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The fitting of spectral lines is a common step in the analysis of line observations and simulations. However, the observational noise, the presence of multiple velocity components, and potentially large data sets make it a non-trivial task.…

Astrophysics of Galaxies · Physics 2024-03-08 Mika Juvela , Devika Tharakkal

In the paper, the estimator for the spectral measure of multivariate stable distributions introduced by Davydov and co-workers are extended to the regularly varying distributions. The sampling method is modified to optimize the rate of…

Statistics Theory · Mathematics 2010-09-22 Shuyan Liu

We consider kernel estimators of the instantaneous frequency of a slowly evolving sinusoid in white noise. The expected estimation error consists of two terms. The systematic bias error grows as the kernel halfwidth increases while the…

Methodology · Statistics 2020-02-18 Kurt S. Riedel

Simultaneous detection and estimation is important in many engineering applications. In particular, there are many applications where it is important to perform signal detection and Signal-to-Noise-Ratio (SNR) estimation jointly.…

Information Theory · Computer Science 2016-11-15 Long Le , Douglas L. Jones

Radio frequency interference (RFI) have been an enduring concern in radio astronomy, particularly for the observations of pulsars which require high timing precision and data sensitivity. In most works of the literature, RFI mitigation has…

Instrumentation and Methods for Astrophysics · Physics 2024-02-22 Xiao Zhang , Ismaël Cognard , Nicolas Dobigeon

The new generation of radio telescopes, such as the Square Kilometer Array (SKA), requires dramatic advances in computer hardware and software, in order to process the large amounts of produced data efficiently. In this document, we explore…

Instrumentation and Methods for Astrophysics · Physics 2015-04-15 Matthias Petschow

We present the generalized iterative residual fitting (IRF) for the computation of the spherical harmonic transform (SHT) of band-limited signals on the sphere. The proposed method is based on the partitioning of the subspace of…

Information Theory · Computer Science 2017-09-11 Usama Elahi , Zubair Khalid , Rodney A. Kennedy , Jason D. McEwen

This paper studies a distributed state estimation problem for both continuous- and discrete-time linear systems. A simply structured distributed estimator (comprising interconnected local estimators) is first described for estimating the…

Systems and Control · Electrical Eng. & Systems 2023-10-30 Lili Wang , Ji Liu , Brian B. O. Anderson , A. Stephen Morse

Subtractive dither is a powerful method for removing the signal dependence of quantization noise for coarsely-quantized signals. However, estimation from dithered measurements often naively applies the sample mean or midrange, even when the…

Applications · Statistics 2019-06-26 Joshua Rapp , Robin M. A. Dawson , Vivek K Goyal

Feature selection of high-dimensional labeled data with limited observations is critical for making powerful predictive modeling accessible, scalable, and interpretable for domain experts. Spectroscopy data, which records the interaction…

Machine Learning · Computer Science 2022-02-10 Frantishek Akulich , Hadis Anahideh , Manaf Sheyyab , Dhananjay Ambre

The "Tapered Gridded Estimator" (TGE) is a novel way to directly estimate the angular power spectrum from radio-interferometric visibility data that reduces the computation by efficiently gridding the data, consistently removes the noise…

Cosmology and Nongalactic Astrophysics · Physics 2017-07-27 Samir Choudhuri , Nirupam Roy , Somnath Bharadwaj , Sk. Saiyad Ali , Abhik Ghosh , Prasun Dutta

As a new generation radio telescope, the Allen Telescope Array (ATA) is a prototype for the square kilometer array (SKA). Here we describe recently developed design constraints for the ATA digital signal processing chain as a case study for…

Instrumentation and Methods for Astrophysics · Physics 2012-11-29 G. R. Harp

Radio frequency interference (RFI) already limits the sensitivity of existing radio telescopes in several frequency bands and may prove to be an even greater obstacle for future generation instruments to overcome. I aim to create a…

Instrumentation and Methods for Astrophysics · Physics 2015-03-17 P. A. Fridman

Contemporary real-time RFI mitigation is carried out at different stages primarily using regulatory and technical approaches. Regulatory approaches include spectrum management, radio quiet zones, and ensuring protection from self-generated…

Instrumentation and Methods for Astrophysics · Physics 2025-01-08 Kaushal D. Buch , Ruta Kale , Kishor D. Naik , Ajithkumar B. , Thushara Gunaratne , N. Habana , Gregory Hellbourg , Jane Kaczmarek , L. Petrov , Cedric Viou , Benjamin Winkel

We describe a new software package for simulating channelised, high-time resolution data streams from radio telescopes. The software simulates data from the telescope and observing system taking into account the observation strategy,…

Instrumentation and Methods for Astrophysics · Physics 2022-05-09 Rui Luo , George Hobbs , Suk Yee Yong , Andrew Zic , Lawrence Toomey , Shi Dai , Alex Dunning , Di Li , Tommy Marshman , Chen Wang , Pei Wang , Shuangqiang Wang , Songbo Zhang

We consider the problem of parameter estimation in a high-dimensional generalized linear model. Spectral methods obtained via the principal eigenvector of a suitable data-dependent matrix provide a simple yet surprisingly effective…

Statistics Theory · Mathematics 2025-07-11 Yihan Zhang , Hong Chang Ji , Ramji Venkataramanan , Marco Mondelli

Line spectral estimation is the problem of recovering the frequencies and amplitudes of a mixture of a few sinusoids from equispaced samples. However, in a variety of signal processing problems arising in imaging, radar, and localization we…

Information Theory · Computer Science 2016-09-28 Reinhard Heckel , Mahdi Soltanolkotabi

The study of third-order statistics in large-scale structure analyses has been hampered by the increased complexity of bispectrum estimators (compared to power spectra), the large dimensionality of the data vector, and the difficulty in…

Cosmology and Nongalactic Astrophysics · Physics 2025-01-20 Lea Harscouet , Jessica A. Cowell , Julia Ereza , David Alonso , Hugo Camacho , Andrina Nicola , Anže Slosar

We present a visibility based estimator namely, the Tapered Gridded Estimator (TGE) to estimate the power spectrum of the diffuse sky signal. The TGE has three novel features. First, the estimator uses gridded visibilities to estimate the…

Cosmology and Nongalactic Astrophysics · Physics 2017-08-16 Samir Choudhuri

In radio astronomy, radio frequency interference (RFI) becomes more and more serious for radio observational facilities. The RFI always influences the search and study of the interesting astronomical objects. Mitigating the RFI becomes an…

Instrumentation and Methods for Astrophysics · Physics 2021-12-03 Chuan-Peng Zhang , Jin-Long Xu , Jie Wang , Yingjie Jing , Ziming Liu , Ming Zhu , Peng Jiang