講演名 | 2012-03-09 Mixed Trigonometric Interpolation Techniques for Fast and Stable Algebraic Phase Unwrapping , |
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抄録(和) | |
抄録(英) | The algebraic phase unwrapping was established in 1998 as a rigorous symbolic algebraic solution to the phase unwrapping problem, i.e., the problem of computing the continuous phase function of a given complex polynomial. In this paper, we propose a simple but a powerful numerical stabilization technique named the mixed trigonometric interpolation for the algebraic phase unwrapping. This technique is based on replacing a certain set of arithmetic operations in polynomial ring by an interpolation of a certain mixed trigonometric function. By this technique we can obtain numerical stable approximation of general Sturm sequence without suffering the coefficient growth. Moreover, by combining the mixed trigonometric interpolation with FFT, we succeeded in making the mixed trigonometric interpolation faster and more stable. The proposed techniques allow us to solve phase unwrapping problem along the unit circle stably even if the degree of a given polynomial is very large. |
キーワード(和) | |
キーワード(英) | Algebraic phase unwrapping / Numerical stabilization / Coefficient growth / General Sturm sequence / Mixed trigonometric interpolation / FFT |
資料番号 | CAS2011-161,SIP2011-181,CS2011-153 |
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研究会情報 | |
研究会 | CAS |
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開催期間 | 2012/3/1(から1日開催) |
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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) | Mixed Trigonometric Interpolation Techniques for Fast and Stable Algebraic Phase Unwrapping |
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 | 2012-03-09 |
資料番号 | CAS2011-161,SIP2011-181,CS2011-153 |
巻番号(vol) | vol.111 |
号番号(no) | 465 |
ページ範囲 | pp.- |
ページ数 | 5 |
発行日 |