Brendan M. Quine

ORCID: 0000-0002-7326-2779
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About
Contact & Profiles
Research Areas
  • Atmospheric Ozone and Climate
  • Atmospheric and Environmental Gas Dynamics
  • Spectroscopy and Laser Applications
  • Atmospheric chemistry and aerosols
  • Atmospheric aerosols and clouds
  • Calibration and Measurement Techniques
  • Polynomial and algebraic computation
  • Mathematical functions and polynomials
  • Pulsars and Gravitational Waves Research
  • Planetary Science and Exploration
  • Numerical Methods and Algorithms
  • Advanced Mathematical Identities
  • Digital Filter Design and Implementation
  • Spacecraft Design and Technology
  • Meteorological Phenomena and Simulations
  • Mathematical and Theoretical Analysis
  • Scientific Research and Discoveries
  • Image and Signal Denoising Methods
  • Space Satellite Systems and Control
  • Scientific Measurement and Uncertainty Evaluation
  • Gamma-ray bursts and supernovae
  • Advanced Combinatorial Mathematics
  • Blind Source Separation Techniques
  • Astro and Planetary Science
  • Statistical and numerical algorithms

York University
2015-2024

Thoth Technology (Canada)
2020-2024

Keele University
2010

University of Oxford
1996-2005

University of Toronto
2002-2003

Oxford Research Group
1996

The University of Sydney
1996

In this work, we develop a method of rational approximation the Fourier transform (FT) based on real and imaginary parts complex error function \[ w(z) = e^{-z^2}(1 - {\rm{erf}}(-iz)) K(x,y) + iL(x,y), \quad z x iy, \] where $K(x,y)$ $L(x,y)$ are known as Voigt functions, respectively. contrast to our previous FT, expansion coefficients in not dependent values sampled function. As set Voigt/complex remains same, approach provides rapid computation. Mathematica codes with some examples presented.

10.20944/preprints202504.0559.v1 preprint EN 2025-04-07

10.1016/s0022-4073(01)00193-5 article EN Journal of Quantitative Spectroscopy and Radiative Transfer 2002-07-01

Abstract The Canadian Hydrogen Intensity Mapping Experiment (CHIME)/FRB experiment has detected thousands of fast radio bursts (FRBs) due to its sensitivity and wide field view; however, low angular resolution prevents it from localizing events their host galaxies. Very long baseline interferometry (VLBI), triggered by FRB detections CHIME/FRB will solve the challenge localization for non-repeating events. Using a refurbished 10 m dish at Algonquin Radio Observatory located in Ontario...

10.3847/1538-3881/ac3d2f article EN cc-by The Astronomical Journal 2022-01-14

10.1016/j.jqsrt.2013.04.020 article EN Journal of Quantitative Spectroscopy and Radiative Transfer 2013-04-23

In this work, we develop a new iterative method for computing the digits of π by argument reduction tangent function. This combines modified version formula with squared convergence that proposed in previous work and leading arctangent term from Machin-like formula. The computational test performed shows algorithmic implementation can provide more than 17 per increment. Mathematica codes, showing rate π, are presented.

10.3390/mca29020017 article EN cc-by Mathematical and Computational Applications 2024-02-25

Argus 1000 is a new generation miniature pollution-monitoring instrument to monitor greenhouse-gas emission from the space. was launched on CanX-2 micro-satellite April 28, 2008. Operating in near infrared and nadir-viewing mode, provides capability for monitoring of Earth-based sources sinks anthropogenic pollution. It has 136 channels spectral range 0.9-1.7 µm with an instantaneous spatial resolution 1.25 km. With mass just 228 g flight-model configuration, demonstrator future network that...

10.1117/1.3302405 article EN Journal of Applied Remote Sensing 2010-01-01

We present a rational approximation for rapid and accurate computation of the Voigt function, obtained by residue calculus. The computational test reveals that with only $16$ summation terms this provides average accuracy ${10^{- 14}}$ over wide domain practical interest $0 < x 40,000$ 4}} y {10^2}$ applications using HITRAN molecular spectroscopic database. proposed takes less than half time required Weideman's approximation. Algorithmic stability is achieved due to absence poles at $y...

10.5539/jmr.v7n2p163 article EN cc-by Journal of Mathematics Research 2015-05-11

10.1016/j.jqsrt.2009.09.005 article EN Journal of Quantitative Spectroscopy and Radiative Transfer 2009-09-18

Abstract The Middle Atmosphere Nitrogen TRend Assessment (MANTRA) series of high‐altitude balloon flights is being undertaken to investigate changes in the concentrations northern hemisphere mid‐latitude stratospheric ozone, and nitrogen chlorine compounds that play a role ozone chemistry. Four campaigns have been carried out date, all from Vanscoy, Saskatchewan, Canada (52°01'N, 107°02'W, 511.0 m). first MANTRA mission took place August 1998, with flight on 24 1998 Canadian launch large...

10.3137/ao.430401 article EN ATMOSPHERE-OCEAN 2005-12-01

10.1007/s11139-018-9996-8 article EN The Ramanujan Journal 2018-04-16

The Crab Pulsar's radio emission is unusual, consisting predominantly of giant pulses, with durations about a micro-second but structure down to the nano-second level, and brightness temperatures up $10^{37}\,$K. It unclear how pulses are produced, they likely originate near pulsar's light cylinder, where corotating plasma approaches speed light. We report observations in 400-800 MHz frequency band, broadened by scattering surrounding nebula. find that some pulse spectra show strong bands,...

10.3847/1538-4357/ac1589 article EN The Astrophysical Journal 2021-10-01

10.1016/j.jqsrt.2009.01.003 article EN Journal of Quantitative Spectroscopy and Radiative Transfer 2009-01-19

The mini-spectrometer Argus 1000 being in space, continuously monitors the sources and sinks of trace gases. This paper presents a methodology classification cloud scene by Spectral Data (CCSArSD) applying radiance enhancement (RE) technique within 900-1700 nm wavelength bands at infrared sounder along with GENSPECT line radiative transfer code for different weeks per passes. was launched on aboard CanX-2 micro-satellite 28th April 2008 as part technology demonstration mission. algorithm...

10.1504/ijspacese.2015.075911 article EN International Journal of Space Science and Engineering 2015-01-01

10.1016/s0967-0661(96)00191-8 article EN Control Engineering Practice 1996-12-01

This article describes a method of implementation linearised approximations to nonlinear systems that does not require the direct derivation Jacobian matrices. The approach is simpler implement than current techniques used with extended Kalman filters and other estimation control algorithms.

10.1109/acc.1995.529787 article EN 2005-08-24

In this paper we present two efficient approximations for the complex error function $w \left( {z} \right)$ with small imaginary argument $\operatorname{Im}{\left[ { z } \right]} < 1$ over range $0 \le \operatorname{Re}{\left[ 15$ that is commonly considered difficult highly accurate and rapid computation. These are expressed in terms of Dawson\text{'}s integral $F\left( x real $x$ enables their implementation a algorithm. The analysis performed using random numbers $y$ reveals parts average...

10.5539/jmr.v7n1p44 article EN cc-by Journal of Mathematics Research 2015-01-18
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