IEEE TRANSACTIONS ON SIGNAL PROCESSING 1 Balanced
نویسنده
چکیده
This paper deals with multiwavelets which are a recent generalization of wavelets in the context of multirate lter banks and with their applications to signal processing and especially compression. By their inherent structure, multiwavelets are t for processing multi-channel signals. First, we will recall some general results on multiilters by looking at them as time-varying lters. Then, we will link this to multiwavelets, looking closely at the convergence of the iterated matrix product leading to them and the typical properties we can expect. Then, we will deene under what conditions we can apply systems based on multiwavelets to one-dimensional signals in a simple way. That means we will give some natural and simple conditions that should help in the design of new multiwavelets for signal processing. Finally, we will provide some tools in order to construct multiwavelets with the required properties, the so-called`balanced multiwavelets'.
منابع مشابه
Balanced Multiwavelets Theory and Design - Signal Processing, IEEE Transactions on
This correspondence deals with multiwavelets, which are a recent generalization of wavelets in the context of time-varying filter banks and with their applications to signal processing and especially compression. By their inherent structure, multiwavelets are fit for processing multichannel signals. This is the main issue in which we will be interested here. The outline of the correspondence is...
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