Biorthogonal Sampling Functions Associated With Meyer Type Wavelets

In this article, we study a class of biorthogonal sampling functions in the context of bandlimited wavelets, Meyer type wavelets. Originally raised in the construction of bandlimited wavelets, these sampling functions also possess a similar structure to the scaling functions of wavelets with adjustable bandwidth parameters. In addition, these sampling functions are infinite impulse response (IIR) filters and share all the principal advantage that the IIR type has such as computational efficiency. They are easy to compute with fast decreasing property in time domain and suitable for representing bandlimited signals with sharp cut-off. Numerical examples are given to illustrate the construction of sampling functions and properties of associated sampling series. Keyword: Sampling functions, bandlimited functions, Meyer wavelets.