Study of the approximate restoration of signals based on stochastic sample values 確率的な標本値に基づく信号の近似的な復元に関する研究

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著者

    • Sa-Nguankotchakorn, Somsak サ グアンコットチャコン, ソムサック

書誌事項

タイトル

Study of the approximate restoration of signals based on stochastic sample values

タイトル別名

確率的な標本値に基づく信号の近似的な復元に関する研究

著者名

Sa-Nguankotchakorn, Somsak

著者別名

サ グアンコットチャコン, ソムサック

学位授与大学

東京工業大学

取得学位

博士 (工学)

学位授与番号

甲第2628号

学位授与年月日

1993-03-26

注記・抄録

博士論文

目次

  1. Contents / p1 (0004.jp2)
  2. 1 Introduction / p5 (0006.jp2)
  3. 1.1 Problem Formulation and Objective / p5 (0006.jp2)
  4. 1.2 Research Background / p7 (0007.jp2)
  5. 1.3 Research Outline / p9 (0008.jp2)
  6. 2 Preliminaries / p11 (0009.jp2)
  7. 2.1 Notations and Definitions / p11 (0009.jp2)
  8. 2.2 Shannon and Someya's Sampling Theorem / p17 (0012.jp2)
  9. 3 Generating Function for Sampling Theorem / p19 (0013.jp2)
  10. 3.1 Introduction / p19 (0013.jp2)
  11. 3.2 Some Notations and Definitions / p19 (0013.jp2)
  12. 3.3 Generating Function and Interpolation Functions / p20 (0014.jp2)
  13. 3.4 Proof of Sufficiency and Necessity / p23 (0015.jp2)
  14. 3.5 Summary / p28 (0018.jp2)
  15. 4 Generating Functions Minimizing Some Measures / p29 (0018.jp2)
  16. 4.1 Introduction / p29 (0018.jp2)
  17. 4.2 Measure of Weight Factor [数式] / p30 (0019.jp2)
  18. 4.3 Measure of Weight Factor [数式] / p34 (0021.jp2)
  19. 4.4 Measure of Generalized Weight Factor / p36 (0022.jp2)
  20. 4.5 Measure of Weight Factor 1+[数式] / p38 (0023.jp2)
  21. 4.6 Re-composition of Interpolation Functions / p44 (0026.jp2)
  22. 4.7 Summary / p46 (0027.jp2)
  23. 5 Some Considerations on Generalized Sampling Theorem of Low-Pass Stochastic Signals / p47 (0027.jp2)
  24. 5.1 Introduction / p47 (0027.jp2)
  25. 5.2 Some Notations and Definitions / p48 (0028.jp2)
  26. 5.3 Interpolation of Band-limited Stochastic Signals / p49 (0028.jp2)
  27. 5.4 Calculation of Interpolation Functions / p53 (0030.jp2)
  28. 5.5 Covariance and Variance of Output Signals / p55 (0031.jp2)
  29. 5.6 Summary / p57 (0032.jp2)
  30. 6 Interpolatory Estimation of Multi-Dimensional Orthogo-nal Expansion with Stochastic Coefficients / p59 (0033.jp2)
  31. 6.1 Introduction / p59 (0033.jp2)
  32. 6.2 Some Notations and Definitions / p61 (0034.jp2)
  33. 6.3 Set of Signals under Consideration / p63 (0035.jp2)
  34. 6.4 Definition of Measure of Error / p67 (0037.jp2)
  35. 6.5 Concrete Expression of Measure of Error / p69 (0038.jp2)
  36. 6.6 Summary / p71 (0039.jp2)
  37. 7 Derivation of Generalized Optimum Interpolation Functions / p73 (0040.jp2)
  38. 7.1 Introduction / p73 (0040.jp2)
  39. 7.2 Derivation of Generalized Optimum Interpolation Functions / p74 (0041.jp2)
  40. 7.3 Generalized Discrete Orthogonality / p77 (0042.jp2)
  41. 7.4 Simultaneous Minimization of Various Measures of Errors / p80 (0044.jp2)
  42. 7.5 Additional Considerations / p82 (0045.jp2)
  43. 7.6 Summary / p84 (0046.jp2)
  44. 8 Entire Summary / p85 (0046.jp2)
  45. Acknowledgments / p87 (0047.jp2)
  46. Bibliography / p89 (0048.jp2)
  47. Reference of Author's Researches and Presentations / p93 (0050.jp2)
  48. A General Form of Generating Function / p95 (0051.jp2)
  49. B General Form of Interpolation Functions / p101 (0054.jp2)
  50. B.1 Interpolation Functions of General form of Generating Function / p101 (0054.jp2)
  51. B.2 Interpolation Functions of Theorem 4.5 / p104 (0056.jp2)
  52. C Proof of Sufficiency and Necessity of Generalized Sampling Theorem / p107 (0057.jp2)
  53. C.1 Proof of Sufficiency / p107 (0057.jp2)
  54. C.2 Proof of Necessity / p110 (0059.jp2)
  55. D Derivation of Power Spectrum Density Functions / p113 (0060.jp2)
  56. E Some Proofs of Formulas / p115 (0061.jp2)
  57. F Schwarz Inequality in Statistical Case / p117 (0062.jp2)
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各種コード

  • NII論文ID(NAID)
    500000096969
  • NII著者ID(NRID)
    • 8000000097197
  • DOI(NDL)
  • NDL書誌ID
    • 000000261283
  • データ提供元
    • NDL-OPAC
    • NDLデジタルコレクション
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