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The observations in many applications consist of counts of discrete events, such as photons hitting a detector, which cannot be effectively modeled using an additive bounded or Gaussian noise model, and instead require a Poisson noise…

最优化与控制 · 数学 2011-10-13 Zachary T. Harmany , Roummel F. Marcia , Rebecca M. Willett

We present the implementation and use of algorithms for matching point-spread functions (PSFs) within the Pan-STARRS Image Processing Pipeline (IPP). PSF-matching is an essential part of the IPP for the detection of supernovae and…

天体物理仪器与方法 · 物理学 2019-01-30 Paul A. Price , Eugene A. Magnier

This paper proposes a novel method to filter out the false alarm of LiDAR system by using the temporal correlation of target reflected photons. Because of the inevitable noise, which is due to background light and dark counts of the…

仪器与探测器 · 物理学 2017-08-22 Zhenchao Feng , Weiji He , Jian Fang , Guohua Gu , Qian Chen , Ping Zhang , Yuanjin Chen , Beibei Zhou , Minhua Zhou

We consider the high-resolution imaging problem of 3D point source image recovery from 2D data using a method based on point spread function (PSF) engineering. The method involves a new technique, recently proposed by S.~Prasad, based on…

信号处理 · 电气工程与系统科学 2019-06-13 Chao Wang , Raymond Chan , Mila Nikolova , Robert Plemmons , Sudhakar Prasad

We consider the classical Neymann-Pearson hypothesis testing problem of signal detection, where under the null hypothesis ($\calH_0$), the received signal is white Gaussian noise, and under the alternative hypothesis ($\calH_1$), the…

信息论 · 计算机科学 2022-02-08 Neri Merhav

The detection of point-sources in microwave maps is a critical step in the analysis of the Cosmic Microwave Background (CMB) data. If not properly removed, these sources have adverse effects on the estimation of the power-spectrum and/or…

天体物理学 · 物理学 2009-07-14 R. Vio , P. Andreani

We demonstrate a new tool for filtering technical and electronic noises from pulses of light, especially relevant for signal processing methods in quantum optics experiments as a means to achieve the shot-noise level and reduce strong…

Source detection in counting type experiments such as Cherenkov telescopes often involves the application of the classical Eq. 17 from the paper of Li & Ma (1983) to discrete on- and off-source regions. The on- source region is typically a…

天体物理仪器与方法 · 物理学 2017-01-27 Stefan Klepser

The filtering of a Markov diffusion process on a manifold from counting process observations leads to `large' changes in the conditional distribution upon an observed event, corresponding to a multiplication of the density by the intensity…

最优化与控制 · 数学 2019-11-01 Simone Carlo Surace , Anna Kutschireiter , Jean-Pascal Pfister

We propose a new detection technique in the plane based on an isotropic wavelet family. This family is naturally constructed as an extension of the Gaussian-Mexican Hat Wavelet pair and for that reason we call it the Mexican Hat Wavelet…

天体物理学 · 物理学 2009-11-11 J. Gonzalez-Nuevo , F. Argueso , M. Lopez-Caniego , L. Toffolatti , J. L. Sanz , P. Vielva , D. Herranz

In this study, we explore the utilization of maximum likelihood estimation for the analysis of sparse photon counting data obtained from distributed target lidar systems. Specifically, we adapt the Poisson Total Variation processing…

信号处理 · 电气工程与系统科学 2023-12-01 Matthew Hayman , Robert A. Stillwell , Josh Carnes , Grant J. Kirchhoff , Scott M. Spuler , Jeffrey P. Thayer

We consider a set of M images, whose pixel intensities at a common point can be treated as the components of a M-dimensional vector. We are interested in the estimation of the modulus of such a vector associated to a compact source. For…

宇宙学与河外天体物理 · 物理学 2011-01-05 F. Argueso , J. L. Sanz , D. Herranz

We present a 3-dimensional matched filtering approach for the blind search of faint emission-line sources in integral-field spectroscopic datasets. The filter is designed to account for the spectrally rapidly varying background noise due to…

天体物理仪器与方法 · 物理学 2023-03-21 Edmund Christian Herenz

In this paper, we address the problem of denoising images degraded by Poisson noise. We propose a new patch-based approach based on best linear prediction to estimate the underlying clean image. A simplified prediction formula is derived…

计算机视觉与模式识别 · 计算机科学 2018-03-02 Milad Niknejad , Mario A. T. Figueiredo

Photon-limited imaging arises when the number of photons collected by a sensor array is small relative to the number of detector elements. Photon limitations are an important concern for many applications such as spectral imaging, night…

计算机视觉与模式识别 · 计算机科学 2014-04-29 Joseph Salmon , Zachary Harmany , Charles-Alban Deledalle , Rebecca Willett

We extend the theory of matrix completion to the case where we make Poisson observations for a subset of entries of a low-rank matrix. We consider the (now) usual matrix recovery formulation through maximum likelihood with proper…

机器学习 · 统计学 2015-03-26 Yang Cao , Yao Xie

We introduce a fundamental lemma called the Poisson matching lemma, and apply it to prove one-shot achievability results for various settings, namely channels with state information at the encoder, lossy source coding with side information…

信息论 · 计算机科学 2021-09-21 Cheuk Ting Li , Venkat Anantharam

This paper presents a performance analysis framework for linear detection in fast-fading channels with possibly correlated channel and noise. The framework is both accurate and adaptable, making it well-suited for analyzing a wide range of…

信号处理 · 电气工程与系统科学 2025-07-09 Almutasem Bellah Enad , Jihad Fahs , Hadi Sarieddeen , Hakim Jemaa , Tareq Y. Al-Naffouri

The article addresses the problem of detecting presence and location of a small low emission source inside of an object, when the background noise dominates. This problem arises, for instance, in some homeland security applications. The…

统计理论 · 数学 2015-05-28 Xiaolei Xun , Bani Mallick , Raymond J. Carroll , Peter Kuchment

We continue studies of the uncertainty quantification problem in emission tomographies such as PET or SPECT when additional multimodal data (e.g., anatomical MRI images) are available. To solve the aforementioned problem we adapt the…

机器学习 · 统计学 2021-12-03 Fedor Goncharov , Éric Barat , Thomas Dautremer