Theory of the optimum running approximation of extended filter banks with slightly non-linear analysis filters
Yuichi Kida, Takuro Kida · Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE · 2010
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.