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ON THE CODING GAIN OF SEPARABLE 2D WAVELET FILTER BANKS Michael D. Adams
 

Summary: ON THE CODING GAIN OF SEPARABLE 2D WAVELET FILTER BANKS
Michael D. Adams
Dept. of Elec. and Comp. Engineering, University of Victoria, Victoria, BC, V8W 3P6, Canada
ABSTRACT
It has been observed that filter banks from a certain popular separa-
ble 2D wavelet class always appear to have a higher coding gain with
respect to a separable image model than with respect to an isotropic
one. This behavior is examined in detail and an explanation for it
is offered. As it turns out, for such filter banks, it is highly improb-
able (if not impossible) for the isotropic coding gain to exceed the
separable coding gain.
Index Terms-- image coding, wavelet transforms, filter banks,
coding gain, separable/isotropic image models
1. INTRODUCTION
Wavelet filter banks are frequently used for image coding (e.g., [1]).
In this context, one important characteristic of a filter bank is its
coding gain [2], which is often used as a criterion in optimal filter-
bank design. In earlier work, Xu and Adams [3] observed that, for a
certain popular class of filter banks, the separable coding gain always
seems to exceed the isotropic coding gain. In particular, this class is

  

Source: Adams, Michael D. - Department of Electrical and Computer Engineering, University of Victoria

 

Collections: Engineering