Name
Abstract | ||
|---|---|---|
Wavelet kernels in the form of complex exponentials with linear instantaneous frequencies are discussed. These wavelets do not satisfy the commonly used admissibility condition; furthermore, they are neither band-, nor space-limited functions and they are not absolutely integrable. It is shown, however, that the wavelet transforms using these kernels are still invertable and the inversion formulas are given. Such kernels are closely related to wave propagation related phenomena like the diffraction and the holography, and therefore, the obtained mathematical results coincide to well known optical applications. The kernels may be useful in space-depth analysis of data obtained from diffraction related imaging techniques |
Year | DOI | Venue |
|---|---|---|
1994 | 10.1109/ICASSP.1994.390103 | Acoustics, Speech, and Signal Processing, 1994. ICASSP-94., 1994 IEEE International Conference |
Keywords | Field | DocType |
electromagnetic wave diffraction,electromagnetic wave propagation,holography,image processing,wavelet transforms,complex exponentials,diffraction,diffraction related imaging techniques,holography,inversion formulas,linear instantaneous frequencies,optical applications,quadratic phase functions,space-depth analysis,wave propagation,wavelet kernels,wavelet transforms | Integrable system,Kernel (linear algebra),Holography,Exponential function,Wave propagation,Mathematical analysis,Diffraction,Mathematics,Wavelet,Wavelet transform | Conference |
Volume | ISSN | ISBN |
iii | 1520-6149 | 0-7803-1775-0 |
Citations | PageRank | References |
1 | 0.37 | 3 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Levent Onural | 1 | 110 | 16.83 |
| Mefharet Kocatepe | 2 | 1 | 0.37 |
| Haldun M. Özaktas | 3 | 196 | 26.64 |