(9) |

(10) |

**Multiple reflections**
are predictable.
It is the unpredictable part of a signal,
the prediction residual,
that contains the primary information.
The output of the filter (1,-*f _{1}*, -

The error-filter family are filters with one coefficient constrained to be unity and various other coefficients constrained to be zero. Otherwise, the filter coefficients are chosen to have minimum power output. Names for various error filters follow:

prediction-error (PE) filtergapped PE filter with a gap of 2interpolation-error (IE) filtera gapped IE filter

A program for computing all the error filters
will be presented after we examine a collection of examples.
1

- Prediction-error filters on synthetic data
- PE filters on field data
- Prediction-error filter output is white.
- Proof that PE filter output is white
- Nonwhiteness of gapped PE-filter output
- Postcoloring versus prewhitening

10/21/1998