TIGHT FRAME CHARACTERIZATION OF MULTIWAVELET VECTOR FUNCTIONS IN TERMS OF THE POLYPHASE MATRIX
2009 ◽
Vol 07
(01)
◽
pp. 9-21
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Keyword(s):
The extension principles play an important role in characterizing and constructing of wavelet frames. The common extension principles, the unitary extension principle (UEP) or the oblique extension principle (OEP), are based on the unitarity of the modulation matrix. In this paper, we state the UEP and OEP for refinable function vectors in the polyphase representation. Finally, we apply our results to directional wavelets on triangles which we have constructed in a previous work. We will show that the wavelet system generates a tight frame for L2(ℝ2).
Keyword(s):
2014 ◽
Vol 12
(02)
◽
pp. 1450011
◽
2014 ◽
Vol 57
(2)
◽
pp. 254-263
◽
Keyword(s):
2021 ◽
Vol 17
(1)
◽
pp. 79-94
2013 ◽
Vol 712-715
◽
pp. 2458-2463
2008 ◽
Vol 06
(01)
◽
pp. 97-120
◽