Two-dimensional FIR compaction filter design

The design of signal-adapted multirate filter banks has recently been an area of research interest. The authors present the design of a 2-D finite impulse response (FIR) compaction filter followed by a 2-D FIR filter bank that packs the maximum energy of the input process into a few subbands. The energy compaction property of the 2-D compaction filter is extremely good for higher filter orders and converges to the ideal optimal solution as the order tends to infinity. The design procedure is very straightforward and involves a 2-D spectral factorisation.