@Article{NMTMA-6-2,
author = {},
title = {Conjugate Symmetric Complex Tight Wavelet Frames with Two Generators},
journal = {Numerical Mathematics: Theory, Methods and Applications},
year = {2013},
volume = {6},
number = {2},
pages = {353--363},
abstract = {<p style="text-align: justify;">Two algorithms for constructing a class
 of compactly supported
 conjugate symmetric complex tight wavelet frames $\Psi$={$\psi_1$, $\psi_2$} are derived. Firstly, a necessary and sufficient
condition for constructing the conjugate symmetric complex tight
wavelet frames is established. Secondly, based on a given conjugate
symmetric low pass filter, a description of a family of complex
wavelet frame solutions is provided when the low pass filter is of
even length. When one wavelet is conjugate symmetric and the other
is conjugate antisymmetric, the two wavelet filters can be obtained
by matching the roots of associated polynomials. Finally, two examples
are given to illustrate how to use our method to construct conjugate
symmetric
complex tight wavelet frames which have some vanishing moments.</p>},
issn = {2079-7338},
doi = {https://doi.org/10.4208/nmtma.2013.y11016},
url = {https://global-sci.com/article/90636/conjugate-symmetric-complex-tight-wavelet-frames-with-two-generators}
}