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New Fast Optimal White-Noise Estimators for Deconvolution

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2 Author(s)
Mendel, J.M. ; Department of Electrical Engineering, University of Southern California, Los Angeles, CA 90007 ; Kormylo, J.

We present a brief qualitative discussion of Kalman filtering as contrasted with Wiener filtering, since the Kalman filter is an integral element in our new fast optimal white-noise estimators. Additionally, we present two fast algorithms, one of which is shown to be very efficient for calculating fixed-interval estimates of the reflection coefficient sequence, the other of which is shown to be very efficient for calculating either fixed-point or fixed-lag estimates of that sequence. Detailed operation counts are given which support these claims. Flow charts are also given for the Kalman filter and the two new fast smoothing algorithms.

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Geoscience Electronics, IEEE Transactions on  (Volume:15 ,  Issue: 1 )