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| Presentation | 2012-03-09 15:15 Mixed Trigonometric Interpolation Techniques for Fast and Stable Algebraic Phase Unwrapping Daichi Kitahara, Isao Yamada (Tokyo Inst. of Tech.)  CAS2011-161 SIP2011-181 CS2011-153 |
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| Abstract | (in Japanese) | (See Japanese page) |
| (in English) | 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 {\it 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 {\it general Sturm sequence} without suffering the coefficient growth. Moreover, by combining {\it the mixed trigonometric interpolation} with FFT, we succeeded in making {\it 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. | |
| Keyword | (in Japanese) | (See Japanese page) |
| (in English) | Algebraic phase unwrapping / Numerical stabilization / Coefficient growth / General Sturm sequence / Mixed trigonometric interpolation / FFT / / | |
| Reference Info. | IEICE Tech. Rep., vol. 111, no. 466, SIP2011-181, pp. 303-307, March 2012. | |
| Paper # | SIP2011-181 | |
| Date of Issue | 2012-03-01 (CAS, SIP, CS) | |
| ISSN | Print edition: ISSN 0913-5685 Online edition: ISSN 2432-6380 | |
| Copyright and reproduction |
All rights are reserved and no part of this publication may be reproduced or transmitted in any form or by any means, electronic or mechanical, including photocopy, recording, or any information storage and retrieval system, without permission in writing from the publisher. Notwithstanding, instructors are permitted to photocopy isolated articles for noncommercial classroom use without fee. (License No.: 10GA0019/12GB0052/13GB0056/17GB0034/18GB0034) | |
| Download PDF | CAS2011-161 SIP2011-181 CS2011-153 |
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| Conference Information | |
| Committee | CAS CS SIP |
| Conference Date | 2012-03-08 - 2012-03-09 |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | The University of Niigata |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | Network Processor, Signal Processing for communication, and Wireless LAN/PAN, etc. |
| Paper Information | |
| Registration To | SIP |
| Conference Code | 2012-03-CAS-CS-SIP |
| Language | English |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Mixed Trigonometric Interpolation Techniques for Fast and Stable Algebraic Phase Unwrapping |
| Sub Title (in English) | |
| Keyword(1) | Algebraic phase unwrapping |
| Keyword(2) | Numerical stabilization |
| Keyword(3) | Coefficient growth |
| Keyword(4) | General Sturm sequence |
| Keyword(5) | Mixed trigonometric interpolation |
| Keyword(6) | FFT |
| Keyword(7) | |
| Keyword(8) | |
| 1st Author's Name | Daichi Kitahara |
| 1st Author's Affiliation | Tokyo Institute of Technology (Tokyo Inst. of Tech.) |
| 2nd Author's Name | Isao Yamada |
| 2nd Author's Affiliation | Tokyo Institute of Technology (Tokyo Inst. of Tech.) |
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| Speaker | Author-1 |
| Date Time | 2012-03-09 15:15:00 |
| Presentation Time | 25 minutes |
| Registration for | SIP |
| Paper # | CAS2011-161, SIP2011-181, CS2011-153 |
| Volume (vol) | vol.111 |
| Number (no) | no.465(CAS), no.466(SIP), no.467(CS) |
| Page | pp.303-307 |
| #Pages | 5 |
| Date of Issue | 2012-03-01 (CAS, SIP, CS) |
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