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In this paper, we propose a sparse signal estimation algorithm that is suitable for many wireless communication systems, especially for the future millimeter wave and underwater communication systems. This algorithm is not only…

Information Theory · Computer Science 2018-07-20 Chongwen Huang , Lei Liu , Chau Yuen

Purpose: To develop neural network (NN)-based quantitative MRI parameter estimators with minimal bias and a variance close to the Cram\'er-Rao bound. Theory and Methods: We generalize the mean squared error loss to control the bias and…

Medical Physics · Physics 2024-05-07 Andrew Mao , Sebastian Flassbeck , Jakob Assländer

Recent work has suggested that the generalisation performance of a DNN is related to the extent to which the Signal-to-Noise Ratio is optimised at each of the nodes. In contrast, Gradient Descent methods do not always lead to SNR-optimal…

Machine Learning · Computer Science 2022-07-27 Paul Norridge

We introduce a simple and linear SNR (strictly speaking, periodic to random power ratio) estimator (0dB to 80dB without additional calibration/linearization) for providing reliable descriptions of aperiodicity in speech corpus. The main…

Audio and Speech Processing · Electrical Eng. & Systems 2018-07-06 Hideki Kawahara , Ken-Ichi Sakakibara , Masanori Morise , Hideki Banno , Tomoki Toda

Signal to Noise Ratio (SNR) is an important index for wireless communications. There are many methods for increasing SNR. In CDMA systems, spreading sequences are used. To increase SNR, we have to improve spreading sequences. In classical…

Information Theory · Computer Science 2016-11-11 Hirofumi Tsuda , Ken Umeno

The ideal spectral averaging method depends on one's science goals and the available information about one's data. Including low-quality data in the average can decrease the signal-to-noise ratio (SNR), which may necessitate an optimization…

Instrumentation and Methods for Astrophysics · Physics 2023-10-18 L. D. Anderson , B. Liu , Dana S. Balser , T. M. Bania , L. M. Haffner , Dylan J. Linville , Matteo Luisi , Trey V. Wenger

We analyze the distribution of the signal to noise ratio (SNR) loss at the output of an adaptive filter which is trained with samples that do not share the same covariance matrix as the samples for which the filter is foreseen. Our…

Signal Processing · Electrical Eng. & Systems 2020-12-02 Olivier Besson

Reduced-rank approach has been used for decades in robust linear estimation of both deterministic and random vector of parameters in linear model y=Hx+\sqrt{epsilon}n. In practical settings, estimation is frequently performed under…

Optimization and Control · Mathematics 2024-08-05 Tomasz Piotrowski , Isao Yamada

A sensor network is used for distributed joint mean and variance estimation, in a single time snapshot. Sensors observe a signal embedded in noise, which are phase modulated using a constant-modulus scheme and transmitted over a Gaussian…

Information Theory · Computer Science 2016-11-17 Mahesh K. Banavar , Cihan Tepedelenlioglu , Andreas Spanias

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

The reconciliation step of continuous-variable quantum key distribution protocols usually involves forward error correction codes. Matching the code rate and the signal-to-noise ratio (SNR) of the quantum channel is required to achieve the…

Quantum Physics · Physics 2019-05-14 Sören Kreinberg , Igor Koltchanov , André Richter

One of the most basic quantities relevant to planning observations and assessing detection bias is the signal-to-noise ratio (SNR). Remarkably, the SNR of an idealised radial velocity (RV) signal has not been previously derived beyond…

Earth and Planetary Astrophysics · Physics 2024-05-24 David Kipping , Xian-Yu Wang

Stochastic Gradient Descent (SGD) is one of the most popular algorithms in statistical and machine learning due to its computational and memory efficiency. Various averaging schemes have been proposed to accelerate the convergence of SGD in…

Machine Learning · Statistics 2025-04-08 Ziyang Wei , Wanrong Zhu , Wei Biao Wu

Non-Gaussian receivers for optical communication with coherent states can achieve measurement sensitivities beyond the limits of conventional detection, given by the quantum-noise limit (QNL). However, the amount of information that can be…

Quantum Physics · Physics 2021-02-16 M. T. DiMario , F. E. Becerra

Baseband processing algorithms often require knowledge of the noise power, signal power, or signal-to-noise ratio (SNR). In practice, these parameters are typically unknown and must be estimated. Furthermore, the mean-square error (MSE) is…

Signal Processing · Electrical Eng. & Systems 2023-03-28 Alexandra Gallyas-Sanhueza , Christoph Studer

Most physical data sets contain a stochastic contribution produced by measurement noise or other random sources along with the signal. Usually, neither the signal nor the noise are accurately known prior to the measurement so that both have…

Methodology · Statistics 2019-04-12 S. Czesla , T. Molle , J. H. M. M. Schmitt

Faced with the massive connection, sporadic transmission, and small-sized data packets in future cellular communication, a grant-free non-orthogonal random access (NORA) system is considered in this paper, which could reduce the access…

Information Theory · Computer Science 2019-10-10 Zhaoji Zhang , Ying Li , Chongwen Huang , Qinghua Guo , Chau Yuen , Yong Liang Guan

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

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

Data transmission over the mmWave in fifth-generation wireless networks aims to support very high speed wireless communications. A substantial increase in spectrum efficiency for mmWave transmission can be achieved by using advanced hybrid…

Signal Processing · Electrical Eng. & Systems 2020-03-27 Wei Zhang , Taejoon Kim , Shu-Hung Leung