Title :
Smooth wavelets, transform coding, and Markov-1 processes
Author :
Usevitch, Bryan ; Orchard, Michael T.
Author_Institution :
Illinois Univ., Urbana, IL, USA
Abstract :
The energy compacting properties of unitary filters from transform coders and paraunitary filters from subband coders are composed using a cost criterion which is proposed. Stationary processes for which paraunitary filters have better energy compaction than unitary filters are denoted as subband optimal, and all subband optimal processes are analytically characterized for the case of length-4 filters. It is shown analytically for length-4 filters and empirically for longer length filters that Markov-1 processes are subband optimal, and that the Daubechies maximally smooth wavelet sequences achieve better energy compaction than the best unitary filters for Markov-1 inputs
Keywords :
Markov processes; filtering theory; transform coding; wavelet transforms; Daubechies maximally smooth wavelet sequences; Markov-1 processes; cost criterion; energy compacting properties; energy compaction; paraunitary filters; subband optimal; transform coding; unitary filters; Channel bank filters; Compaction; Cost function; Filter bank; Image coding; Image reconstruction; Research and development; Transform coding; Wavelet analysis; Wavelet transforms;
Conference_Titel :
Circuits and Systems, 1993., ISCAS '93, 1993 IEEE International Symposium on
Conference_Location :
Chicago, IL
Print_ISBN :
0-7803-1281-3
DOI :
10.1109/ISCAS.1993.393774