. & Systems 2020-09-22 Yasin Yousif Al-Aboosi , Radhi Sehen Issa , Ali khalid Jassim

We study and analyze the fundamental aspects of noise propagation in recurrent as well as deep, multi-layer networks. The main focus of our study are neural networks in analogue hardware, yet the methodology provides insight for networks in…

Emerging Technologies · Computer Science 2020-06-29 Nadezhda Semenova , Xavier Porte , Louis Andreoli , Maxime Jacquot , Laurent Larger , Daniel Brunner

Our objective is to estimate the unknown compositional input from its output response through an unknown system after estimating the inverse of the original system with a training set. The proposed methods using artificial neural networks…

Machine Learning · Computer Science 2020-01-27 Se Un Park

Reconstructing noise-driven nonlinear networks from time series of output variables is a challenging problem, which turns to be very difficult when nonlinearity of dynamics, strong noise impacts and low measurement frequencies jointly…

Statistical Mechanics · Physics 2017-10-20 Rundong Shi , Gang Hu , Shihong Wang

This paper considers least-square based estimation of the amplitude and square amplitude of a quantized sine wave, done by considering random initial record phase. Using amplitude- and frequency-domain modeling techniques, it is shown that…

Signal Processing · Electrical Eng. & Systems 2018-04-23 Paolo Carbone , Johan Schoukens

We investigate the effects of noise on parameterised quantum circuits using spectral analysis and classical signal processing tools. For different noise models, we quantify the additional, higher frequency modes in the output signal caused…

Quantum Physics · Physics 2022-11-11 Enrico Fontana , Ivan Rungger , Ross Duncan , Cristina Cîrstoiu

The problem of structured noise suppression is addressed by i)modelling the subspaces hosting the components of the signal conveying the information and ii)applying a non-extensive nonlinear technique for effecting the right separation.…

Mathematical Physics · Physics 2015-05-13 Zhiqiang Xu , Laura Rebollo-Neira , A. Plastino

In compressed sensing, measurements are typically contaminated by additive noise, and therefore, information about the noise variance is often needed to design algorithms. In this paper, we propose a method for estimating the unknown noise…

Signal Processing · Electrical Eng. & Systems 2025-03-24 Ryo Hayakawa

We experimentally investigated the performance of split nonlinearity compensation schemes for single and multi-channel WDM systems. We show that split NLC SNR gains of more than 0.4 dB at 5540 km can be achieved compared to transmitter- or…

Signal Processing · Electrical Eng. & Systems 2024-08-15 Ronit Sohanpal , Eric Sillekens , Jiaqian Yang , Rômulo Aparecido , Zhixin Liu , Robert Killey , Polina Bayvel

This paper proposes a highly accurate algorithm to estimate the signal-to-noise ratio (SNR) for a linear system from a single realization of the received signal. We assume that the linear system has a Gaussian matrix with one sided left…

Information Theory · Computer Science 2017-10-10 Mohamed A. Suliman , Ayed M. Alrashdi , Tarig Ballal , Tareq Y. Al-Naffouri

We derive the ultimate bounds on the performance of nonlinear measurement schemes in the presence of noise. In particular, we investigate the precision of the second-order estimation scheme in the presence of the two most detrimental types…

Quantum Physics · Physics 2014-02-17 Marcin Zwierz , Howard M. Wiseman

A distributed estimation scheme where the sensors transmit with constant modulus signals over a multiple access channel is considered. The proposed estimator is shown to be strongly consistent for any sensing noise distribution in the…

Information Theory · Computer Science 2015-05-14 Cihan Tepedelenlioglu , Adarsh B. Narasimhamurthy

We consider a wireless sensor network, sampling a bandlimited field, described by a limited number of harmonics. Sensor nodes are irregularly deployed over the area of interest or subject to random motion; in addition sensors measurements…

Other Computer Science · Computer Science 2009-11-13 A. Nordio , C. -F. Chiasserini , E. Viterbo

We consider the problem of fitting a parametric model to time-series data that are afflicted by correlated noise. The noise is represented by a sum of two stationary Gaussian processes: one that is uncorrelated in time, and another that has…

Earth and Planetary Astrophysics · Physics 2014-11-20 Joshua A. Carter , Joshua N. Winn

Given fruitful works in the image monitoring, there is a lack of data-driven tools guiding the practitioners to select proper monitoring procedures. The potential model mismatch caused by the arbitrary selection could deviate the empirical…

Methodology · Statistics 2023-10-03 Tingnan Gong

We use channel probing to determine the best transponder configurations for spectral services in a long-haul production network. An estimation accuracy better than +/- 0,7dB in GSNR margin is obtained for lightpaths up to 5738km.

Networking and Internet Architecture · Computer Science 2021-08-31 Kaida Kaeval , Danish Rafique , Kamil Blawat , Klaus Grobe , Helmut Griesser , Joerg-Peter Elbers , Piotr Rydlichowski , Artur Binczewski , Marko Tikas

An accurate channel estimation is crucial for the novel time domain synchronous orthogonal frequency-division multiplexing (TDS-OFDM) scheme in which pseudo noise (PN) sequences serve as both guard intervals (GI) for OFDM data symbols and…

Information Theory · Computer Science 2012-12-12 Ming Liu , Matthieu Crussière , Jean-François Hélard

Time-decaying perturbations of nonlinear oscillatory systems in the plane are considered. It is assumed that the unperturbed systems are non-isochronous and the perturbations oscillate with an asymptotically constant frequency. Resonance…

Dynamical Systems · Mathematics 2023-10-10 Oskar A. Sultanov