Optimal design and realization of 2-D state-space digital filters 2次元状態空間ディジタルフィルタの最適設計に関する研究

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Author

    • 林, 涛 リン, タオ

Bibliographic Information

Title

Optimal design and realization of 2-D state-space digital filters

Other Title

2次元状態空間ディジタルフィルタの最適設計に関する研究

Author

林, 涛

Author(Another name)

リン, タオ

University

東北大学

Types of degree

工学博士

Grant ID

甲第4290号

Degree year

1990-10-11

Note and Description

博士論文

Table of Contents

  1. Contents / p2 (0006.jp2)
  2. Chapter 1 Introduction / p5 (0009.jp2)
  3. 1.1 Background of the Work / p5 (0009.jp2)
  4. 1.2 Survey of Previous Works / p9 (0013.jp2)
  5. 1.3 Contribution of the Present Work / p13 (0017.jp2)
  6. 1.4 Organization of this Dissertation / p16 (0020.jp2)
  7. References / p19 (0023.jp2)
  8. Chapter 2 Basic Theory of 2-D Digital Filters / p27 (0031.jp2)
  9. 2.1 2-D Digital Signals and 2-D Digital Filters / p27 (0031.jp2)
  10. 2.2 Stability of 2-D Digital Filters / p33 (0037.jp2)
  11. 2.3 Optimal Design and Realization of 2-D Digital Filters / p36 (0040.jp2)
  12. 2.4 2-D State-Space Digital Filters (SSDFs) / p38 (0042.jp2)
  13. References / p44 (0048.jp2)
  14. Figures 2.1-2.6 / p48 (0052.jp2)
  15. Chapter 3 An Optimal-Design-Oriented New Stability Condition for 2-D SSDFs / p54 (0058.jp2)
  16. 3.1 Lyapunov Approach to Stability / p54 (0058.jp2)
  17. 3.2 A New Stability Condition / p58 (0062.jp2)
  18. 3.3 Proof of the New Condition / p59 (0063.jp2)
  19. 3.4 Implication of the New Condition / p61 (0065.jp2)
  20. References / p63 (0067.jp2)
  21. Chapter 4 Optimal Design of 2-D SSDFs Based on the New condition / p65 (0069.jp2)
  22. 4.1 General Formulation for the Optimal Design of 2-D SSDFs with An Arbitrary Response and No Overflow Oscillations / p65 (0069.jp2)
  23. 4.2 Technique for Spatial Domain Design / p70 (0074.jp2)
  24. 4.3 Technique for Frequency Domain Design / p72 (0076.jp2)
  25. 4.4 Algorithm for Minimization of Functions / p76 (0080.jp2)
  26. 4.5 Method to Select the Starting Point / p81 (0085.jp2)
  27. 4.6 Numerical Examples / p84 (0088.jp2)
  28. 4.7 Concluding Remarks / p92 (0096.jp2)
  29. Appendix I / p95 (0099.jp2)
  30. Appendix II / p97 (0101.jp2)
  31. Appendix III / p99 (0103.jp2)
  32. References / p102 (0106.jp2)
  33. Tables 4.1-4.3 / p105 (0109.jp2)
  34. Figures 4.1-4.11 / p108 (0112.jp2)
  35. Chapter 5 Minimum Roundoff Noise Realizations of 2-D SSDFs / p119 (0123.jp2)
  36. 5.1 Model of Roundoff Noise / p119 (0123.jp2)
  37. 5.2 Variance of Output Noise and 2-D Noise Matrix / p121 (0125.jp2)
  38. 5.3 Scaling and 2-D Covariance Matrix / p126 (0130.jp2)
  39. 5.4 Frequency Dependent Lyapunov Equations for 2-D Noise Matrix and 2-D Covariance Matrix / p130 (0134.jp2)
  40. 5.5 Synthesis of Minimum Roundoff Noise Realizations / p135 (0139.jp2)
  41. 5.6 Numerical Examples / p140 (0144.jp2)
  42. 5.7 An Example of Image Processing / p145 (0149.jp2)
  43. 5.8 Concluding Remarks / p146 (0150.jp2)
  44. Appendix / p148 (0152.jp2)
  45. References / p150 (0154.jp2)
  46. Table 5.1 / p152 (0156.jp2)
  47. Figures 5.1-5.11 / p153 (0157.jp2)
  48. Chapter 6 Conclusions and Recommendations / p160 (0164.jp2)
  49. Acknowledgments / p164 (0168.jp2)
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Codes

  • NII Article ID (NAID)
    500000072407
  • NII Author ID (NRID)
    • 8000000072601
  • DOI(NDL)
  • NDLBibID
    • 000000236721
  • Source
    • NDL ONLINE
    • NDL Digital Collections

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