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Title of article :
An Analysis of Cardinal Spline-Wavelets Original Research Article
Author/Authors :
C.K. Chui، نويسنده , , J.Z. Wang، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 1993
Pages :
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Abstract :
The mth order cardinal B-spline-wavelet (or simply, B-wavelet) ψm is known to generate orthogonal decompositions of any function in L2(−∞, ∞). Since ψm is usually considered as a bandpass filter, a wavelet series g = ∑ cjψm(·−j) may be treated as a bandpass signal. Hence, the problem of characterizing g from its "zerocrossings" is very important in the application of spline-wavelets to signal analysis. However, since g is not an entire function, weak sign changes of g must also be taken into consideration. The objective of this paper is to initiate a study of this important problem. It is noted, in particular, that in contrast to the total positivity property of the mth order B-spline, the B-wavelet ψm seems to possess a remarkable property, which we call "complete oscillation."
Journal title :
Journal of Approximation Theory
Serial Year :
Link To Document :