Characterization of Biorthogonal Cardinal Spline Wavelet Bases

نویسنده

  • Debao Chen
چکیده

In both applications and wavelet theory, the spline wavelets are especially interesting, in part because of their simple structure. In a previous paper we proved that the function m;l is an m th order spline wavelet having an l th order spline dual wavelet. This enabled us to derive biorthogonal spline wavelet bases. In this paper we rst study the general structure of cardinal spline wavelets, and then give the characterization of biorthogonal cardinal spline wavelets bases. We also prove that the function m;l is an minimally supported m th order cardinal spline wavelet having an l th order cardinal spline dual wavelet. various properties of the wavelet m;l are given.

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تاریخ انتشار 1994