Noise sensitivity of interpolation and extrapolation matrices.

The noise sensitivity of interpolation and extrapolation matrices is investigated. For certain bandwidth and truncation parameters, the interpolation matrix is shown to yield results at a lower noise level than the input data. The input noise level, however, can be lowered by filtering the result. The noise level in the interpolated interval is shown to be lower near where the image is known. The extrapolation matrix is shown to be ill-conditioned, thus demonstrating severe sensitivity to input noise.