A Smooth Interpolation Method for Nonuniform Samples Based on Sampling Functions Composed of Piecewise Polynomials

Interpolation of nonuniform samples is required for various cases of signal processing. In such a case, we often use sampling functions to interpolate signals. We show one example of sampling functions to interpolate signals from nonuniform samples, inheriting the properties of the C-type Fluency sampling functions introduced by Toraichi et al. The proposed sampling function is locally supported and composed with piecewise polynomial functions of degree 2 as the C-type Fluency sampling function. In this paper, we extend the C-type Fluency sampling function and derive the nonuniform sampling function which has a favorable property such that it can interpolate flat signal from samples that are constant. By using this sampling function, we get smooth and small undulate signal from samples of arbitrary.

Authors and Affiliations

1. Doctoral Program, Graduate School of Systems and Information Engineering, University of Tsukuba, Japan

   Tomoyuki Takahashi

2. Institute of Information Sciences and Electronics, Tsukuba Advanced ReserchAlliance, University of Tsukuba, Japan

   Kazuo Toraichi, Keisuke Kameyama & Koji Nakamura

Editors and Affiliations

1. Department of Electrical Engineering, National Tsing Hua University, Hsinchu, Taiwan

   Yung-Chang Chen

2. Department of Computer Science, National Tsing Hua University, Hsinchu, Taiwan

   Long-Wen Chang  & Chiou-Ting Hsu  & 

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