Quadratic fluency DA functions as non-uniform sampling functions for interpolating sampled-values

作者: Kazuo Toraichi , Kazuki Katagishi , Yasuhiro Ohmiya , Kenichi Ikeda , Hitomi Murakami

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摘要: Interpolation for sampled-values with non-uniform sampling points is required various cases of signal processing. In such a case, functions are useful to interpolate and then generate signals as linear combination the basis weighted by sequence sampled-values. This paper proposes points, each which composed piecewise polynomials degree 2. We name fluency DA The smooth undulate from

参考文章(11)
Kazuo Toraichi, Kazuki Katagishi, Yasuo Morooka, Hitomi Murakami, Yasuhiro Omiya, Mitsuteru Nakamura, A secure coding for function-approximated images international conference on communications. pp. 416- 420 ,(2008)
Klaus Krippendorff, Mathematical Theory of Communication pp. 614- ,(2009)
Kazuki Katagishi, Kazuo Toraichi, Motoko Obata, Koichi Wada, A practical least squares approximation based on biorthonormal expansions in the signal space of piecewise polynomials Ieej Transactions on Electronics, Information and Systems. ,vol. 118, pp. 353- 365 ,(1998) , 10.1541/IEEJEISS1987.118.3_353
I. J. Schoenberg, Cardinal Spline Interpolation ,(1987)
Kazuo Toraichi, Kazuki Katagishi, Yasuhiro Ohmiya, Kenichi Ikeda, Hitomi Murakami, Mitsuteru Nakamura, Fluency DA functions as non-uniform sampling functions for interpolating sampled-values international conference on circuits. pp. 302- 309 ,(2008)
Kazuo Toraichi, Koji Nakamura, Sampling Function of Degree 2 for DVD-Audio Ieej Transactions on Electronics, Information and Systems. ,vol. 123, pp. 928- 937 ,(2003) , 10.1541/IEEJEISS.123.928
Masaru Kamada, Kazuo Toraichi, Ryoichi Mori, Periodic spline orthonormal bases Journal of Approximation Theory. ,vol. 55, pp. 27- 34 ,(1988) , 10.1016/0021-9045(88)90108-6
CE Shennon, Warren Weaver, A mathematical theory of communication Bell System Technical Journal. ,vol. 27, pp. 379- 423 ,(1948) , 10.1002/J.1538-7305.1948.TB01338.X
Kazuo Toraichi, Masaru Kamadas, A note on connection between spline signal spaces and band-limited signal spaces Electronics and Communications in Japan Part Iii-fundamental Electronic Science. ,vol. 74, pp. 70- 78 ,(1991) , 10.1002/ECJC.4430740408
E. T. Whittaker, XVIII.—On the Functions which are represented by the Expansions of the Interpolation-Theory Proceedings of the Royal Society of Edinburgh. ,vol. 35, pp. 181- 194 ,(1915) , 10.1017/S0370164600017806