dorsal/arxiv
View SchemaStrange Attractors in Multipath propagation: Detection and characterisation
| Authors | C. Tannous, R. Davies, A. Angus |
|---|---|
| Categories | |
| ArXiv ID | physics/0103048 |
| URL | https://arxiv.org/abs/physics/0103048 |
| Journal | Visual Information Processing, SPIE Proceedings, Vol. 1705 pages 11-21 |
Abstract
Multipath propagation of radio waves in indoor/outdoor environments shows a highly irregular behavior as a function of time. Typical modeling of this phenomenon assumes the received signal is a stochastic process composed of the superposition of various altered replicas of the transmitted one, their amplitudes and phases being drawn from specific probability densities. We set out to explore the hypothesis of the presence of deterministic chaos in signals propagating inside various buildings at the University of Calgary. The correlation dimension versus embedding dimension saturates to a value between 3 and 4 for various antenna polarizations. The full Liapunov spectrum calculated contains two positive exponents and yields through the Kaplan-Yorke conjecture the same dimension obtained from the correlation sum. The presence of strange attractors in multipath propagation hints to better ways to predict the behaviour of the signal and better methods to counter the effects of interference. The use of Neural Networks in non linear prediction will be illustrated in an example and potential applications of same will be highlighted.
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"abstract": "Multipath propagation of radio waves in indoor/outdoor environments shows a\nhighly irregular behavior as a function of time. Typical modeling of this\nphenomenon assumes the received signal is a stochastic process composed of the\nsuperposition of various altered replicas of the transmitted one, their\namplitudes and phases being drawn from specific probability densities. We set\nout to explore the hypothesis of the presence of deterministic chaos in signals\npropagating inside various buildings at the University of Calgary. The\ncorrelation dimension versus embedding dimension saturates to a value between 3\nand 4 for various antenna polarizations. The full Liapunov spectrum calculated\ncontains two positive exponents and yields through the Kaplan-Yorke conjecture\nthe same dimension obtained from the correlation sum. The presence of strange\nattractors in multipath propagation hints to better ways to predict the\nbehaviour of the signal and better methods to counter the effects of\ninterference. The use of Neural Networks in non linear prediction will be\nillustrated in an example and potential applications of same will be\nhighlighted.",
"arxiv_id": "physics/0103048",
"authors": [
"C. Tannous",
"R. Davies",
"A. Angus"
],
"categories": [
"physics.data-an",
"nlin.CD",
"physics.gen-ph"
],
"journal_ref": "Visual Information Processing, SPIE Proceedings, Vol. 1705 pages\n 11-21",
"title": "Strange Attractors in Multipath propagation: Detection and characterisation",
"url": "https://arxiv.org/abs/physics/0103048"
},
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