Seismic data analysis using local time-frequency decomposition

Local $t$ -$f$ -$k$ (LTFK) and local $x$ -$f$ -$k$ (LXFK) decompositions

Askari and Siahkoohi (2008) proposed $t$ -$f$ -$k$ and $x$ -$f$ -$k$ transforms that are based on the S transform. We define analogous LTFK and LXFK decompositions by using the LTF decomposition. The new decompositions can be used to design general time-varying or space-varying FK filters. The key steps of the algorithm are illustrated schematically in Figure 1.

LTFK,LXFK
Figure 1. Schematic illustration of LTFK decomposition (a) and LXFK decomposition (b) by using the LTF decomposition.

Seismic data analysis using local time-frequency decomposition