# Difference between revisions of "Ormsby filter"

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(corrected and simplified expression (had incorrect extra pi in sinc function)) |
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A common type of synthetic wavelet in reflection seismology. | A common type of synthetic wavelet in reflection seismology. | ||

− | :<math>A(t) = | + | :<math>A(t) = \frac{\pi f_1^2 }{f_2 - f_1} \mathrm{sinc}^2(f_1 t) - \frac{\pi f_2^2 }{f_2 - f_1} \mathrm{sinc}^2(f_2 t) |

− | - | + | - \frac{\pi f_3^2 }{f_4 - f_3} \mathrm{sinc}^2(f_3 t) + \frac{\pi f_4^2}{f_4 - f_3} \mathrm{sinc}^2(f_4 t) </math> |

where | where |

## Latest revision as of 15:16, 10 August 2020

A common type of synthetic wavelet in reflection seismology.

where

*f*_{1}= low-cut frequency*f*_{2}= low-pass frequency*f*_{3}= high-pass frequency*f*_{4}= high-cut frequency

An example might have frequencies of 5–10–40–45 Hz. This defines a trapezoidal shape in the frequency spectrum.

Ormsby-filtered wavelets have several sidelobes, unlike Ricker wavelets which only have two, one either side.

## See also

## External links

- Ryan, 1994. A choice of wavelets. CSEG Recorder September 1994.
- Ormsby filter — Sheriff's Encyclopedic Dictionary

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