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The first step in SAR interferogram processing
is often the resampling
of one complex SAR image to map it onto a second image
to within an accuracy of about a tenth of a resolution
element.
Although the implementation may be different, resampling can be viewed
as consisting of two steps:
-
reconstruction of the continuous signal from its sampled version by
convolution with an interpolation kernel i(x,y), and
-
sampling of the reconstructed signal at the new sampling grid.
This scheme holds even in many cases, where the convolution
(step 1) is not obvious.
For example, nearest neighbor and Lagrange-type interpolation of
equidistantly sampled data can be considered as a convolution with
particular kernels.
The choice of the interpolation kernel (especially its length) requires
a trade-off between interpolation accuracy and computational efficiency.
This brief communication shows that straightforward system theoretical
considerations give objective criteria for choosing or designing
interpolation kernels for interferometric processing.
Ramon Hanssen
Wed Jan 28 18:12:38 PST 1998