TY - JOUR
T1 - Construction of Real-Valued Wavelets by Symmetry
AU - Zhou, D. X.
PY - 1995/6
Y1 - 1995/6
N2 - A construction of orthogonal wavelet bases in L2(Rd) from a multiresolution analysis is given when the scaling function is skew-symmetric about an integer point. These wavelets are real-valued when the scaling function is real-valued. As an application, orthogonal wavelets generated by polyharmonic B-splines are obtained. We also present an example to show that the center of a skew-symmetric scaling function may not be in Zd/2. © 1995 Academic Press. All rights reserved.
AB - A construction of orthogonal wavelet bases in L2(Rd) from a multiresolution analysis is given when the scaling function is skew-symmetric about an integer point. These wavelets are real-valued when the scaling function is real-valued. As an application, orthogonal wavelets generated by polyharmonic B-splines are obtained. We also present an example to show that the center of a skew-symmetric scaling function may not be in Zd/2. © 1995 Academic Press. All rights reserved.
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U2 - 10.1006/jath.1995.1054
DO - 10.1006/jath.1995.1054
M3 - RGC 21 - Publication in refereed journal
SN - 0021-9045
VL - 81
SP - 323
EP - 331
JO - Journal of Approximation Theory
JF - Journal of Approximation Theory
IS - 3
ER -