# Difference between revisions of "Dictionary:Backus filter"

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{{#category_index:B|Backus filter}} | {{#category_index:B|Backus filter}} | ||

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(bok’ ∂s) An inverse filter that removes the effects of reverberation involving a simple water bottom. The filter's ''z''-transform expression is | (bok’ ∂s) An inverse filter that removes the effects of reverberation involving a simple water bottom. The filter's ''z''-transform expression is | ||

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<center><math>1 + 2 k z^q + k^2 z^{2q} ,\ </math></center> | <center><math>1 + 2 k z^q + k^2 z^{2q} ,\ </math></center> | ||

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where ''k'' is the water-bottom reflection coefficient and ''qt''<sub>''s''</sub> is the two-way traveltime through the water layer if ''t''<sub>''s''</sub> is the sample interval. See Backus (1959)<ref>Backus, M. M., 1959, Water reverberations: their nature and elimination: Geophysics, 24, 233–261.</ref>. | where ''k'' is the water-bottom reflection coefficient and ''qt''<sub>''s''</sub> is the two-way traveltime through the water layer if ''t''<sub>''s''</sub> is the sample interval. See Backus (1959)<ref>Backus, M. M., 1959, Water reverberations: their nature and elimination: Geophysics, 24, 233–261.</ref>. | ||

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<references /> | <references /> | ||

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[[Category:Missing references]] | [[Category:Missing references]] | ||

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## Latest revision as of 08:44, 24 January 2017

(bok’ ∂s) An inverse filter that removes the effects of reverberation involving a simple water bottom. The filter's *z*-transform expression is

where *k* is the water-bottom reflection coefficient and *qt*_{s} is the two-way traveltime through the water layer if *t*_{s} is the sample interval. See Backus (1959)^{[1]}.

## References

- ↑ Backus, M. M., 1959, Water reverberations: their nature and elimination: Geophysics, 24, 233–261.