TITLE:
Chebyshev Biorthogonal Multiwavelets and Approximation
AUTHORS:
Xiaolin Zhou, Qun Lin
KEYWORDS:
Chebyshev Polynomials, Chebyshev Multiwavelets, Function Approximation
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.9 No.2,
February
7,
2021
ABSTRACT: In this paper, we construct Chebyshev biorthogonal multiwavelets, and use this multiwavelets to approximate signals (functions). The convergence rate for signal approximation is derived. The fast signal decomposition and reconstruction algorithms are presented. The numerical examples validate the theoretical analysis.