Jitter-Robust Orthogonal Hermite Pulses for Ultra-Wideband Impulse Radio Communications
The design of a class of jitter-robust, Hermite polynomial-based, orthogonal pulses for ultra-wideband impulse radio (UWB-IR) communications systems is presented. A unified and exact closed-form expression of the auto- and cross-correlation functions of Hermite pulses is provided. Under the assumpti...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2005-03-01
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| Series: | EURASIP Journal on Advances in Signal Processing |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/ASP.2005.369 |
| _version_ | 1819212943212937216 |
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| author | Ryuji Kohno Craig John Mitchel Giuseppe Thadeu Freitas de Abreu |
| author_facet | Ryuji Kohno Craig John Mitchel Giuseppe Thadeu Freitas de Abreu |
| author_sort | Ryuji Kohno |
| collection | DOAJ |
| description | The design of a class of jitter-robust, Hermite polynomial-based, orthogonal pulses for ultra-wideband impulse radio (UWB-IR) communications systems is presented. A unified and exact closed-form expression of the auto- and cross-correlation functions of Hermite pulses is provided. Under the assumption that jitter values are sufficiently smaller than pulse widths, this formula is used to decompose jitter-shifted pulses over an orthonormal basis of the Hermite space. For any given jitter probability density function (pdf), the decomposition yields an equivalent distribution of N-by-N matrices which simplifies the convolutional jitter channel model onto a multiplicative matrix model. The design of jitter-robust orthogonal pulses is then transformed into a generalized eigendecomposition problem whose solution is obtained with a Jacobi-like simultaneous diagonalization algorithm applied over a subset of samples of the channel matrix distribution. Examples of the waveforms obtained with the proposed design and their improved auto- and cross-correlation functions are given. Simulation results are presented, which demonstrate the superior performance of a pulse-shape modulated (PSM-) UWB-IR system using the proposed pulses, over the same system using conventional orthogonal Hermite pulses, in jitter channels with additive white Gaussian noise (AWGN). |
| first_indexed | 2024-12-23T06:50:59Z |
| format | Article |
| id | doaj.art-0b5ff76ee6c042b49d8333fd3f77c63b |
| institution | Directory Open Access Journal |
| issn | 1687-6172 1687-6180 |
| language | English |
| last_indexed | 2024-12-23T06:50:59Z |
| publishDate | 2005-03-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | EURASIP Journal on Advances in Signal Processing |
| spelling | doaj.art-0b5ff76ee6c042b49d8333fd3f77c63b2022-12-21T17:56:25ZengSpringerOpenEURASIP Journal on Advances in Signal Processing1687-61721687-61802005-03-012005336938110.1155/ASP.2005.369Jitter-Robust Orthogonal Hermite Pulses for Ultra-Wideband Impulse Radio CommunicationsRyuji KohnoCraig John MitchelGiuseppe Thadeu Freitas de AbreuThe design of a class of jitter-robust, Hermite polynomial-based, orthogonal pulses for ultra-wideband impulse radio (UWB-IR) communications systems is presented. A unified and exact closed-form expression of the auto- and cross-correlation functions of Hermite pulses is provided. Under the assumption that jitter values are sufficiently smaller than pulse widths, this formula is used to decompose jitter-shifted pulses over an orthonormal basis of the Hermite space. For any given jitter probability density function (pdf), the decomposition yields an equivalent distribution of N-by-N matrices which simplifies the convolutional jitter channel model onto a multiplicative matrix model. The design of jitter-robust orthogonal pulses is then transformed into a generalized eigendecomposition problem whose solution is obtained with a Jacobi-like simultaneous diagonalization algorithm applied over a subset of samples of the channel matrix distribution. Examples of the waveforms obtained with the proposed design and their improved auto- and cross-correlation functions are given. Simulation results are presented, which demonstrate the superior performance of a pulse-shape modulated (PSM-) UWB-IR system using the proposed pulses, over the same system using conventional orthogonal Hermite pulses, in jitter channels with additive white Gaussian noise (AWGN).http://dx.doi.org/10.1155/ASP.2005.369ultra-wideband communicationsimpulse radioHermite pulsesorthogonal designjitter robustnesspulse-shape modulation. |
| spellingShingle | Ryuji Kohno Craig John Mitchel Giuseppe Thadeu Freitas de Abreu Jitter-Robust Orthogonal Hermite Pulses for Ultra-Wideband Impulse Radio Communications EURASIP Journal on Advances in Signal Processing ultra-wideband communications impulse radio Hermite pulses orthogonal design jitter robustness pulse-shape modulation. |
| title | Jitter-Robust Orthogonal Hermite Pulses for Ultra-Wideband Impulse Radio Communications |
| title_full | Jitter-Robust Orthogonal Hermite Pulses for Ultra-Wideband Impulse Radio Communications |
| title_fullStr | Jitter-Robust Orthogonal Hermite Pulses for Ultra-Wideband Impulse Radio Communications |
| title_full_unstemmed | Jitter-Robust Orthogonal Hermite Pulses for Ultra-Wideband Impulse Radio Communications |
| title_short | Jitter-Robust Orthogonal Hermite Pulses for Ultra-Wideband Impulse Radio Communications |
| title_sort | jitter robust orthogonal hermite pulses for ultra wideband impulse radio communications |
| topic | ultra-wideband communications impulse radio Hermite pulses orthogonal design jitter robustness pulse-shape modulation. |
| url | http://dx.doi.org/10.1155/ASP.2005.369 |
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