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A Design Method for Compactly Supported Sampling Function Generator

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Advances in Multimedia Information Processing — PCM 2002 (PCM 2002)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 2532))

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Abstract

This paper proposes the design method of a function generator for use in a Digital-to-Analog converter for DVD-Audio. The impulse response of the function generator is a compactly supported sampling function of degree 2 that is expressed in the form of linear combination of quadratic piecewise polynomials function systems. To generate this impulse response, we design the convolution operator that can generate quadratic piecewise polynomials from the basis rectangular function. The function generator is constructed by combining a set of these convolution operators suitably. We further simplify the design of this function generator by making use of a two-scale relation of piecewise polynomials. This function generator can be realized in a small scale circuitry.

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References

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Authors and Affiliations

  1. The Center for Tsukuba Advanced Research Alliance, University of Tsukuba, 1-1-1 Tennodai, 305-8577, Tsukuba, Ibaraki, Japan

    Koji Nakamura, Kazuo Toraichi & Kenji Sayano

  2. Institute of Infromation Sciences and Electronics, University of Tsukuba, Tsukuba, Japan

    Kazuki Katagishi

  3. Niigata Seimitsu Co., Ltd., Japan, Shibaohmon116 bldg. 8F, 1-16-3, 105-0012, Minato-ku, Tokyo, Shibaohmon, Japan

    Akira Okamoto & Yukio Koyanagi

Authors
  1. Koji Nakamura
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  2. Kazuo Toraichi
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  3. Kazuki Katagishi
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  4. Kenji Sayano
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  5. Akira Okamoto
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  6. Yukio Koyanagi
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Editor information

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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© 2002 Springer-Verlag Berlin Heidelberg

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Nakamura, K., Toraichi, K., Katagishi, K., Sayano, K., Okamoto, A., Koyanagi, Y. (2002). A Design Method for Compactly Supported Sampling Function Generator. In: Chen, YC., Chang, LW., Hsu, CT. (eds) Advances in Multimedia Information Processing — PCM 2002. PCM 2002. Lecture Notes in Computer Science, vol 2532. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-36228-2_51

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  • DOI: https://doi.org/10.1007/3-540-36228-2_51

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-00262-8

  • Online ISBN: 978-3-540-36228-9

  • eBook Packages: Springer Book Archive

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