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SARG: STOCHASTIC MODELLING OF WEATHER DATA

MARKOV CHAIN MODEL

  1. ANNUAL RAINFALL

** summarize data into categories (say, low, medium, high) for each station
** generate Transition Probability Matrix (TPM) using Maximum Likelihood Estimator (MLE) for each.

  1. MONTHLY RAINFALL

** summarize data into WET & DRY

*** Schwarz criterion to choose the best optimum order
*** Use Chapman-Kolmogorov equation to determine the ergodic distribution matrix of the system.

Journals

SARG: Modelling Kutunse Primary Beams from Simulations I

Sim 1: Using OSKAR

  1. Geometrical model of Kutunse dish
  • Consider the dish as a collection of dipoles;
  • Assume the radial distribution of the dipoles to be a Super-Gaussian; (Note: This will mimic an aperture illumination of the dish)
  • Introduce errors in the dipole orientations to distort the main reflector
  • Introduce phase error to also distort the beam (this will introduce feed displacement)
  • remove the supporting structures (i.e. the struts and secondary reflector)
  • vary the size of the secondary reflector
  1. Produce Complex beams
  • Refer to Jones matrix
  1. Produce Complete beams
  • Refer to Mueller matrix
  1. Measure the Intrinsic Polarisation Leakage (IXR)

  2. Estimate the FWHM across all frequencies (5 - 6.7 GHz)

  3. Reconstruct the simulated beam models

  • Apply Zernike Moments Using the strongest Coefficients
  • Apply SVD using fewer eigenvalues for reconstruction.

SARG: Modelling Kutunse Primary Beams from Simulations II

sim 2: Using GRASP

  1. Geometrical model of the instrument
  • compare different spherical cuts
  1. Distort the beam by using feed displacement
  2. change the size of the reflector to distort the beam
  3. _Produce IXR, FWHM vrs frequences, CO & Cross polarised plots _
  4. Reconstruct beams Using Zernike, SVD, SH

NB: conclude that future work will be done using holography

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