The theory of sompi spectral analysis and its application to the earth's free oscillations 存否スペクトル解析法の理論と地球自由振動への応用
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著者
書誌事項
- タイトル
-
The theory of sompi spectral analysis and its application to the earth's free oscillations
- タイトル別名
-
存否スペクトル解析法の理論と地球自由振動への応用
- 著者名
-
今西, 祐一
- 著者別名
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イマニシ, ユウイチ
- 学位授与大学
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東京大学
- 取得学位
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理学博士
- 学位授与番号
-
甲第8901号
- 学位授与年月日
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1991-03-29
注記・抄録
博士論文
目次
- Contents / p3 (0006.jp2)
- 1 The theory of the sompi method / p1 (0012.jp2)
- 1.1 Introduction / p2 (0013.jp2)
- 1.2 Basic concept and the line of approach / p5 (0016.jp2)
- 1.3 Dynamic models of higher-order AR equations / p17 (0028.jp2)
- 1.4 Spectral estimation by the sompi method / p23 (0034.jp2)
- 1.5 Error analysis of characteristic frequencies / p29 (0040.jp2)
- 1.6 Further comments on the algorithm / p35 (0046.jp2)
- 1.7 Concluding remarks / p42 (0053.jp2)
- 2 Detection of seismic core modes using a superconducting gravimeter record / p45 (0056.jp2)
- 2.1 Introduction / p46 (0057.jp2)
- 2.2 Core Modes / p46 (0057.jp2)
- 2.3 Analysis and Results / p48 (0059.jp2)
- 2.4 Discussion / p55 (0066.jp2)
- 3 The theory of the vector sompi method / p58 (0069.jp2)
- 3.1 Introduction / p59 (0070.jp2)
- 3.2 Theoretical basis for the use of a vector AR model / p60 (0071.jp2)
- 3.3 Spectral estimation by the vector sompi method / p69 (0080.jp2)
- 3.4 Numerical examples / p81 (0092.jp2)
- 4 Stacking analysis for the longest-period free oscillations of the Earth / p92 (0103.jp2)
- 4.1 Introduction / p93 (0104.jp2)
- 4.2 Data / p94 (0105.jp2)
- 4.3 Stacking analysis by means of the sompi method / p96 (0107.jp2)
- 4.4 Discussion / p107 (0118.jp2)
- 5 Sompi spectral analysis of time series data with a variable sampling rate / p109 (0120.jp2)
- 5.1 Introduction / p110 (0121.jp2)
- 5.2 Theory / p111 (0122.jp2)
- 5.3 Numerical examples / p116 (0127.jp2)
- 5.4 Concluding remarks / p122 (0133.jp2)
- A Equivalence of a linear homogeneous difference equation and a linear homogeneous differential equation / p124 (0135.jp2)
- B Error propagation analysis of the eigenvalue problem for a real,symmetric and positive-definite matrix / p127 (0138.jp2)
- C A complex AR model / p131 (0142.jp2)
- D Derivation of(3.3.16) / p134 (0145.jp2)
- E The matrix elements / p138 (0149.jp2)
- Acknowledgments / p141 (0152.jp2)
- References / p142 (0153.jp2)