| Presentation | 2000/5/11 Algebraic Phase Unwrapping and Zero Distribution of Complex Polynomial for Continuous-Time Systems Isao Yamada, N.K.Bose N, |
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| PDF Download Page | PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | An analytic solution is provided to the phase unwrapping problem of a continuous-time linear time-invariant system whose characteristic polynomial has coefficients belonging to the algebraically closed field of characteristic zero. This solution is shown to lead to algorithms for finding the zero distribution of such a polynomial with respect to the unbounded imaginary axis in the complex plane. It is proved that such algorithms, though not always degree reducing in each step, are guaranteed to terminate in less than a known finite number of steps without the encountering of singular cases that are ubiquitous in the Euclidean division-based algorithms and their variants which have been extensively and exclusively documented for realizing the intended objectives by numerous researchers in the past. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | Algebraic phase unwrapping / Generlized Sturm sequence / Zero distribution / Continuous time system |
| Paper # | DSP2000-13 |
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| Committee | DSP |
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| Conference Date | 2000/5/11(1days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | |
| Topics (in Japanese) | (See Japanese page) |
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| Paper Information | |
| Registration To | Digital Signal Processing (DSP) |
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| Language | JPN |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Algebraic Phase Unwrapping and Zero Distribution of Complex Polynomial for Continuous-Time Systems |
| Sub Title (in English) | |
| Keyword(1) | Algebraic phase unwrapping |
| Keyword(2) | Generlized Sturm sequence |
| Keyword(3) | Zero distribution |
| Keyword(4) | Continuous time system |
| 1st Author's Name | Isao Yamada |
| 1st Author's Affiliation | Dept.of Communications and Integrated Systems, Tokyo Institute of Technology() |
| 2nd Author's Name | N.K.Bose N |
| 2nd Author's Affiliation | Dept.of Electrical Eng., The Pennsylvania State University |
| Date | 2000/5/11 |
| Paper # | DSP2000-13 |
| Volume (vol) | vol.100 |
| Number (no) | 50 |
| Page | pp.pp.- |
| #Pages | 7 |
| Date of Issue | |