講演名 | 2012-07-02 A Robust Algebraic Phase Unwrapping Based on Spline Approximation , |
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抄録(和) | |
抄録(英) | The phase unwrapping is a problem to find, at any specified point, the value of the continuous phase function which contains valuable information in many applications. If a given data sequence of 2-D real vectors is modeled as samples of a complex polynomial, the exact unwrapped phase can be computed through algorithms named the algebraic phase unwrapping. In this paper, to promote the understanding and extend the practicability of the algebraic phase unwrapping, we propose a widely applicable phase unwrapping technique, by combining the spline smoothing and the algebraic phase unwrapping, for a given data sequence of 2-D noisy vectors. The spline smoothing works as an optimal preprocessing in the sense that it is the unique solution to a variational problem for minimizing the sum of "fidelity" to the data and "roughness" of the curve. Fortunately, since the standard spline smoothing and its various generalizations produce always low-order piecewise real polynomials, we can compute the exact unwrapped phase for the pair of piecewise polynomials without suffering from a certain numerical instability observed typically in applications of the algebraic phase unwrapping to a complex polynomial of large degree. |
キーワード(和) | |
キーワード(英) | Algebraic phase unwrapping / Spline smoothing / Piecewise polynomial / Cubic spline |
資料番号 | CAS2012-1,VLD2012-11,SIP2012-33,MSS2012-1 |
発行日 |
研究会情報 | |
研究会 | CAS |
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開催期間 | 2012/6/25(から1日開催) |
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委員長氏名(和) | |
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幹事補佐氏名(和) | |
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講演論文情報詳細 | |
申込み研究会 | Circuits and Systems (CAS) |
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本文の言語 | ENG |
タイトル(和) | |
サブタイトル(和) | |
タイトル(英) | A Robust Algebraic Phase Unwrapping Based on Spline Approximation |
サブタイトル(和) | |
キーワード(1)(和/英) | / Algebraic phase unwrapping |
第 1 著者 氏名(和/英) | / Daichi KITAHARA |
第 1 著者 所属(和/英) | Department of Communications and Integrated Systems, Tokyo Institute of Technology |
発表年月日 | 2012-07-02 |
資料番号 | CAS2012-1,VLD2012-11,SIP2012-33,MSS2012-1 |
巻番号(vol) | vol.112 |
号番号(no) | 113 |
ページ範囲 | pp.- |
ページ数 | 6 |
発行日 |