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Polarisation amplitude estimation is affected by a positive noise bias, particularly important in regions with low signal-to-noise ratio (SNR). We present a new approach to correct for this bias in the case there is additional information…

Instrumentation and Methods for Astrophysics · Physics 2016-06-29 Matias Vidal , J. P. Leahy , C. Dickinson

Noise radars can be understood in terms of a correlation coefficient which characterizes their detection performance. Although most results in the literature are stated in terms of the signal-to-noise ratio (SNR), we show that it is…

Signal Processing · Electrical Eng. & Systems 2022-04-19 David Luong , Bhashyam Balaji , Sreeraman Rajan

A graph-theoretic analysis is undertaken for a compendium of input-output (transfer) metrics of a standard discrete-time linear synchronization model, including lp gains, frequency responses, frequency-band energy, and Markov parameters. We…

Systems and Control · Electrical Eng. & Systems 2022-07-25 Subir Sarker , Sandip Roy

The increase in capacity provided by coupled SDM systems is fundamentally limited by MDG and ASE noise. Therefore, monitoring MDG and optical SNR is essential for accurate performance evaluation and troubleshooting. Recent works show that…

Link adaptation is a crucial part of many modern communications systems, allowing the system to adapt the transmission and reception strategies to changes in channel conditions. One of the fundamental components of the link adaptation…

Information Theory · Computer Science 2009-09-08 Oded Redlich , Doron Ezri , Dov Wulich

In this paper, we propose to use the discretized version of the so-called Enhanced Gaussian Noise (EGN) model to estimate the non-linearity effects of fiber on the performance of optical coherent and uncompensated transmission (CUT)…

Signal Processing · Electrical Eng. & Systems 2020-02-19 Ramin Hashemi , Mehdi Habibi , Hamzeh Beyranvand , Ali Emami , Mahdi Hashemi , Davood Ranjbar Rafie

We study the convergence of the Expectation-Maximization (EM) algorithm for mixtures of linear regressions with an arbitrary number $k$ of components. We show that as long as signal-to-noise ratio (SNR) is $\tilde{\Omega}(k)$,…

Machine Learning · Computer Science 2019-11-27 Jeongyeol Kwon , Constantine Caramanis

In optical coherence tomography (OCT), axial resolution and signal-to-noise ratio (SNR) are typically viewed as uncoupled parameters. We show that this is only true for mirror-like surfaces, and that in diffuse scattering samples such as…

Optics · Physics 2022-04-06 Danielle J. Harper , Benjamin J. Vakoc

Diffusion Probabilistic Models have demonstrated remarkable performance across a wide range of generative tasks. However, we have observed that these models often suffer from a Signal-to-Noise Ratio-timestep (SNR-t) bias. This bias refers…

Computer Vision and Pattern Recognition · Computer Science 2026-04-20 Meng Yu , Lei Sun , Jianhao Zeng , Xiangxiang Chu , Kun Zhan

The formalism for computing the signal-to-noise ratio (SNR) for laser radar is reviewed and applied to the tasks of target detection, direction-finding, and phase change estimation with squeezed light. The SNR for heterodyne detection of…

Quantum Physics · Physics 2009-08-12 Mark A. Rubin , Sumanth Kaushik

In spectroscopic analysis, the peak-based signal-to-noise ratio (pSNR) is commonly used but suffers from limitations such as sensitivity to noise spikes and reduced effectiveness for broader peaks. We introduce the area-based…

Signal Processing · Electrical Eng. & Systems 2025-12-25 Alex Yu , Huaqing Zhao , Lin Z. Li

An analytical model is presented for assessing the performance of the bit-error-rate (BER) in the differential m-level phase shift keying (m-PSK) transmission systems, where the influence of equalization enhanced phase noise (EEPN) has been…

Information Theory · Computer Science 2016-09-08 Tianhua Xu , Gunnar Jacobsen , Sergei Popov , Tiegen Liu , Yimo Zhang , Polina Bayvel

In the field of audio generation, signal-to-noise ratio (SNR) has long served as an objective metric for evaluating audio quality. Nevertheless, recent studies have shown that SNR and its variants are not always highly correlated with human…

Sound · Computer Science 2026-01-21 Lingling Dai , Andong Li , Cheng Chi , Yifan Liang , Xiaodong Li , Chengshi Zheng

The signal-to-noise ratio (SNR) is a fundamental tool to measure the performance of an image sensor. However, confusions sometimes arise between the two types of SNRs. The first one is the output-referred SNR which measures the ratio…

Image and Video Processing · Electrical Eng. & Systems 2022-06-14 Abhiram Gnanasambandam , Stanley H. Chan

Many multichannel systems use a linear filter to retrieve a signal of interest corrupted by noise whose statistics are partly unknown. The optimal filter in Gaussian noise requires knowledge of the noise covariance matrix $\Sigma$ and in…

Signal Processing · Electrical Eng. & Systems 2021-08-30 Olivier Besson

We consider parameter estimation under sparse linear regression -- an extensively studied problem in high-dimensional statistics and compressed sensing. While the minimax framework has been one of the most fundamental approaches for…

Statistics Theory · Mathematics 2025-01-24 Shubhangi Ghosh , Yilin Guo , Haolei Weng , Arian Maleki

In this work, we address the question of the adaptability of artificial neural networks (NNs) used for impairments mitigation in optical transmission systems. We demonstrate that by using well-developed techniques based on the concept of…

Signal Processing · Electrical Eng. & Systems 2022-01-05 Pedro J. Freire , Daniel Abode , Jaroslaw E. Prilepsky , Nelson Costa , Bernhard Spinnler , Antonio Napoli , Sergei K. Turitsyn

Neural networks are known to develop latent representations that are $aligned$, namely structurally similar across networks trained with different architectures, training protocols, or training datasets. We study this phenomenon in a…

Machine Learning · Statistics 2026-05-27 Ali Hussaini Umar , Alessandro Laio

In wireless communication systems, dual-polarized (DP) instead of single-polarized (SP) multiple-input multiple-output (MIMO) transmission is used to improve the spectral efficiency under certain conditions on the channel and the…

Information Theory · Computer Science 2013-09-13 Adrian Ispas , Xitao Gong , Christian Schneider , Gerd Ascheid , Reiner Thomä

This paper presents the Universal Software Radio Peripheral (USRP) experimental results of the Max-Min signal to noise ratio (SNR) Signal Energy based Spectrum Sensing Algorithms for Cognitive Radio Networks which is recently proposed in…

Applications · Statistics 2014-01-16 Tadilo Endeshaw Bogale , Luc Vandendorpe