F-K FILTERING USING THE HARTLEY TRANSFORM

The Hartley transform (HT), which was originally introduced by Hartley (1942), is an integral transform similar to the Fourier transform (FT ), and it has most of the properties belonging to the FT. The HT is a real transform and is an alternative to the FT since one complex opera tion is equal to four real operations. Primary reflections in seismic records are often obscured by coherent noise that makes processing and interpretation difficult. Dipping events in the (t,x) plane can be se parated in the (f,k) plane by their dips, which allows certain types o f unwanted energy to be eliminated from the data. An f-k filter is des igned to filter and separate vertical seismic profiling (VSP) wavefiel ds using the HT. Testing shows that an f-k filter that uses the HT is faster, easier to use, and requires less memory space.