papers

Publications (62)

astro-ph1994

CBR anisotropy from primordial gravitational waves in inflationary cosmologies

Bruce Allen, Scott Koranda

We examine stochastic temperature fluctuations of the cosmic background radiation (CBR) arising via the Sachs-Wolfe effect from gravitational wave perturbations produced in the ear…

gr-qc2016

An Einstein@home search for continuous gravitational waves from Cassiopeia A

Sylvia J. Zhu, Maria Alessandra Papa, Heinz-Bernd Eggenstein +9

We report the results of a directed search for continuous gravitational-wave emission in a broad frequency range (between 50 and 1000 Hz) from the central compact object of the sup…

gr-qc1996

Detecting relic gravitational radiation from string cosmology with LIGO

Bruce Allen, Ram Brustein

A characteristic spectrum of relic gravitational radiation is produced by a period of ``stringy inflation" in the early universe. This spectrum is unusual, because the energy-densi…

cs.IT2023

The Voronoi Region of the Barnes-Wall Lattice

Daniel Pook-Kolb, Erik Agrell, Bruce Allen

We give a detailed description of the Voronoi region of the Barnes-Wall lattice , including its vertices, relevant vectors, and symmetry group. The exact value of its quan…

gr-qc2009

A stochastic template placement algorithm for gravitational wave data analysis

Ian Harry, Bruce Allen, B. S. Sathyaprakash

This paper presents an algorithm for constructing matched-filter template banks in an arbitrary parameter space. The method places templates at random, then removes those which are…

physics.ed-ph2024

Modeling the bounce of a gas-filled ball

Martin Allen, Bruce Allen

The coefficient of restitution characterizes the energy retained when a ball bounces, and can easily be measured in an ``at home'' experiment. For thin-walled gas-filled balls…

gr-qc2012

Continuous Gravitational Waves from Isolated Galactic Neutron Stars in the Advanced Detector Era

Leslie Wade, Xavier Siemens, David L. Kaplan +2

We consider a simulated population of isolated Galactic neutron stars. The rotational frequency of each neutron star evolves through a combination of electromagnetic and gravitatio…

gr-qc2019

Results from an Einstein@Home search for continuous gravitational waves from Cassiopeia A, Vela Jr. and G347.3

Jing Ming, Maria Alessandra Papa, Avneet Singh +9

We report results of the most sensitive search to date for periodic gravitational waves from Cassiopeia A, Vela Jr. and G347.3 with frequency between 20 and 1500 Hz. The search was…

gr-qc2023

Variance of the Hellings-Downs Correlation

Bruce Allen

Gravitational waves (GWs) create correlations in the arrival times of pulses from different pulsars. The expected correlation as a function of the angle between the d…

astro-ph.HE2020

Search for Continuous Gravitational Waves from the Central Compact Objects in Supernova Remnants Cassiopeia A, Vela Jr. and G347.3-0.5

M. Alessandra Papa, Jing Ming, Eric V. Gotthelf +6

We perform a sub-threshold follow-up search for continuous nearly-monochromatic gravitational waves from the central compact objects associated with the supernova remnants Vela Jr.…

cs.IT2023

On the best lattice quantizers

Erik Agrell, Bruce Allen

A lattice quantizer approximates an arbitrary real-valued source vector with a vector taken from a specific discrete lattice. The quantization error is the difference between the s…

cs.IT2025

Optimization and Identification of Lattice Quantizers

Erik Agrell, Daniel Pook-Kolb, Bruce Allen

Lattices with minimal normalized second moments are designed using a new numerical optimization algorithm. Starting from a random lower-triangular generator matrix and applying sto…

gr-qc1999

Automatic cross-talk removal from multi-channel data

Bruce Allen, Wensheng Hua, Adrian Ottewill

A technique is described for removing interference from a signal of interest ("channel 1") which is one of a set of N time-domain instrumental signals ("channels 1 to N"). We assum…

astro-ph1994

CBR Anisotropy from Primordial Gravitational Waves in Two-Component Inflationary Cosmology

Scott Koranda, Bruce Allen

We examine stochastic temperature fluctuations of the cosmic background radiation (CBR) arising via the Sachs-Wolfe effect from gravitational wave perturbations produced in the ear…

gr-qc2019

Spherical ansatz for parameter-space metrics

Bruce Allen

A fundamental quantity in signal analysis is the metric on parameter space, which quantifies the fractional "mismatch" between two (time- or frequency-domain) waveform…

cs.IT2025

Exact calculation of quantizer constants for arbitrary lattices

Daniel Pook-Kolb, Bruce Allen, Erik Agrell

We present an algorithm for the exact computer-aided construction of the Voronoi cells of lattices with known symmetry group. Our algorithm scales better than linearly with the tot…

gr-qc2022

Performance of Random Template Banks

Bruce Allen

When searching for new gravitational-wave or electromagnetic sources, the signal parameters (masses, sky location, frequencies,...) are unknown. In practice, one hunts for sign…

gr-qc2000

Waveforms for Gravitational Radiation from Cosmic String Loops

Bruce Allen, Adrian C. Ottewill

We obtain general formulae for the plus- and cross- polarized waveforms of gravitational radiation emitted by a cosmic string loop in transverse, traceless (synchronous, harmonic)…

gr-qc1996

Gravitational Wave Detector Sites

Bruce Allen

Locations and orientations of current and proposed laser-interferometric gravitational wave detectors are given in tabular form.

gr-qc2024

Source anisotropies and pulsar timing arrays

Bruce Allen, Deepali Agarwal, Joseph D. Romano +1

Pulsar timing arrays (PTA) hunt for gravitational waves (GW) by searching for the correlations that GWs induce in the time-of-arrival residuals from different pulsars. If the GW so…

cs.IT2024

Parametric Lattices Are Better Quantizers in Dimensions 13 and 14

Daniel Pook-Kolb, Erik Agrell, Bruce Allen

New lattice quantizers with lower normalized second moments than previously reported are constructed in 13 and 14 dimensions and conjectured to be optimal. Our construction combine…

gr-qc1997

Detecting a stochastic background of gravitational radiation: Signal processing strategies and sensitivities

Bruce Allen, Joseph D. Romano

We analyze the signal processing required for the optimal detection of a stochastic background of gravitational radiation using laser interferometric detectors. Starting with basic…

gr-qc2004

Making h(t) for LIGO

Xavier Siemens, Bruce Allen, Jolien Creighton +2

The conversion of the read-out from the anti-symmetric port of the LIGO interferometers into gravitational strain has thus far been performed in the frequency domain. Here we descr…

gr-qc1994

Analytic Results for the Gravitational Radiation from a Class of Cosmic String Loops

Bruce Allen, Paul Casper, Adrian Ottewill

Cosmic string loops are defined by a pair of periodic functions and , which trace out unit-length closed curves in three-dimensional space. We consider a particu…

astro-ph1994

CBR Temperature Fluctuations Induced by Gravitational Waves in a Spatially-Closed Inflationary Universe

Bruce Allen, Robert Caldwell, Scott Koranda

Primordial gravitational waves are created during the de Sitter phase of an exponentially-expanding (inflationary) universe, due to quantum zero-point vacuum fluctuations. These wa…

gr-qc2017

Results of an all-sky high-frequency Einstein@Home search for continuous gravitational waves in LIGO's fifth science run

Avneet Singh, Maria Alessandra Papa, Heinz-Bernd Eggenstein +7

We present results of a high-frequency all-sky search for continuous gravitational waves from isolated compact objects in LIGO's 5th Science Run (S5) data, using the computing powe…

gr-qc2020

Gravitational wave stochastic background from cosmological particle decay

Bruce Allen

We assume that the cosmological dark matter is composed of massive neutral scalar particles that decay into two massless particles. The decay produces a stochastic background of gr…

gr-qc1995

Long Range Effects of Cosmic String Structure

Bruce Allen, Bernard S. Kay, Adrian C. Ottewill

We combine and further develop ideas and techniques of Allen \& Ottewill, Phys. Rev.D, {\bf 42}, 2669 (1990) and Kay \& Studer Commun. Math. Phys., {\bf 139}, 103 (1991) for calcul…

cs.IT2024

Glued lattices are better quantizers than

Erik Agrell, Daniel Pook-Kolb, Bruce Allen

40 years ago, Conway and Sloane proposed using the highly symmetrical Coxeter-Todd lattice for quantization, and estimated its second moment. Since then, all published lis…

gr-qc1996

Detection of Anisotropies in the Gravitational-Wave Stochastic Background

Bruce Allen, Adrian C. Ottewill

By correlating the signals from a pair of gravitational-wave detectors, one can undertake sensitive searches for a stochastic background of gravitational radiation. If the stochast…

astro-ph.IM2021

Optimal Template Banks

Bruce Allen

When searching for new gravitational-wave or electromagnetic sources, the signal parameters (masses, sky location, frequencies,...) are unknown. In practice, one hunts for sign…

astro-ph.IM2023

The International Pulsar Timing Array checklist for the detection of nanohertz gravitational waves

Bruce Allen, Sanjeev Dhurandhar, Yashwant Gupta +5

Pulsar timing arrays (PTAs) provide a way to detect gravitational waves at nanohertz frequencies. In this band, the most likely signals are stochastic, with a power spectrum that r…

math-ph2021

The optimal lattice quantizer in nine dimensions

Bruce Allen, Erik Agrell

The optimal lattice quantizer is the lattice which minimizes the (dimensionless) second moment . In dimensions to , it has been proven that the optimal lattice quantizer…

gr-qc2026

Pulsar timing array analysis in a Legendre polynomial basis

Bruce Allen, Arian L. von Blanckenburg, Ken D. Olum

We use Legendre polynomials, previously employed in this context by Lee et al., van Haasteren and Levin, and Pitrou and Cusin, to model signals in pulsar timing arrays. These repla…

gr-qc2009

Exploiting Large-Scale Correlations to Detect Continuous Gravitational Waves

Holger J. Pletsch, Bruce Allen

Fully coherent searches (over realistic ranges of parameter space and year-long observation times) for unknown sources of continuous gravitational waves are computationally prohibi…

astro-ph.IM2021

Template banks based on and lattices

Bruce Allen, Andrey A. Shoom

Matched filtering is a traditional method used to search a data stream for signals. If the source (and hence its parameters) are unknown, many filters must be employed. These f…

gr-qc1994

Maximally Symmetric Spin-Two Bitensors on and

Bruce Allen

The transverse traceless spin-two tensor harmonics on and may be denoted by . The index labels the (degenerate) eigenvalues of the Laplacian $\squa…

gr-qc1999

Is the squeezing of relic gravitational waves produced by inflation detectable?

Bruce Allen, Eanna Flanagan, Maria Alessandra Papa

Grishchuk has shown that the stochastic background of gravitational waves produced by an inflationary phase in the early Universe has an unusual property: it is not a stationary Ga…

gr-qc2004

A chi-squared time-frequency discriminator for gravitational wave detection

Bruce Allen

Searches for known waveforms in gravitational wave detector data are often done using matched filtering. When used on real instrumental data, matched filtering often does not perfo…

astro-ph.IM2023

Data-Driven Approaches to Searches for the Technosignatures of Advanced Civilizations

T. Joseph W. Lazio, S. G. Djorgovski, Andrew Howard +19

Humanity has wondered whether we are alone for millennia. The discovery of life elsewhere in the Universe, particularly intelligent life, would have profound effects, comparable to…

gr-qc2001

Robust statistics for deterministic and stochastic gravitational waves in non-Gaussian noise I: Frequentist analyses

Bruce Allen, Jolien D. E. Creighton, Eanna E. Flanagan +1

Gravitational wave detectors will need optimal signal-processing algorithms to extract weak signals from the detector noise. Most algorithms designed to date are based on the unrea…

gr-qc2017

FINDCHIRP: an algorithm for detection of gravitational waves from inspiraling compact binaries

Bruce Allen, Warren G. Anderson, Patrick R. Brady +2

Matched-filter searches for gravitational waves from coalescing compact binaries by the LIGO Scientific Collaboration use the FINDCHIRP algorithm: an implementation of the optimal…

gr-qc2025

Optimal reconstruction of the Hellings and Downs correlation

Bruce Allen, Joseph D. Romano

Pulsar timing arrays (PTAs) detect gravitational waves (GWs) via the correlations they create in the arrival times of pulses from different pulsars. The mean correlation, a functio…

gr-qc2023

Hellings and Downs correlation of an arbitrary set of pulsars

Bruce Allen, Joseph D. Romano

Pulsar timing arrays (PTAs) detect gravitational waves (GWs) via the correlations they induce in the arrival times of pulses from different pulsars. We assume that the GWs are desc…

gr-qc1994

A Closed-Form Expression for the Gravitational Radiation Rate from Cosmic Strings

Bruce Allen, Paul Casper

We present a new formula for the rate at which cosmic strings lose energy into gravitational radiation, valid for all piecewise-linear cosmic string loops. At any time, such a loop…

gr-qc2019

Can a "pure vector" gravitational wave mimic a "pure tensor" one?

Bruce Allen

In the general theory of relativity, gravitational waves have two possible polarizations, which are transverse and traceless with helicity . Some alternatives theories conta…

gr-qc2024

Answers to frequently asked questions about the pulsar timing array Hellings and Downs curve

Joseph D. Romano, Bruce Allen

We answer frequently asked questions (FAQs) about the Hellings and Downs correlation curve -- the "smoking-gun" signature that pulsar timing arrays (PTAs) have detected gravitation…

gr-qc1995

GRAVITATIONAL RADIATION FROM REALISTIC COSMIC STRING LOOPS

Paul Casper, Bruce Allen

We examine the rates at which energy and momentum are radiated into gravitational waves by a large set of realistic cosmic string loops. The string loops are generated by numerical…

astro-ph.IM2025

SETI@home: Data Analysis and Findings

David P. Anderson, Eric J. Korpela, Dan Werthimer +2

SETI@home is a radio Search for Extraterrestrial Intelligence (SETI) project that looks for technosignatures in data recorded at the Arecibo Observatory. The data were collected ov…

astro-ph.IM2016

Hierarchical follow-up of sub-threshold candidates of an all-sky Einstein@Home search for continuous gravitational waves on LIGO sixth science run data

Maria Alessandra Papa, Heinz-Bernd Eggenstein, Sinéad Walsh +12

We report results of an all-sky search for periodic gravitational waves with frequency between 50 and 510 Hz from isolated compact objects, i.e. neutron stars. A new hierarchical m…

gr-qc2024

Pulsar timing array source ensembles

Bruce Allen, Serena Valtolina

The stochastic gravitational wave background for pulsar timing arrays is often modeled by a Gaussian ensemble which is isotropic and unpolarized. However, the Universe has a discre…

gr-qc2024

Deep Einstein@Home search for Continuous Gravitational Waves from the Central Compact Objects in the Supernova Remnants Vela Jr. and G347.3-0.5 using LIGO public data

Jing Ming, Maria Alessandra Papa, Heinz-Bernd Eggenstein +5

We perform a search for continuous nearly monochromatic gravitational waves from the central compact objects associated with the supernova remnants Vela Jr. and G347.3 using LIGO O…

gr-qc2024

Harmonic spectrum of pulsar timing array angular correlations

Bruce Allen, Joseph D. Romano

Pulsar timing arrays (PTAs) detect gravitational waves (GWs) via the correlations they create in the arrival times of pulses from different pulsars. The mean correlation, a functio…

astro-ph.IM2025

Optimal robust detection statistics for pulsar timing arrays

Rutger van Haasteren, Bruce Allen, Joseph D. Romano

Pulsar timing arrays (PTAs) seek to detect a nano-Hz stochastic gravitational-wave background (GWB) by searching for the characteristic Hellings and Downs angular pattern of timing…

gr-qc2002

Optimal Strategies for Sinusoidal Signal Detection

Bruce Allen, Maria Alessandra Papa, Bernard F. Schutz

We derive and study optimal and nearly-optimal strategies for the detection of sinusoidal signals hidden in additive (Gaussian and non-Gaussian) noise. Such strategies are an essen…

gr-qc1994

Closed Form Expression for the Momentum Radiated from Cosmic String Loops

Bruce Allen, Paul Casper, Adrian Ottewill

We modify the recent analytic formula given by Allen and Casper for the rate at which piecewise linear cosmic string loops lose energy to gravitational radiation to yield the analo…

gr-qc2024

Pulsar Timing Array Harmonic Analysis and Source Angular Correlations

Bruce Allen

Gravitational waves (GWs) influence the arrival times of radio signals coming from pulsars. Here, we investigate the harmonic space approach to describing a pulsar's response to GW…

gr-qc2021

Results from an Einstein@Home search for continuous gravitational waves from G347.3 at low frequencies in LIGO O2 data

Jing Ming, Maria Alessandra Papa, Heinz-Bernd Eggenstein +5

We present results of a search for periodic gravitational wave signals with frequency between 20 and 400 Hz, from the neutron star in the supernova remnant G347.3-0.5, using LIGO O…

gr-qc1996

The stochastic gravity-wave background: sources and detection

Bruce Allen

A world-wide effort is now underway to build gravitational wave detectors based on highly-sensitive laser interferometers. When data from detectors at different sites is properly c…

gr-qc2002

Robust statistics for deterministic and stochastic gravitational waves in non-Gaussian noise. II: Bayesian analyses

Bruce Allen, Jolien D. E. Creighton, Eanna E. Flanagan +1

In a previous paper (gr-qc/0105100) we derived a set of near-optimal signal detection techniques for gravitational wave detectors whose noise probability distributions contain non-…

astro-ph.HE2021

New searches for continuous gravitational waves from seven fast pulsars

Anjana Ashok, Banafsheh Beheshtipour, Maria Alessandra Papa +6

We conduct searches for continuous gravitational waves from seven pulsars, that have not been targeted in continuous wave searches of Advanced LIGO data before. We target emission…

astro-ph.CO2026

Stochastic gravitational-wave background search using data from five pulsar timing arrays

Wang-Wei Yu, Bruce Allen

Using public pulse time-of-arrival data from five pulsar timing arrays (PTAs), we search for a stationary, isotropic, and unpolarized nHz stochastic gravitational-wave background (…