# Distributed Radio Interferometric Calibration

@article{Yatawatta2015DistributedRI, title={Distributed Radio Interferometric Calibration}, author={Sarod Yatawatta}, journal={ArXiv}, year={2015}, volume={abs/1502.00858} }

Increasing data volumes delivered by a new generation of radio interferometers require computationally efficient and robust calibration algorithms. In this paper, we propose distributed calibration as a way of improving both computational cost as well as robustness in calibration. We exploit the data parallelism across frequency that is inherent in radio astronomical observations that are recorded as multiple channels at different frequencies. Moreover, we also exploit the smoothness of the…

## 51 Citations

Data Multiplexing in Radio Interferometric Calibration

- Computer ScienceArXiv
- 2017

Simulation results are given to show the feasibility of the proposed multiplexing scheme in simultaneously calibrating a full dataset when a limited number of compute agents are available.

Robust Calibration of Radio Interferometers in Multi-Frequency Scenario

- Computer Science2018 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP)
- 2018

An iterative robust calibration algorithm based on a relaxed maximum likelihood estimator for a specific context: observations are affected by the presence of outliers and parameters of interest have a specific structure depending on frequency is proposed.

Robust distributed calibration of radio interferometers with direction dependent distortions

- PhysicsSignal Process.
- 2018

Fine tuning consensus optimization for distributed radio interferometric calibration

- Computer Science2016 24th European Signal Processing Conference (EUSIPCO)
- 2016

The Hessian of the cost function used in calibration is used to appropriately select the penalty parameter used in the alternating direction method of multipliers (ADMM) iterations to improve the quality of calibration of radio interferometric data.

Parallel Calibration for Sensor Array Radio Interferometers

- Computer Science
- 2016

Realistic numerical simulations reveal that the proposed scheme outperforms the mono-wavelength calibration scheme and approaches the derived constrained Cram\'er-Rao bound even with the presence of non-calibration sources at unknown directions, in a computationally efficient manner.

Performance Analysis of Distributed Radio Interferometric Calibration

- Physics2018 IEEE 10th Sensor Array and Multichannel Signal Processing Workshop (SAM)
- 2018

This work derives an analytical relationship between the input and output probability density functions which can be used to study the performance of calibration.

Stochastic Calibration of Radio Interferometers

- Computer ScienceArXiv
- 2020

Stochastic calibration overcomes the need for data averaging before any calibration can be performed, and offers many advantages including: enabling the mitigation of faint radio frequency interference; better removal of strong celestial sources from the data; and better detection and spatial localization of fast radio transients.

Distributed Model Construction in Radio Interferometric Calibration

- Computer Science2018 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP)
- 2018

This work proposes a distributed optimization strategy to construct models for the systematic errors in the data using the calibration solutions as an elastic net regularized distributed optimization problem which is solved using the alternating direction method of multipliers (ADMM) algorithm.

Parallel multi-wavelength calibration algorithm for radio astronomical arrays

- PhysicsSignal Process.
- 2018

Efficient Calibration of Radio Interferometers Using Block LDU Decomposition

- Computer Science2018 26th European Signal Processing Conference (EUSIPCO)
- 2018

It is shown that combining a block-LDU decomposition with Gauss-Newton iterations produces systems of equations with convergent matrices that allows significant reduction in complexity per iteration and very fast converging algorithms.

## References

SHOWING 1-10 OF 23 REFERENCES

Nonlinear Kalman filters for calibration in radio interferometry

- Physics
- 2014

The data produced by the new generation of interferometers are affected by a wide variety of partially unknown complex effects such as pointing errors, phased array beams, ionosphere, troposphere,…

Radio Interferometric Calibration Using The SAGE Algorithm

- Computer ScienceDSP 2009
- 2009

The Space Alternating Generalized Expectation Maximization (SAGE) calibration technique is presented, which is a modification of the Expectations Maximization algorithm, and its performance is compared with the traditional least squares calibration based on the level of solver noise introduced by each technique.

On the interpolation of calibration solutions obtained in radio interferometry

- MathematicsArXiv
- 2012

The theory of quotient manifolds is proposed to be used for obtaining correct interpolants that are immune to unitary matrix ambiguities and the case where each solution is aﬀected by any unknownunitary ambiguity is presented.

Reduced ambiguity calibration for LOFAR

- PhysicsArXiv
- 2012

A method for LOFAR calibration which does not yield a unitary ambiguity, especially under ionospheric distortions is presented and cases where due to degeneracy, this method fails to perform as expected and in such cases, it is suggested exploiting diversity in time, space and frequency.

PURIFY: a new approach to radio-interferometric imaging

- Computer Science
- 2014

The authors release a beta version of an SDMM-based imaging software written in C and dubbed PURIFY that handles various sparsity priors, including the recent average sparsity approach SARA, and evaluates the performance of different priors through simulations in the continuous visibility setting, confirming the superiority of SARA.

Interferometry and Synthesis in Radio Astronomy

- Physics
- 1986

Preface to the Second Edition. Preface to the First Edition. Introduction and Historical Review. Introductory Theory of Interferometry and Synthesis Imaging. Analysis of the Interferometer Response.…

Interferometry And Synthesis In Radio Astronomy

- Physics
- 2016

The interferometry and synthesis in radio astronomy is universally compatible with any devices to read and is available in the book collection an online access to it is set as public so you can download it instantly.

D-ADMM: A Communication-Efficient Distributed Algorithm for Separable Optimization

- Computer ScienceIEEE Transactions on Signal Processing
- 2013

D-ADMM is proven to converge when the network is bipartite or when all the functions are strongly convex, although in practice, convergence is observed even when these conditions are not met.

Multi-Agent Distributed Optimization via Inexact Consensus ADMM

- Computer ScienceIEEE Transactions on Signal Processing
- 2015

Low-complexity algorithms are proposed that can reduce the overall computational cost of consensus ADMM by an order of magnitude for certain large-scale problems and offer considerably lower computational complexity.

A Distributed and Scalable Processing Method Based Upon ADMM

- Computer ScienceIEEE Signal Processing Letters
- 2012

This letter proposes a modification of state-of-the-art ADMM formulations in order to obtain a scalable version, well suited for a wide range of applications such as cooperative localization and smart grid optimizations.