Theory of the optimum running approximation of extended filter banks with slightly non-linear analysis filters

Yuichi Kida; Takuro Kida

doi:10.1117/12.860178

7 September 2010 Theory of the optimum running approximation of extended filter banks with slightly non-linear analysis filters

Yuichi Kida, Takuro Kida

Author Affiliations +

Proceedings Volume 7799, Mathematics of Data/Image Coding, Compression, and Encryption with Applications XII; 77990H (2010) https://doi.org/10.1117/12.860178
Event: SPIE Optical Engineering + Applications, 2010, San Diego, California, United States

Abstract

In many physical effects and sensors in biomedical or engineering fields, it is often the case that some small non-linear characteristics are contained in the system. The previous paper treats approximation of non-linear filter bank.¹⁰ But, a running approximation is not treated. In this paper, we establish a theory of a favorable interpolation approximation of running filter banks with non-linear analysis filters based on the one-to-one correspondence between errors in a wide but limited volume and a certain small volume in the variable domain. Some additional considerations about the optimum interpolation approximation are presented also.

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Yuichi Kida and Takuro Kida "Theory of the optimum running approximation of extended filter banks with slightly non-linear analysis filters", Proc. SPIE 7799, Mathematics of Data/Image Coding, Compression, and Encryption with Applications XII, 77990H (7 September 2010); https://doi.org/10.1117/12.860178

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