A theory of extended pseudo-biorthogonal bases and its applications 拡張擬似双直交基底の理論とその応用

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著者

    • Berrached, Nasr-eddine ベラシ, ナスエディン

書誌事項

タイトル

A theory of extended pseudo-biorthogonal bases and its applications

タイトル別名

拡張擬似双直交基底の理論とその応用

著者名

Berrached, Nasr-eddine

著者別名

ベラシ, ナスエディン

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2529号

学位授与年月日

1992-09-30

注記・抄録

博士論文

目次

  1. 論文目録 / (0002.jp2)
  2. Contents / p1 (0004.jp2)
  3. 1 Introduction / p1 (0012.jp2)
  4. 1.1 Introduction / p2 (0013.jp2)
  5. 1.2 Signal recovery / p2 (0013.jp2)
  6. 1.3 Series expansion methods / p4 (0015.jp2)
  7. 1.4 Concept of PBOB / p5 (0016.jp2)
  8. 1.5 Theme of the present research / p8 (0019.jp2)
  9. 1.6 Organization of the dissertation / p9 (0020.jp2)
  10. 2 Extended pseudo-biorthogonal bases (EPBOB) / p10 (0021.jp2)
  11. 2.1 Introduction / p11 (0022.jp2)
  12. 2.2 Definition of EPBOB and preliminaries / p12 (0023.jp2)
  13. 2.3 Characterization of EPBOB / p19 (0030.jp2)
  14. 2.4 Properties of EPBOB / p24 (0035.jp2)
  15. 2.5 Commutative EPBOB / p26 (0037.jp2)
  16. 2.6 Construction of EPBOB / p29 (0040.jp2)
  17. 2.7 Conclusion / p32 (0043.jp2)
  18. 3 Special types of EPBOB / p34 (0045.jp2)
  19. 3.1 Introduction / p35 (0046.jp2)
  20. 3.2 Preliminaries / p35 (0046.jp2)
  21. 3.3 EPBOB of type O / p37 (0048.jp2)
  22. 3.4 EPBOB of type L / p43 (0054.jp2)
  23. 3.5 EPBOB of type LC / p47 (0058.jp2)
  24. 3.6 Relationships among O-, L-, and LC-EPBOB / p52 (0063.jp2)
  25. 3.7 Conclusion / p54 (0065.jp2)
  26. 4 Extended biorthogonal bases (EBOB) / p56 (0067.jp2)
  27. 4.1 Introduction / p57 (0068.jp2)
  28. 4.2 Definition and characterization / p57 (0068.jp2)
  29. 4.3 Commutative EBOB / p61 (0072.jp2)
  30. 4.4 Construction of EBOB / p62 (0073.jp2)
  31. 4.5 Special types of EBOB / p63 (0074.jp2)
  32. 4.6 Conclusion / p64 (0075.jp2)
  33. 5 General sampling theorem as an extended pseudo-biorthogonal expansion / p65 (0076.jp2)
  34. 5.1 Introduction / p66 (0077.jp2)
  35. 5.2 Formulation of the sampling problem / p67 (0078.jp2)
  36. 5.3 General Sampling Theorem / p68 (0079.jp2)
  37. 5.4 General sampling theorem for ideal pulse / p71 (0082.jp2)
  38. 5.5 Discussion of the general sampling theorem / p72 (0083.jp2)
  39. 5.6 Conclusion / p76 (0087.jp2)
  40. 6 Image reconstruction from projections / p77 (0088.jp2)
  41. 6.1 Introduction / p78 (0089.jp2)
  42. 6.2 Series expansion method equivalent to the Fourier transform method / p79 (0090.jp2)
  43. 6.3 Finite sum expression / p82 (0093.jp2)
  44. 6.4 Reconstruction formula as an extended pseudo-biorthogonal expansion / p83 (0094.jp2)
  45. 6.5 Conclusion / p84 (0095.jp2)
  46. 7 Conclusions / p85 (0096.jp2)
  47. Acknowledgements / p88 (0099.jp2)
  48. Appendix / p90 (0101.jp2)
  49. Bibliography / p99 (0110.jp2)
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各種コード

  • NII論文ID(NAID)
    500000096870
  • NII著者ID(NRID)
    • 8000000097098
  • DOI(NDL)
  • NDL書誌ID
    • 000000261184
  • データ提供元
    • NDL-OPAC
    • NDLデジタルコレクション
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