A unique polar representation of the hyperanalytic signal
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Identification
| Title: | Main Title: A unique polar representation of the hyperanalytic signal |
| Description: | Abstract: The hyperanalytic signal is the straight forward generalization of the classical analytic signal. It is defined by a complexification of two canonical complex signals, which can be considered as an inverse operation of the Cayley-Dickson form of the quaternion. Inspired by the polar form of an analytic signal where the real instantaneous envelope and phase can be determined, this paper presents a novel method to generate a polar representation of the hyperanalytic signal, in which the continuously complex envelope and phase can be uniquely defined. Comparing to other existing methods, the proposed polar representation does not have sign ambiguity between the envelope and the phase, which makes the definition of the instantaneous complex frequency possible. |
| Identifier: | http://arxiv.org/abs/1403.0738 (URL) |
Responsible Party
| Creators: | Boqiang Huang (Author), Angela Kunoth (Author) |
| Publisher: | arXiv |
| Publication Year: | 2014 |
Topic
| TR32 Topic: | Other |
| Related Subproject: | C1 |
| Subjects: | Keyword: hyperanalytic signal GEMET Thesaurus entry: mathematical analysis |
File Details
| Filename: | Huang_2014_IEEE_ICASSP.pdf |
| Data Type: | Text - Event Paper |
| File Size: | 205 KB |
| Date: | Submitted: 04.03.2014 |
| Mime Type: | application/pdf |
| Data Format: | |
| Language: | English |
| Status: | Completed |
Constraints
| Download Permission: | Only Project Members |
| Download Information: | License information: http://arxiv.org/licenses/nonexclusive-distrib/1.0/ |
| General Access and Use Conditions: | For internal use in TR32 only. |
| Access Limitations: | For internal use in TR32 only. |
| Licence: | [TR32DB] Data policy agreement |
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Specific Information - Publication
| Publication Status: | Peer-Reviewed |
| Review Status: | Peer reviewed |
| Publication Type: | Event Paper |
| Number of Pages: | 5 (1 - 5) |
| Event: | 2014 IEEE International Conference on Acoustics, Speech, and Signal Processing (ICASSP) |
| Event Type: | Conference |
| Event Location: | Florence, Italy |
| Event Duration: | 4th of May, 2014 - 9th of May, 2014 |
| Event Website: | http://www.icassp2014.org/home.html |
Metadata Details
| Metadata Creator: | Angela Kunoth |
| Metadata Created: | 16.07.2014 |
| Metadata Last Updated: | 16.07.2014 |
| Subproject: | C1 |
| Funding Phase: | 2 |
| Metadata Language: | English |
| Metadata Version: | V50 |
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Dataset Statistics
| Page Visits: | 1002 |
| Metadata Downloads: | 0 |
| Dataset Downloads: | 1 |
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