{"title":"非线性Schrödinger通道容量的上界","authors":"Mansoor I. Yousefi, G. Kramer, F. Kschischang","doi":"10.1109/CWIT.2015.7255144","DOIUrl":null,"url":null,"abstract":"It is shown that the capacity of the channel modeled by (a discretized version of) the stochastic nonlinear Schrödinger (NLS) equation is upper-bounded by log(l + SNR) with SNR = P<sub>0</sub>/σ<sup>2</sup>(z), where P<sub>0</sub> is the average input signal power and σ<sup>2</sup>(z) is the total noise power up to distance z. The result is a consequence of the fact that the deterministic NLS equation is a Hamiltonian energy-preserving dynamical system.","PeriodicalId":426245,"journal":{"name":"2015 IEEE 14th Canadian Workshop on Information Theory (CWIT)","volume":"43 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2015-02-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"30","resultStr":"{\"title\":\"Upper bound on the capacity of the nonlinear Schrödinger channel\",\"authors\":\"Mansoor I. Yousefi, G. Kramer, F. Kschischang\",\"doi\":\"10.1109/CWIT.2015.7255144\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"It is shown that the capacity of the channel modeled by (a discretized version of) the stochastic nonlinear Schrödinger (NLS) equation is upper-bounded by log(l + SNR) with SNR = P<sub>0</sub>/σ<sup>2</sup>(z), where P<sub>0</sub> is the average input signal power and σ<sup>2</sup>(z) is the total noise power up to distance z. The result is a consequence of the fact that the deterministic NLS equation is a Hamiltonian energy-preserving dynamical system.\",\"PeriodicalId\":426245,\"journal\":{\"name\":\"2015 IEEE 14th Canadian Workshop on Information Theory (CWIT)\",\"volume\":\"43 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2015-02-23\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"30\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2015 IEEE 14th Canadian Workshop on Information Theory (CWIT)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/CWIT.2015.7255144\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2015 IEEE 14th Canadian Workshop on Information Theory (CWIT)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/CWIT.2015.7255144","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Upper bound on the capacity of the nonlinear Schrödinger channel
It is shown that the capacity of the channel modeled by (a discretized version of) the stochastic nonlinear Schrödinger (NLS) equation is upper-bounded by log(l + SNR) with SNR = P0/σ2(z), where P0 is the average input signal power and σ2(z) is the total noise power up to distance z. The result is a consequence of the fact that the deterministic NLS equation is a Hamiltonian energy-preserving dynamical system.