Current Development in Theory and Applications of Wavelets
Volume 1, Issue 1, Pages 97 - 106
(April 2007)
|
|
AN INTRODUCTION TO TIME-SHIFT EQUATIONS
Nhan Levan (U.S.A.) and Carlos S. Kubrusly (Brazil)
|
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. |
| |
| Number of Downloads: 247 | Number of Views: 679 |
|
