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   -> Volume 2, Issue 13

Abstract of a critical review
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Ali N. Akansu (NJIT, Newark NJ), Adil Benyassine (NJIT, Newark NJ)

PostPosted: Fri Nov 29, 2002 3:35 pm    
Subject: Abstract of a critical review
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Abstract of a critical review

Time-frequency localization in transforms,
subbands, and wavelets: a critical review
Optical Engineering July 1993 ,Vol. 32 Number 7
By: R.A. Haddad (Polytec. Uni. Hawthorne, NY)
A.N. Akansu (NJIT, Newark NJ)
Adil Benyassine (NJIT, Newark NJ)

Abstract: In many still-image and video processing applications,
the time-frequency localization properties of the decomposition technique
are an important consideration. While bandwidth compression of the image
requires operators with good localization in frequency, spatial
features such as edge preservation demand a high degree of localization
in time (or the spatial variable). These requirements compete with each
other and one is secured at the expense of the other. The classical
"uncertainty principle" in the continous-time domain provides the back drop
for this trade-off. Our purpose is to review recent extensions of this
principle to the discrete-time case and to develop optimum wave forms.
We review common features of block transforms, subband filter banks, and
wavelets, and demonstrate how the discrete uncertainty can be used to
evaluate these decomposition methods. In particular, we evaluate the
trade-off between localization in time and in frequency for several
proposed signal decomposition structures.
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