Abstract
In this paper, we show that the Boas transform of Convolution (cross-correlation) of two wavelets satisfies the required admissibility and regularity conditions. These resulting new wavelets are then employed to analyze Boas transform of convolved (cross-correlated) signals by means of Boas transform wavelet convolution and cross-correlation theorems. Analogously to Bedrosian theorem, Boas transform product theorem is given.
| Original language | English |
|---|---|
| Pages (from-to) | 53-65 |
| Number of pages | 13 |
| Journal | Poincare Journal of Analysis and Applications |
| Volume | 2019 |
| Issue number | 1 |
| Publication status | Published - 2019 |
Keywords
- Boas transform
- Fourier transform
- Hilbert transform
- Vanishing moments
- Wavelets
ASJC Scopus subject areas
- Analysis
- Applied Mathematics