Author(s)

Xiaolin Zhou¹, Qun Lin²

¹Tan Kah Kee College, Xiamen University, Xiamen, China.
²Mathematical Science College, Xiamen University, Xiamen, China.

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.

Chebyshev Polynomials, Chebyshev Multiwavelets, Function Approximation

Zhou, X. and Lin, Q. (2021) Chebyshev Biorthogonal Multiwavelets and Approximation. Journal of Applied Mathematics and Physics, 9, 233-241. doi: 10.4236/jamp.2021.92017.