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| Title: | Simulation models with correct statistical properties for Rayleigh fading channels | |
| Author (s): | Zheng, Y. Rosa Xiao, Chengshan | |
| Department/Lab Affiliations: | Electrical and Computer Engineering Wireless Communications Lab | |
| Keywords: | Rayleigh channels Rayleigh fading channels autocorrelations average fade duration conditional random Doppler frequency convergence cross correlations diversity combining scenarios fading waveforms fourth order statistics frequency selective fading channels higher order statistics level crossing rate mobile radio multiple-input multiple-output channels probability density functions quadrature components random initial phase random path gain simulation models squared fading envelope statistical properties sum-of-sinusoids statistical simulation models | |
| Issue Date: | 2003 | |
| Publisher: | Institute of Electrical and Electronics Engineers | |
| Citation: | Yahong Rosa Zheng; Chengshan Xiao, "Simulation models with correct statistical properties for Rayleigh fading channels," IEEE Transactions on Communications, vol.51, no.6 pp. 920- 928, June 2003 | |
| Abstract: | In this paper, new sum-of-sinusoids statistical simulation models are proposed for Rayleigh fading channels. These new models employ random path gain, random initial phase, and conditional random Doppler frequency for all individual sinusoids. It is shown that the autocorrelations and cross correlations of the quadrature components, and the autocorrelation of the complex envelope of the new simulators match the desired ones exactly, even if the number of sinusoids is as small as a single-digit integer. Moreover, the probability density functions of the envelope and phase, the level crossing rate, the average fade duration, and the autocorrelation of the squared fading envelope which contains fourth-order statistics of the new simulators, asymptotically approach the correct ones as the number of sinusoids approaches infinity, while good convergence is achieved even when the number of sinusoids is as small as eight. The new simulators can be directly used to generate multiple uncorrelated fading waveforms for frequency selective fading channels, multiple-input multiple-output channels, and diversity combining scenarios. Statistical properties of one of the new simulators are evaluated by numerical results, finding good agreements. | |
| Type: | Article - Journal text | |
| Copyright Notice: | This material is presented to ensure timely dissemination of scholarly and technical work. Copyright and all rights therein are retained by authors or by other copyright holders. All persons copying this information are expected to adhere to the terms and constraints invoked by each author's copyright. In most cases, these works may not be reposted without the explicit permission of the copyright holder. FULL COPYRIGHT INFORMATION: | |
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| title | Simulation models with correct statistical properties for Rayleigh fading channels | |
| contributor.author | Zheng, Y. Rosa | |
| contributor.author | Xiao, Chengshan | |
| contributor.deptlab | Electrical and Computer Engineering | |
| contributor.deptlab | Wireless Communications Lab | |
| subject | Rayleigh channels | |
| subject | Rayleigh fading channels | |
| subject | autocorrelations | |
| subject | average fade duration | |
| subject | conditional random Doppler frequency | |
| subject | convergence | |
| subject | cross correlations | |
| subject | diversity combining scenarios | |
| subject | fading waveforms | |
| subject | fourth order statistics | |
| subject | frequency selective fading channels | |
| subject | higher order statistics | |
| subject | level crossing rate | |
| subject | mobile radio | |
| subject | multiple-input multiple-output channels | |
| subject | probability density functions | |
| subject | quadrature components | |
| subject | random initial phase | |
| subject | random path gain | |
| subject | simulation models | |
| subject | squared fading envelope | |
| subject | statistical properties | |
| subject | sum-of-sinusoids statistical simulation models | |
| date.issued | 2003 | |
| date.submitted | 2007 | |
| publisher | Institute of Electrical and Electronics Engineers | |
| identifier.citation | Yahong Rosa Zheng; Chengshan Xiao, "Simulation models with correct statistical properties for Rayleigh fading channels," IEEE Transactions on Communications, vol.51, no.6 pp. 920- 928, June 2003 | |
| identifier.issn | 0090-6778 | |
| identifier.pub.URI | ||
| description.abstract | In this paper, new sum-of-sinusoids statistical simulation models are proposed for Rayleigh fading channels. These new models employ random path gain, random initial phase, and conditional random Doppler frequency for all individual sinusoids. It is shown that the autocorrelations and cross correlations of the quadrature components, and the autocorrelation of the complex envelope of the new simulators match the desired ones exactly, even if the number of sinusoids is as small as a single-digit integer. Moreover, the probability density functions of the envelope and phase, the level crossing rate, the average fade duration, and the autocorrelation of the squared fading envelope which contains fourth-order statistics of the new simulators, asymptotically approach the correct ones as the number of sinusoids approaches infinity, while good convergence is achieved even when the number of sinusoids is as small as eight. The new simulators can be directly used to generate multiple uncorrelated fading waveforms for frequency selective fading channels, multiple-input multiple-output channels, and diversity combining scenarios. Statistical properties of one of the new simulators are evaluated by numerical results, finding good agreements. | |
| type | Article - Journal | |
| type.DCMIType | text | |
| type.status | Final version | |
| rights | This material is presented to ensure timely dissemination of scholarly and technical work. Copyright and all rights therein are retained by authors or by other copyright holders. All persons copying this information are expected to adhere to the terms and constraints invoked by each author's copyright. In most cases, these works may not be reposted without the explicit permission of the copyright holder. | |
| rights.URI | ||
| date.accessioned | 2007-04-05T14:16:51Z | |
| date.available | 2007-04-05T14:16:50Z | |
| identifier.persist.URI | ||
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