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Here we present a Bayesian method of including discrete measurements of dispersion measure due to the interstellar medium in the direction of a pulsar as prior information in the analysis of that pulsar. We use a simple simulation to show…

Instrumentation and Methods for Astrophysics · Physics 2013-12-10 Lindley Lentati , Paul Alexander , Michael P. Hobson

We describe the procedure, nuances, issues, and choices involved in creating times-of-arrival (TOAs), residuals and error bars from a set of radio pulsar timing data. We discuss the issue of mis-matched templates, the problem that wide-…

Instrumentation and Methods for Astrophysics · Physics 2015-06-17 Andrea N. Lommen , Paul Demorest

Frequency metrology outperforms any other branch of metrology in accuracy (parts in $10^{-16}$) and small fluctuations ($<10^{-17}$). In turn, among celestial bodies, the rotation speed of millisecond pulsars (MSP) is by far the most stable…

Data Analysis, Statistics and Probability · Physics 2022-02-04 Siyuan Chen , Francois Vernotte , Enrico Rubiola

Millisecond and binary pulsars are the most stable astronomical standards of frequency. They can be applied to solving a number of problems in astronomy and time-keeping metrology including the search for a stochastic gravitational wave…

Solar and Stellar Astrophysics · Physics 2015-05-14 Sergei Kopeikin

This paper presents a new method to estimate systematic errors in the maximum-likelihood regression of count data. The method is applicable in particular to X-ray spectra in situations where the Poisson log-likelihood, or the Cash…

Instrumentation and Methods for Astrophysics · Physics 2023-05-03 M. Bonamente

Pulsar timing is a technique that uses the highly stable spin periods of neutron stars to investigate a wide range of topics in physics and astrophysics. Pulsar timing arrays (PTAs) use sets of extremely well-timed pulsars as a Galaxy-scale…

Instrumentation and Methods for Astrophysics · Physics 2021-10-05 J. P. W. Verbiest , S. Oslowski , S. Burke-Spolaor

Pulsar timing is a valuable source of high-precision astrophysical measurements which can be used to probe gravitational physics, including by detecting gravitational waves. An important factor limiting the precision of these measurements…

High Energy Astrophysical Phenomena · Physics 2026-05-22 Ross J. Jennings , James M. Cordes , Shami Chatterjee , Maura A. McLaughlin

We study statistical properties of stochastic variations in pulse arrival times, timing noise, in radio pulsars using a new analysis method applied in the time domain. The method proceeds in two steps. First, we subtract low-frequency…

High Energy Astrophysical Phenomena · Physics 2015-06-11 Steve Price , Bennett Link , Steve Shore , David Nice

The ionized interstellar medium disperses pulsar radio signals, resulting in a stochastic time-variable delay known as the dispersion measure (DM) noise. In the wideband paradigm of pulsar timing, we measure a DM together with a time of…

Instrumentation and Methods for Astrophysics · Physics 2025-08-27 Abhimanyu Susobhanan , Rutger van Haasteren

We performed Monte Carlo simulations of different properties of pulsar radio emission, such as: pulsar periods, pulse-widths, inclination angles and rates of occurrence of interpulse emission (IP). We used recently available large data sets…

Astrophysics of Galaxies · Physics 2011-06-29 Krzysztof Maciesiak , Janusz Gil , Valério A. R. M. Ribeiro

The problem of estimating the delays and amplitudes of a positive stream of pulses appears in many applications, such as single-molecule microscopy. This paper suggests estimating the delays and amplitudes using a convex program, which is…

Information Theory · Computer Science 2017-01-11 Tamir Bendory

We present results of more than three decades of timing measurements of the first known binary pulsar, PSR B1913+16. Like most other pulsars, its rotational behavior over such long time scales is significantly affected by small-scale…

Astrophysics of Galaxies · Physics 2011-06-08 Joel M. Weisberg , David J. Nice , Joseph H. Taylor

We present an algorithm for the simultaneous measurement of a pulse time-of-arrival (TOA) and dispersion measure (DM) from folded wideband pulsar data. We extend the prescription from Taylor (1992) to accommodate a general two-dimensional…

Instrumentation and Methods for Astrophysics · Physics 2020-06-04 Timothy T. Pennucci , Paul B. Demorest , Scott M. Ransom

Traditional pulsar timing techniques involve averaging large numbers of single pulses to obtain a high signal-to-noise (S/N) profile, which is matched to a template to measure a time of arrival (TOA). However, the morphology of individual…

High Energy Astrophysical Phenomena · Physics 2024-07-30 Sofia V. Sosa Fiscella , Michael T. Lam , Maura A. McLaughlin

Pulsar searches are computationally demanding efforts to discover dispersed periodic signals in time- and frequency-resolved data from radio telescopes. The complexity and computational expense of simultaneously determining the…

Instrumentation and Methods for Astrophysics · Physics 2021-07-14 Lars Künkel , Rajat M. Thomas , Joris P. W. Verbiest

We have monitored the phase of the main X-ray pulse of the Crab pulsar with the Rossi X-ray Timing Explorer (RXTE) for almost eight years, since the start of the mission in January 1996. The absolute time of RXTE's clock is sufficiently…

Astrophysics · Physics 2009-11-10 Arnold H. Rots , Keith Jahoda , Andrew G. Lyne

Broadband radio waves emitted from pulsars are distorted and delayed as they propagate toward the Earth due to interactions with the free electrons that compose the interstellar medium, with lower radio frequencies being more impacted than…

High Energy Astrophysical Phenomena · Physics 2023-06-12 Olivia Young , Michael Lam

Radio pulsars are often used as clocks in a wide variety of experiments. Imperfections in the clock, known as timing noise, have the potential to reduce the significance of, or even thwart e.g. the attempt to find a stochastic gravitational…

High Energy Astrophysical Phenomena · Physics 2019-06-26 Nakornping Namkham , Phrudth Jaroenjittichai , Simon Johnston

Timing analysis of PSR J1705$-$1906 using data from Nanshan 25-m and Parkes 64-m radio telescopes, which span over fourteen years, shows that the pulsar exhibits significant proper motion, and rotation instability. We updated the astrometry…

High Energy Astrophysical Phenomena · Physics 2018-10-23 Y. L. Liu , J. P. Yuan , J. B. Wang , X. W. Liu , N. Wang , R. Yuen

In this paper, we study the problem of computing a Principal Component Analysis of data affected by Poisson noise. We assume samples are drawn from independent Poisson distributions. We want to estimate principle components of a fixed…

Methodology · Statistics 2021-05-25 Toby Kenney , Tianshu Huang , Hong Gu
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