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Part of the book series: Lecture Notes in Control and Information Sciences ((LNCIS,volume 398))

Abstract

YY filter, named after the founder Prof. Yutaka Yamamoto, is a digital filter designed by sampled-data control theory, which can optimize the analog performance of the signal processing system with AD/DA converters. This article discusses problems in conventional signal processing and introduces advantages of the YY filter.

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References

  1. Ashida, S., Kakemizu, H., Nagahara, M., Yamamoto, Y.: Sampled-data audio signal compression with Huffman coding. In: Proc. SICE Annual Conf. 2004, pp. 972–976 (2004)

    Google Scholar 

  2. Chen, T., Francis, B.A.: Optimal Sampled-Data Control Systems. Springer, Heidelberg (1995)

    MATH  Google Scholar 

  3. Kakemizu, H., Nagahara, M., Kobayashi, A., Yamamoto, Y.: Noise reduction of JPEG images by sampled-data H  ∞  optimal ε filters. In: Proc. SICE Annual Conf. 2005, pp. 1080–1085 (2005)

    Google Scholar 

  4. Kashima, K., Yamamoto, Y., Nagahara, M.: Optimal wavelet expansion via sampled-data control theory. IEEE Signal Process. Lett. 11, 79–82 (2004)

    Article  Google Scholar 

  5. Keller, J.P., Anderson, B.D.O.: A new approach to the discretization of continuous-time controllers. IEEE Trans. Autom. Control 37, 214–223 (1992)

    Article  MATH  MathSciNet  Google Scholar 

  6. Khargonekar, P.P., Yamamoto, Y.: Delayed signal reconstruction using sampled-data control. In: Proc. 35th IEEE CDC, pp. 1259–1263 (1995)

    Google Scholar 

  7. Mirkin, L., Tadmor, G.: Yet another H  ∞  discretization. IEEE Trans. Autom. Control 48, 891–894 (2003)

    Article  MathSciNet  Google Scholar 

  8. Nagahara, M.: Multirate digital signal processing via sampled-data H?8? optimization. Ph.D. thesis, Kyoto University (2003)

    Google Scholar 

  9. Nagahara, M., Sato, K.I., Yamamoto, Y.: H  ∞  optimal nonparametric density estimation from quantized samples. In: Proc. 40th ISCIE SSS (2008)

    Google Scholar 

  10. Nagahara, M., Yamamoto, Y.: Optimal design of fractional delay filters. In: Proc. 42nd IEEE CDC, pp. 6539–6544 (2003)

    Google Scholar 

  11. Nagahara, M., Yamamoto, Y.: Hybrid design of filtered-x adaptive algorithm via sampled-data control theory. In: Proc. 2008 IEEE ICASSP, pp. 353–356 (2008)

    Google Scholar 

  12. Nagahara, M., Yamamoto, Y.: Robust repetitive control by sampled-data H  ∞  filters? To appear in Proc. 48th IEEE CDC (2009)

    Google Scholar 

  13. Nagahara, M., Yamamoto, Y., Khargonekar, P.P.: Stability of signal reconstruction filters via exponential splines. In: Proc. 17th IFAC World Congress, pp. 1414–1419 (2008)

    Google Scholar 

  14. Shannon, C.E.: Communication in the presence of noise. Proc. IRE 37(1), 10–21 (1949)

    Article  MathSciNet  Google Scholar 

  15. Unser, M.: Sampling — 50 years after Shannon. Proc. IEEE 88(4), 569–587 (2000)

    Article  Google Scholar 

  16. Unser, M.: Cardinal exponential splines: part II — think analog, act digital. IEEE Trans. Signal Process. 53(4), 1439–1449 (2005)

    Article  MathSciNet  Google Scholar 

  17. Unser, M., Aldroubi, A.: A general sampling theory for nonideal acquisition devices. IEEE Trans. Signal Process. 42(11), 2915–2925 (1994)

    Article  Google Scholar 

  18. Unser, M., Aldroubi, A., Eden, M.: B-spline signal processing: part II — efficient design and applications. IEEE Trans. Signal Process. 41(2), 834–848 (1993)

    Article  MATH  Google Scholar 

  19. Unser, M., Blu, T.: Cardinal exponential splines: part I — theory and filtering algorithms. IEEE Trans. Signal Process. 53(4), 1425–1438 (2005)

    Article  MathSciNet  Google Scholar 

  20. Vetterli, M., Kovac̣ević, J.: Wavelets and Subband Coding. Prentice Hall, Englewood Cliffs (1995)

    MATH  Google Scholar 

  21. Yamamoto, Y.: Mathematics for Systems and Control. Asakura Publishing (1998)

    Google Scholar 

  22. Yamamoto, Y., Anderson, B.D.O., Nagahara, M., Koyanagi, Y.: Optimizing FIR approximation for discrete-time IIR filters. IEEE Signal Process. Lett. 10(9), 273–276 (2003)

    Article  Google Scholar 

  23. Yamamoto, Y., Madievski, A.G., Anderson, B.D.O.: Approximation of frequency response for sampled-data control systems. Automatica 35(4), 729–734 (1999)

    Article  MATH  MathSciNet  Google Scholar 

  24. Yamamoto, Y., Nagahara, M., Fujioka, H.: Multirate signal reconstruction and filter design via sampled-data H  ∞  control. In: Proc. 14th MTNS (2000)

    Google Scholar 

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Nagahara, M. (2010). YY Filter — A Paradigm of Digital Signal Processing. In: Willems, J.C., Hara, S., Ohta, Y., Fujioka, H. (eds) Perspectives in Mathematical System Theory, Control, and Signal Processing. Lecture Notes in Control and Information Sciences, vol 398. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-93918-4_30

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  • DOI: https://doi.org/10.1007/978-3-540-93918-4_30

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-93917-7

  • Online ISBN: 978-3-540-93918-4

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