Calibration Requirements for Detecting the EoR Power Spectrum N. - - PowerPoint PPT Presentation

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Calibration Requirements for Detecting the EoR Power Spectrum N. - - PowerPoint PPT Presentation

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Power Spectrum Space Calibration Sim Setup Traditional Cal Recommendations Calibration Requirements for Detecting the EoR Power Spectrum N. Barry Department of Physics University of Washington December 8th, 2016 Science at Low Frequencies

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Power Spectrum Space Calibration Sim Setup Traditional Cal Recommendations

Calibration Requirements for Detecting the EoR Power Spectrum

  • N. Barry

Department of Physics University of Washington

December 8th, 2016 Science at Low Frequencies III

  • N. Barry

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Power Spectrum Space Calibration Sim Setup Traditional Cal Recommendations

The 2D Power Spectrum

By Bryna Hazelton

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Intrinsic Foregrounds EoR Window Foreground Wedge

h

  • r

i z

  • n

p r i m a r y fi e l d

  • f

v i e w

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Power Spectrum Space Calibration Sim Setup Traditional Cal Recommendations

Looking at the 2D Power Spectrum

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Dirty, calibrated (6950 sources)

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Model, 72% flux (4000 sources)

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Residual, 28% flux (2950 sources)

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Residual, 28% flux (2950 sources)

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Residual PS

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Residual PS

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Residual PS

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"perfect calibration" = no calibration errors

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Difference – per freq, per pol, per antenna calibration

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Difference – per freq, per pol, per antenna calibration

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Difference – per freq, per pol, per antenna calibration

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◮ Entire window is saturated

by as much as 107, or an

  • rder of magnitude above

the EoR

◮ Foreground wedge have

been over fit

◮ Measurement of the EoR

impossible!

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Modulation

h(ν) = f(ν) (1 + ∆g cos η0ν) (1) The modulation theorem results in the Fourier transform H(η) = ∆g 2 F(η − η0) + ∆g 2 F(η + η0) + F(η) (2) An order of magnitude estimate of the positive power spectrum

  • f this modified signal is

O(|H(η)|2) ≈ O(|F(η)|2) + O

  • ∆g

2 F(η ± η0)

  • 2

(3)

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Final 1D comparison

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Power Spectrum Space Calibration Sim Setup Traditional Cal Recommendations

Recommendations

◮ No frequency structure faster than 8 MHz (125 ns) in

instrument

◮ Frequency structure needs to be lower than 1 part in 105 ◮ Validation of calibration techniques

◮ in the space of the measurement ◮ using incomplete models

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For more information...

◮ Barry N., Hazelton B., Sullivan, I. Morales M. F., Pober J.

C., 2016 , MNRAS, doi:10.1093/mnras/stw1380

◮ Trott C. M. and Wayth R. B., 2016, PASA, 33, e019

doi:10.1017/pasa.2016.18.

◮ Patil A. H., Yatawatta S., Zaroubi S., Koopmans L. V. E., de

Bruyn A. G., Jelić V., Ciardi B., Iliev I. T., Mevius M., Pandey V. N., Gehlot B. K., 2016, MNRAS, doi:10.1093/mnras/stw2277

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