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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
LTFK,LXFK
Figure 1.
Schematic illustration of LTFK decomposition (a) and LXFK decomposition (b) by using the LTF decomposition.
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next up previous [pdf]

Next: Example of Time-frequency Characterization Up: Theory Previous: Local time-frequency (LTF) decomposition

2013-04-13