Current Development in Theory and Applications of Wavelets
Volume 1, Issue 1, Pages 97 - 106
(April 2007)
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AN INTRODUCTION TO TIME-SHIFT EQUATIONS
Nhan Levan (U.S.A.) and Carlos S. Kubrusly (Brazil)
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Abstract:
Dilation Equations play an important role in Wavelet Multiresolution Approximation. A dilation equation is a difference equation for fixed scale summing over all time-shifts. In this note we introduce a class of equations called Time-Shift Equations. A time-shift equation is a difference equation for fixed time-shift summing over all scales. Analysis leading to derivation of these equations will occupy the rest of the note. |
| Keywords and phrases: wavelet multiresolution approximation, dilation equations, time-shift equations, time-shift multiresolution approximation. |
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