RECORD
Time Reversal Communication in Multi-Path Fading Channels with Pinholes
Quantum Physics · Submitted 18 Sep 2005
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim The energy efficiency is shown to be optimal when the power supply is set to the noise level times $BN_{\rm eff}$ and that the maximal information rate is roughly $BN_{\rm eff}$ when the stability condition is violated.
The compiled record
The paper's own sentences, arranged. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.
Open the compiled record
The abstract, sentence by sentence
The paper presents an analysis of the time reversal in multi-path Rayleigh-fading channels with $N$ inputs (transmitters) and $M$ outputs (receivers). The main issues addressed are the condition of statistical stability, the rate of information transfer and the effect of pinholes. The stability condition is proved to be $MC\ll N_{\rm eff}B$ for broadband channels and $M\ll N_{\rm eff}$ for narrowband channels where $C$ is the symbol rate, $B$ is the bandwidth and $N_{\rm eff}$ is the {\em effective} number of transmitters. It is shown that when the number of layers, $n-1$, is relatively low compared to the logarithm of numbers of pinholes $N_{\rm eff}$ is given by $n^{-1}$ times the harmonic mean of the number of transmitters and the numbers of pinholes at all layers. On the other hand, when the number of layers is relatively large the effective number of pinholes diminishes exponentially. The energy efficiency is shown to be optimal when the power supply is set to the noise level times $BN_{\rm eff}$ and that the maximal information rate is roughly $BN_{\rm eff}$ when the stability condition is violated.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | The paper presents an analysis of the time reversal in multi-path Rayleigh-fading channels with $N$ inputs (transmitters) and $M$ outputs (receivers). | contribution 0.99 | 0.85 | 0.04 | asserted 0.99 |
| s1 | The main issues addressed are the condition of statistical stability, the rate of information transfer and the effect of pinholes. | contribution 0.79 | 0.71 | 0.07 | asserted 0.89 |
| s2 | The stability condition is proved to be $MC\ll N_{\rm eff}B$ for broadband channels and $M\ll N_{\rm eff}$ for narrowband channels where $C$ is the symbol rate, $B$ is the bandwidth and $N_{\rm eff}$ is the {\em effective} number of transmitters. | result 1.00 | 0.90 | 0.26 | asserted 1.00 |
| s3 | It is shown that when the number of layers, $n-1$, is relatively low compared to the logarithm of numbers of pinholes $N_{\rm eff}$ is given by $n^{-1}$ times the harmonic mean of the number of transmitters and the numbers of pinholes at all layers. | result 1.00 | 0.86 | 0.09 | asserted 1.00 |
| s4 | On the other hand, when the number of layers is relatively large the effective number of pinholes diminishes exponentially. | result 1.00 | 0.86 | 0.10 | asserted 1.00 |
| s5 | The energy efficiency is shown to be optimal when the power supply is set to the noise level times $BN_{\rm eff}$ and that the maximal information rate is roughly $BN_{\rm eff}$ when the stability condition is violated. | result 1.00 | 0.90 | 0.24 | asserted 1.00 |
What was examined, and what was not
- arXiv listing abstract v1
- full text
- figures and tables
- references and citing sentences
- relations to other papers
- P abstract
- S sections
- T body sentences
- C citations
- R cross-paper relations
The paper
Original abstract
The paper presents an analysis of the time reversal in multi-path Rayleigh-fading channels with $N$ inputs (transmitters) and $M$ outputs (receivers). The main issues addressed are the condition of statistical stability, the rate of information transfer and the effect of pinholes. The stability condition is proved to be $MC\ll N_{\rm eff}B$ for broadband channels and $M\ll N_{\rm eff}$ for narrowband channels where $C$ is the symbol rate, $B$ is the bandwidth and $N_{\rm eff}$ is the {\em effective} number of transmitters. It is shown that when the number of layers, $n-1$, is relatively low compared to the logarithm of numbers of pinholes $N_{\rm eff}$ is given by $n^{-1}$ times the harmonic mean of the number of transmitters and the numbers of pinholes at all layers. On the other hand, when the number of layers is relatively large the effective number of pinholes diminishes exponentially. The energy efficiency is shown to be optimal when the power supply is set to the noise level times $BN_{\rm eff}$ and that the maximal information rate is roughly $BN_{\rm eff}$ when the stability condition is violated.
Human review
Discussion
Know something about this paper? Leave a comment, or highlight any passage above to comment on it.