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by Felix C. A. Fern, C. Sidney Burrus
Proc. ICASSP
http://www-dsp.rice.edu/publications/pub/felixfMband.ps.gz
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Abstract:
In this paper we investigate multiwavelet systems whose scaling functions have disjoint support. We demonstrate that, with the exception of a trivial case, this property may not be attained by two band multiwavelet systems. We show that to enjoy this property, it is indeed necessary to invoke M-band multiwavelet systems. This indicates the existence of tilings of the time-frequency plane that may be obtained with M-band multiwavelet systems but not with two band multiwavelet systems. Hence M-band multiwavelet systems are inherently more powerful than two band multiwavelet systems and deserve a thorough investigation. Finally, we derive K th order balancing conditions for M-band multiwavelet systems. These conditions will enable M-band multiwavelet systems to be used for practical digital signal processing applications. 1.
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