An Eigenvector-based Method of Radio Array Calibration and Its Application to the Tianlai Cylinder Pathfinder

Abstract

We propose an eigenvector-based formalism for the calibration of radio interferometer arrays. In the presence of a strong dominant point source, the complex gains of the array can be obtained by taking the first eigenvector of the visibility matrix. We use the stable principle component analysis (SPCA) method to help separate outliers and noise from the calibrator signal to improve the performance of the method. This method can be applied with poorly known beam model of the antenna, and is insensitive to outliers or imperfections in the data, and has low computational complexity. It thus is particularly suitable for the initial calibration of the array, which can serve as the initial point for more accurate calibrations. We demonstrate this method by applying it to the cylinder pathfinder of the Tianlai experiment, which aims to measure the dark energy equation of state using the baryon acoustic oscillation (BAO) features in the large scale structure by making intensity mapping observation of the redshifted 21~cm emission of the neutral hydrogen (HI). The complex gain of the array elements and the beam profile in the East-West direction (short axis of the cylinder) are successfully obtained by applying this method to the transit data of bright radio sources.

arXiv comment14 pages, 12 figures

References in corpus (12)

• A model of diffuse Galactic Radio Emission from 10 MHz to 100 GHz
• Baryon Acoustic Oscillation Intensity Mapping as a Test of Dark Energy
• Post-correlation radio frequency interference classification methods
• LOFAR facet calibration
• Revisiting the radio interferometer measurement equation. I. A full-sky Jones formalism
• Radio interferometric gain calibration as a complex optimization problem
• Radio Interferometric Calibration Using The SAGE Algorithm
• Precision Calibration of Radio Interferometers Using Redundant Baselines
• Revisiting the radio interferometer measurement equation. II. Calibration and direction-dependent effects
• Forecasts on the Dark Energy and Primordial Non-Gaussianity Observations with the Tianlai Cylinder Array
• Sky reconstruction from transit visibilities: PAON-4 and Tianlai Dish Array
• Sky reconstruction for the Tianlai cylinder array

Cited by in corpus (8)

• The Tianlai Dish Pathfinder Array: design, operation and performance of a prototype transit radio interferometer
• The Tianlai Cylinder Pathfinder Array: System Functions and Basic Performance Analysis
• The BINGO Project V: Further steps in Component Separation and Bispectrum Analysis
• The Electromagnetic Characteristics of the Tianlai Cylindrical Pathfinder Array
• A Fast Transient Backend to Detect FRBs with the Tianlai Dish Pathfinder Array
• Measurement of the Primary Beam of the Tianlai Cylindrical Antenna Using an Unmanned Aerial Vehicle
• Beamforming in Interferometer Arrays with Cross-couplings
• Foreground Subtraction with a Tensor-Based Oriented Singular Value Decomposition Method for HI Experiments