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A Generalized Sampling Theorem Over Galois Field Domains for Experimental Design

Authors

Yoshifumi Ukita, Yokohama College of Commerce, Japan

Abstract

In this paper, the sampling theorem for bandlimited functions over ᠳᠲ䙦ᡩ䙧ぁ domains is generalized to one over ∏〒⢀⡩ぁᠳᠲ䙦ᡩ〒䙧domains. The generalized theorem is applicable to the experimental design model in which each factor has a different number of levels and enables us to estimate the parameters in the model by using Fourier transforms. Moreover, the relationship between the proposed sampling theorem and orthogonal arrays is also provided.

Keywords

Digital Signal Processing, Sampling Theorem, Experimental Design, Orthogonal Arrays, Fourier Analysis

Full Text  Volume 5, Number 16