Spatial filtering radio astronomical data - One-dimensional case

Statistics – Computation

Scientific paper

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Antenna Radiation Patterns, Brightness Distribution, Radio Astronomy, Spatial Filtering, Computational Astrophysics, Data Processing, Error Analysis, Noise Spectra, Signal To Noise Ratios

Scientific paper

The problem of making radio astronomical measurements of radio brightness is explored for the one-dimensional case of an antenna with a strip aperture and a fan beam. An infinite number of equally spaced observed points is assumed. The mean-square interpolation and restoration errors are determined as functions of the separation between observations, antenna width, and signal-to-noise ratio for two antenna illumination functions: uniform illumination and truncated Gaussian illumination with a 15-dB taper. For this one-dimensional problem, it is found that observations should be separated by about half the full 3-dB beamwidth in the case of truncated Gaussian illumination, which corresponds to a normal antenna. For a given error, restoration is much more expensive in observing time than interpolation.

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