Citation:
Brahimi M, Melkemi K, Boussaad A. Design of nonstationary wavelets through the positive solution of Bezout’s equation. Journal of Interdisciplinary Mathematics [Internet]. 2021;24 (3) :553-565.
Date Published:
2021Abstract:
In this paper, we present a new technique for constructing a nonstationary wavelet. The key idea relies on the following: for each wavelet level, we solve the Bezout’s equation and we propose a positive solution over the interval [–1, 1]. Using the Bernstein’s polynomials we approximate this proposed positive solution with the intention to perform a spectral factorization.