Software Holography: Interferometric Data Analysis for the Challenges of Next Generation Observatories
arXiv:0810.5107 · doi:10.1111/j.1365-2966.2009.15537.x
Abstract
Next generation radio observatories such as the MWA, LWA, LOFAR, CARMA and SKA provide a number of challenges for interferometric data analysis. These challenges include heterogeneous arrays, direction-dependent instrumental gain, and refractive and scintillating atmospheric conditions. From the analysis perspective, this means that calibration solutions can not be described using a single complex gain per antenna. In this paper we use the optimal map-making formalism developed for CMB analyses to extend traditional interferometric radio analysis techniques--removing the assumption of a single complex gain per antenna and allowing more complete descriptions of the instrumental and atmospheric conditions. Due to the similarity with holographic mapping of radio antenna surfaces, we call this extended analysis approach software holography. The resulting analysis algorithms are computationally efficient, unbiased, and optimally sensitive. We show how software holography can be used to solve some of the challenges of next generation observations, and how more familiar analysis techniques can be derived as limiting cases.
in review
References in corpus (4)
Cited by in corpus (38)
- The Murchison Widefield Array: the Square Kilometre Array Precursor at low radio frequencies
- Reionization and Cosmology with 21 cm Fluctuations
- A Per-Baseline, Delay-Spectrum Technique for Accessing the 21cm Cosmic Reionization Signature
- The Epoch of Reionization Window: I. Mathematical Formalism
- New Limits on 21cm EoR From PAPER-32 Consistent with an X-Ray Heated IGM at z=7.7
- The Epoch of Reionization Window: II. Statistical Methods for Foreground Wedge Reduction
- First Season MWA EoR Power Spectrum Results at Redshift 7
- Precision Calibration of Radio Interferometers Using Redundant Baselines
- Fast Holographic Deconvolution: a new technique for precision radio interferometry
- First Season MWA Phase II EoR Power Spectrum Results at Redshift 7
- The Fundamental Multi-Baseline Mode-Mixing Foreground in 21 cm EoR Observations
- The Importance of Wide-field Foreground Removal for 21 cm Cosmology: A Demonstration With Early MWA Epoch of Reionization Observations
- Omniscopes: Large Area Telescope Arrays with only N log N Computational Cost
- Understanding the Diversity of 21 cm Cosmology Analyses
- The impact of interference excision on 21-cm Epoch of Reionization power spectrum analyses
- Measuring Phased-Array Antenna Beampatterns with High Dynamic Range for the Murchison Widefield Array using 137 MHz ORBCOMM Satellites
- The FHD/ppsilon Epoch of Reionization Power Spectrum Pipeline
- Understanding synthesis imaging dynamic range
- Optimized Beam Sculpting with Generalized Fringe-Rate Filters
- Improved 21 cm Epoch Of Reionization Power Spectrum Measurements with a Hybrid Foreground Subtraction and Avoidance Technique
- Sky reconstruction from transit visibilities: PAON-4 and Tianlai Dish Array
- A High Reliability Survey of Discrete Epoch of Reionization Foreground Sources in the MWA EoR0 Field
- Constraining Polarized Foregrounds for EOR Experiments II: Polarization Leakage Simulations in the Avoidance Scheme
- A Tapered Gridded Estimator (TGE) for the Multi-Frequency Angular Power Spectrum (MAPS) and the Cosmological HI 21-cm Power Spectrum
- A Map of Diffuse Radio Emission at 182 MHz to Enhance Epoch of Reionization Observations in the Southern Hemisphere
- A Generic and Efficient E-field Parallel Imaging Correlator for Next-Generation Radio Telescopes
- Evidence of Ultra-faint Radio Frequency Interference in Deep 21~cm Epoch of Reionization Power Spectra with the Murchison Widefield Array
- Probing reionization with the cross power spectrum of 21 cm and near-infrared radiation backgrounds
- An imaging algorithm for a lunar orbit interferometer array
- Beamforming Errors in Murchison Widefield Array Phased Array Antennas and their effects on Epoch of Reionization Science
- A Real-Time, All-Sky, High Time Resolution, Direct Imager for the Long Wavelength Array
- An Efficient Feedback Calibration Algorithm for Direct Imaging Radio Telescopes
- The Role of the Instrumental Response in 21 cm EoR Power Spectrum Gridding Analyses
- The precision and accuracy of early Epoch of Reionization foreground models: comparing MWA and PAPER 32-antenna source catalogs
- Direct Optimal Mapping for 21cm Cosmology: A Demonstration with the Hydrogen Epoch of Reionization Array
- The FHD Polarized Imaging Pipeline: A New Approach to Widefield Interferometric Polarimetry
- The Tracking Tapered Gridded Estimator (TTGE) for the power spectrum from drift scan observations
- Comparison of Fast, Hybrid Imaging Architectures for Multi-scale, Hierarchical Aperture Arrays