Improving the full spectrum fitting method: accurate convolution with Gauss-Hermite functions
arXiv:1607.08538 · doi:10.1093/mnras/stw3020
Abstract
I start by providing an updated summary of the penalized pixel-fitting (pPXF) method, which is used to extract the stellar and gas kinematics, as well as the stellar population of galaxies, via full spectrum fitting. I then focus on the problem of extracting the kinematic when the velocity dispersion is smaller than the velocity sampling , which is generally, by design, close to the instrumental dispersion . The standard approach consists of convolving templates with a discretized kernel, while fitting for its parameters. This is obviously very inaccurate when , due to undersampling. Oversampling can prevent this, but it has drawbacks. Here I present a more accurate and efficient alternative. It avoids the evaluation of the under-sampled kernel, and instead directly computes its well-sampled analytic Fourier transform, for use with the convolution theorem. A simple analytic transform exists when the kernel is described by the popular Gauss-Hermite parametrization (which includes the Gaussian as special case) for the line-of-sight velocity distribution. I describe how this idea was implemented in a significant upgrade to the publicly available pPXF software. The key advantage of the new approach is that it provides accurate velocities regardless of . This is important e.g. for spectroscopic surveys targeting galaxies with , for galaxy redshift determinations, or for measuring line-of-sight velocities of individual stars. The proposed method could also be used to fix Gaussian convolution algorithms used in today's popular software packages.
14 pages, 4 figures, LaTeX. Accepted for publication in MNRAS. The upgrade to the pPXF method described in this paper is available at http://purl.org/cappellari/software
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- The source of leaking ionizing photons from Haro11 -- Clues from HST/COS spectroscopy of knots A, B and C
- The MURALES survey II. Presentation of MUSE observations of 20 3C low-z radio galaxies and first results
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- The SAMI galaxy survey: galaxy size can explain the offset between star-forming and passive galaxies in the mass-metallicity relationship
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- The Kormendy Relation of Galaxies in the Frontier Fields Clusters: Abell S1063 and MACS J1149.5+2223
- Ionized Outflows in Nearby Quasars are Poorly Coupled to their Host Galaxies
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- Composite Bulges -- II. Classical Bulges and Nuclear Discs in Barred Galaxies: The Contrasting Cases of NGC 4608 and NGC 4643
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- The dark side of galaxy stellar populations I: The stellar-to-halo mass relation and the velocity dispersion - halo mass relation
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- Unexplored outflows in nearby low luminosity AGNs: the case of NGC 1052
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- Spectroscopic decomposition of NGC 3521: unveiling the properties of the bulge and disc
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- A hidden active galactic nucleus powering bright [O III] nebulae in a protocluster at revealed by JWST
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- Mapping electron temperature variations across a spiral arm in NGC 1672
- The PUMA project. III. Incidence and properties of ionised gas disks in ULIRGs, associated velocity dispersion and its dependence on starburstiness
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- A galaxy's accretion history unveiled from its integrated spectrum
- The MASSIVE Survey -- XVII. A Triaxial Orbit-based Determination of the Black Hole Mass and Intrinsic Shape of Elliptical Galaxy NGC 2693
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- The SAMI-Fornax Dwarfs Survey III: Evolution of [/Fe] in dwarfs, from Galaxy Clusters to the Local Group
- INSPIRE: INvestigating Stellar Population In RElics III. Second data release (DR2): testing the systematics on the stellar velocity dispersion
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- A statistical study of the optical spectral variability in gamma-ray blazars
- First direct dynamical detection of a dual supermassive black hole system at sub-kiloparsec separation
- The most probable host of CHIME FRB 190425A, associated with binary neutron star merger GW190425, and a late-time transient search
- Evidence of wind signatures in the gas velocity profiles of Red Geysers
- Optical spectral characterization of the gamma-ray blazars S4 0954+65, TXS 1515-273 and RX J0812.0+0237
- The Bimodal Absorption System Imaging Campaign (BASIC) I. A Dual Population of Low-metallicity Absorbers at z
- A Triple AGN in the NGC 7733-7734 Merging Group
- Stellar Population Synthesis with Distinct Kinematics: Multi-Age Asymmetric Drift in SDSS-IV MaNGA Galaxies
- H Reverberation Mapping of the Intermediate-Mass Active Galactic Nucleus in NGC 4395
- Age, metallicity and star formation history of spheroidal galaxies in cluster at z~1.2
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- Formation of S0s in extreme environments II: the star-formation histories of bulges, discs and lenses
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- A long hard-X-ray look at the dual active galactic nuclei of M51 with NuSTAR
- HI galaxies with little star formation: an abundance of LIERs
- Kinematics, Structure, and Mass Outflow Rates of Extreme Starburst Galactic Outflows
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- The transient event in NGC 1566 from 2017 to 2019 -- I. An eccentric accretion disk and a turbulent, disk-dominated broad-line region unveiled by double-peaked Ca II and O I lines
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- The KMOS Cluster Survey (KCS) III: fundamental plane of cluster galaxies at in JKCS 041
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- The SAMI Galaxy Survey: Using Tidal Streams and Shells to Trace the Dynamical Evolution of Massive Galaxies
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- The MURALES survey. III. Completing the MUSE observations of 37 3C low-z radio galaxies
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- No evidence of AGN features in the nuclei of Arp 220 from JWST/NIRSpec IFS
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- Host Galaxy Properties of Changing-look AGN Revealed in the MaNGA Survey
- The young massive star cluster Westerlund 2 observed with MUSE. I. First results on the cluster internal motion from stellar radial velocities
- Bar ages derived for the first time in nearby galaxies: Insights on secular evolution from the TIMER sample
- eRASSt J074426.3+291606: prompt accretion disc formation in a 'faint and slow' tidal disruption event
- Spatially-resolved properties of early-type group-dominant galaxies with MUSE: gas content, ionisation mechanisms and metallicity gradients
- The Fornax 3D project: dust mix and gas properties in the center of early-type galaxy FCC 167
- DUVET: Spatially Resolved Observations of Star Formation Regulation via Galactic Outflows in a Starbursting Disk Galaxy
- A merging pair of massive quiescent galaxies at in the Cosmic Vine
- Discovery of a diffuse optical line emitting halo in the core of the Centaurus cluster of galaxies: Line emission outside the protection of the filaments
- A new class of dark matter-free dwarf galaxies? I. Clues from FCC 224, NGC 1052-DF2 and NGC 1052-DF4
- Discovery of an old nova remnant in the Galactic globular cluster M 22
- SDSS-IV MaNGA: Bayesian analysis of the star formation history of low-mass galaxies in the local Universe
- The Blue Supergiant Progenitor of the Supernova Imposter AT~2019krl
- Stellar and Molecular Gas Rotation in a Recently-Quenched Massive Galaxy at z~0.7
- The star formation history and the nature of the mass-metallicity relation of passive galaxies at 1.0<z<1.4 from VANDELS
- The fast transient AT 2023clx in the nearby LINER galaxy NGC 3799 as a tidal disruption of a very low-mass star
- Forward Modeling of Spectroscopic Galaxy Surveys: Application to SDSS
- Looking into the faintEst WIth MUSE (LEWIS): Exploring the nature of ultra-diffuse galaxies in the Hydra-I cluster II. Stellar kinematics and dynamical masses
- Stellar kinematics in the nuclear regions of nearby LIRGs with VLT-SINFONI. Comparison with gas phases and implications for dynamical mass estimations
- Towards precise galaxy evolution: a comparison between spectral indices of galaxies in the IllustrisTNG simulation and the LEGA-C survey
- The effects of peculiar velocities in SN Ia environments on the local measurement
- More is better: Strong constraints on the stellar properties of LEGA-C z ~ 1 galaxies with Prospector
- 3D modeling of the molecular gas kinematics in optically-selected jellyfish galaxies
- Radio jet-ISM interaction and positive radio-mechanical feedback in Abell 1795
- Using Host Galaxy Spectroscopy to Explore Systematics in the Standardisation of Type Ia Supernovae
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- Two interacting galaxies hiding as one, revealed by MaNGA
- CLASH-VLT: The inner slope of the MACS J1206.2-0847 dark matter density profile
- Spectroscopic confirmation and modelling of two lensed quadruple quasars in the Dark Energy Survey public footprint
- The LEGA-C of nature and nurture in stellar populations of galaxies at z~0.6-1.0: D4000 and H-delta reveal different assembly histories for quiescent galaxies in different environments
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- A geostatistical analysis of multiscale metallicity variations in galaxies [II]: Predicting the metallicities of Hii and diffuse ionised gas regions via universal kriging
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- A Precise Benchmark for Cluster Scaling Relations: Fundamental Plane, Mass Plane and IMF in the Coma Cluster from Dynamical Models
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- The assembly history of the nearest S0 galaxy NGC 3115 from its kinematics out to six half-light radii
- GA-NIFS: A galaxy-wide outflow in a Compton-thick mini-BAL quasar at z = 3.5 probed in emission and absorption
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- Stellar Kinematics and Environment at z~0.8 in the LEGA-C Survey: Massive, Slow-Rotators are Built First in Overdense Environments
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- Resolved and Integrated Stellar Masses in the SDSS-IV/MaNGA Survey, Paper I: PCA spectral fitting & stellar mass-to-light ratio estimates
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- MUSE observations of the giant low surface brightness galaxy Malin 1: Numerous HII regions, star formation rate, metallicity, and dust attenuation
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- Revisiting the black hole mass of M87* using VLT/MUSE Adaptive Optics Integral Field Unit data I: Ionized gas kinematics
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- NGC 1436: the making of a lenticular galaxy in the Fornax cluster
- Keck Cosmic Web Imager (KCWI) Spectra of Globular Clusters and Ultra Compact Dwarfs in the Halo of M87
- The Velocity Dispersion Function for Massive Quiescent and Star-Forming Galaxies at 0.6 z 1.0
- Mild radial variations of the stellar IMF in the bulge of M31
- Revealing the formation mechanism of the shell galaxy NGC474 with MUSE
- Spatially-resolved stellar populations and kinematics with KCWI: probing the assembly history of the massive early-type galaxy NGC 1407
- Constraints on the densities and temperature of Seyfert 2 NLR
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- Optical emission lines in the most massive galaxies: morphology, kinematics and ionisation properties
- JWST/NIRSpec insights into the circumnuclear region of Arp 220: A detailed kinematic study
- Surprisingly Strong K-band Emission Found in Low Luminosity Active Galactic Nuclei
- The SAMI Galaxy Survey: Kinematics of stars and gas in brightest group galaxies; the role of group dynamics
- Chemical abundance of LINER galaxies -- Metallicity calibrations based on SDSS-IV MaNGA
- The APOGEE Library of Infrared SSP Templates (A-LIST): High-Resolution Simple Stellar Population Spectral Models in the H-Band
- Evidence for an accreting massive black hole in He 2-10 from adaptive optics integral field spectroscopy
- AlFoCS + F3D II: unexpectedly low gas-to-dust ratios in the Fornax galaxy cluster
- Reconstructing the extended structure of multiple sources strongly lensed by the ultra-massive elliptical galaxy SDSS J0100+1818
- Flexible Models for Galaxy Star Formation Histories Both Shift and Scramble the Optical Color-M/L Relationship
- Impact of Galaxy Mergers on Stellar Population Profiles of Early-type Galaxies
- Extraplanar HII Regions in the edge-on Spiral Galaxies NGC 3628 and NGC 4522
- A Comparison of Outflow Properties in AGN Dwarfs vs. Star Forming Dwarfs
- MUSE-AO view of the starburst-AGN connection: NGC 7130
- The VIRUS-P Exploration of Nearby Galaxies (VENGA): The stellar populations and assembly of NGC 2903's bulge, bar, and outer disc
- The Fundamental Plane of cluster spheroidal galaxies at z. Evidence for mass-dependent evolution
- SDSS-IV MaNGA: The [/Fe] of Early-Type Galaxies
- JADES reveals a large population of low mass black holes at high redshift
- Fast Rotators at Cosmic Noon: Stellar Kinematics for 15 Quiescent Galaxies from JWST-SUSPENSE
- WIggle Corrector Kit for NIRSpEc Data: WICKED
- The young massive star cluster Westerlund 2 observed with MUSE. II. MUSEpack -- a Python package to analyze the kinematics of young star clusters
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- A luminous X-ray transient in SDSS J143359.16+400636.0: a likely tidal disruption event
- Keck Spectroscopy of NGC 1052-DF9: Stellar Populations in the Context of the NGC 1052 Group
- MUSE crowded field 3D spectroscopy in NGC 300 III. Characterizing extremely faint HII regions and diffuse ionized gas
- Triaxial Schwarzschild Models of NGC 708: a 10-billion solar mass black hole in a low dispersion galaxy with a Kroupa IMF
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- Shutting down or powering up a (U)LIRG? Merger components in distinctly different evolutionary states in IRAS 19115-2124 (The Bird)
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- Systematic research of low redshift optically selected SDSS Type-2 AGN but with apparent long-term optical variabilities from Catalina Sky Survey, I: data sample and basic results
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- Detection of the 2175Å UV Bump at z>7: Evidence for Rapid Dust Evolution in a Merging Reionisation-Era Galaxy
- SCAT Uncovers ATLAS's First Tidal Disruption Event ATLAS18mlw: A Faint and Fast TDE in a Quiescent Balmer Strong Galaxy
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- SDSS-IV MaNGA: Stellar population correlates with stellar root-mean-square velocity gradients or total-density-profile slopes at fixed effective velocity dispersion
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- iMaNGA: mock MaNGA galaxies based on IllustrisTNG and MaStar SSPs. -- III. Stellar metallicity drivers in MaNGA and TNG50
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- Revisiting the Giant Radio Galaxy ESO 422-G028: Part I. Discovery of a neutral inflow and recent star formation in a restarted giant
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- SDSS-IV MaNGA: Ionization sources of diffuse extra-planar galactic medium
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- Hidden in Plain Sight: UVIT and MUSE Discovery of a Large, Diffuse Star-Forming Galaxy
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- The H IX galaxy survey III: The gas-phase metallicity in HI eXtreme galaxies
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- GA-NIFS: AGN activity in a Lyα emitter within a triple-AGN system anchored by a passive galaxy at z=3
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- New Dynamical Measurements from a Lensed Quasar Sample: Joint Analysis Constrains the Mass Profile Evolution of Lens Galaxies
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- SDSS-IV MaNGA: Data-Model Discrepancy in Temperature-sensitive Line Ratios for Star-forming Galaxies
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- The Nuclear Star Cluster of M 74: a fossil record of the very early stages of a star-forming galaxy
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- The Redshifts from 122 Bands: Comparative Redshift Forecast for Low-Resolution Spectra from SPHEREx and 7-Dimensional Sky Survey (7DS)