Superresolution of noisy band-limited data by data adaptive regularization and its application to seismic trace inversion, Proc. 1990 International Conference on Acoustics, Speech, and Signal Processing, vol. 3, pp. 1237-1240, IEEE Signal Processing Society, Apr. 1990, Albuquerque, NM.
Abstract
Recovering a broadband object from noisy band-limited observations is
an ill-posed problem. If the object has discontinuities, the
solution by the conventional Tikhonov regularization method loses them
though the solution can be stably obtained.
We have shown that a structural constraint such as the number of
spikes/discontinuities in the solution plays an important role in
recovering the missing frequency information in the presence of noise. This
non-linear constrained minimization problem has been solved by data adaptive
regularization. Applications of this method to
synthetic data have shown its superior resolving power and stability to the
conventional Tikhonov regularization method.
Get the official version via doi:10.1109/ICASSP.1990.115596.
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