CONSTRUCTION OF COMPACTLY SUPPORTED WAVELETS FROM TRIGONOMETRIC B-SPLINES
2011 ◽
Vol 09
(05)
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pp. 843-865
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Keyword(s):
B Spline
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We construct a class of semiorthogonal wavelets by taking a normalized trigonometric B-spline of any order as the scaling function. The construction is based on generalized Euler–Frobenius polynomial and generalized autocorrelation function. We also show that the odd order normalized trigonometric B-spline satisfies convex hull property as well as partition of unity property. Moreover, we also present a subdivision algorithm for the convolution of normalized trigonometric B-splines. Several examples of wavelet are also provided.
2014 ◽
Vol 12
(02)
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pp. 1450018
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Keyword(s):
2009 ◽
Vol 07
(03)
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pp. 255-267
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Keyword(s):
2012 ◽
Vol 542-543
◽
pp. 547-550
Keyword(s):
2011 ◽
Vol 393-395
◽
pp. 659-662
Keyword(s):
2013 ◽
Vol 8
(4)
◽
pp. 157-166
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