Spline Wavelets of Small Support
نویسنده
چکیده
Every m th order cardinal spline wavelet is a linear combination of the functions fN (l) m+l (2x?j); j 2 Zg. Here the function N m is the m th order cardinal B-spline. In this paper we prove that the single function N (l) m+l (2x), or N (l) m+l (2x ? 1) is a wavelet when m and l satisfy some mild conditions. As l decreases, so does the support of the wavelet. When l increases, the smoothness of the dual wavelet improves. Each wavelet is constructed by spline multiresolution analysis. The dual multiresolution analyses are given.
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تاریخ انتشار 1993