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| Title: | A generalized simulation model for Rayleigh fading channels with accurate second-order statistics |
| Author (s): | Chengshan Xiao Zheng, Y. Rosa |
| Department/Lab Affiliations: | Electrical and Computer Engineering Wireless Communications Lab |
| Keywords: | Doppler effect Rayleigh channels Rayleigh fading channels autocorrelation average fade duration complex envelope conditional random Doppler frequency convergence correlation methods cross-correlation digital simulation fading envelope fading phase generalized simulation model land mobile radio level crossing rate mobile radio channels probability probability density functions quadrature components random initial phase random path gain second-order statistics simulator sinusoids statistical analysis sum-of-sinusoids statistical simulation model |
| Issue Date: | 2002 |
| Publisher: | Institute of Electrical and Electronics Engineers |
| Citation: | Chengshan Xiao; Zheng, Y.R., "A generalized simulation model for Rayleigh fading channels with accurate second-order statistics," IEEE 55th Vehicular Technology Conference, 2002. VTC Spring 2002., vol.1, no. pp. 170- 174 vol.1, 2002 |
| Abstract: | A new sum-of-sinusoids statistical simulation model is proposed for Rayleigh fading channels. The new model employs 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, the autocorrelation of the complex envelope of the new simulator match the desired ones exactly even if the number of sinusoids is as small as a single-digit integer Furthermore, the probability density functions of the fading envelope and phase, the level crossing rate and the average fade duration of the new simulator asymptotically approach the desired ones as the number of sinusoids approaches infinity, while good convergence is achieved when the number of sinusoids is small. Statistical properties of the new simulator are evaluated by numerical results, finding good agreement in all cases. |
| Type: | Article - Conference proceedings 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 | A generalized simulation model for Rayleigh fading channels with accurate second-order statistics |
| contributor.author | Chengshan Xiao |
| contributor.author | Zheng, Y. Rosa |
| contributor.deptlab | Electrical and Computer Engineering |
| contributor.deptlab | Wireless Communications Lab |
| subject | Doppler effect |
| subject | Rayleigh channels |
| subject | Rayleigh fading channels |
| subject | autocorrelation |
| subject | average fade duration |
| subject | complex envelope |
| subject | conditional random Doppler frequency |
| subject | convergence |
| subject | correlation methods |
| subject | cross-correlation |
| subject | digital simulation |
| subject | fading envelope |
| subject | fading phase |
| subject | generalized simulation model |
| subject | land mobile radio |
| subject | level crossing rate |
| subject | mobile radio channels |
| subject | probability |
| subject | probability density functions |
| subject | quadrature components |
| subject | random initial phase |
| subject | random path gain |
| subject | second-order statistics |
| subject | simulator |
| subject | sinusoids |
| subject | statistical analysis |
| subject | sum-of-sinusoids statistical simulation model |
| date.issued | 2002 |
| date.submitted | 2007 |
| publisher | Institute of Electrical and Electronics Engineers |
| identifier.citation | Chengshan Xiao; Zheng, Y.R., "A generalized simulation model for Rayleigh fading channels with accurate second-order statistics," IEEE 55th Vehicular Technology Conference, 2002. VTC Spring 2002., vol.1, no. pp. 170- 174 vol.1, 2002 |
| identifier.pub.URI | |
| description.abstract | A new sum-of-sinusoids statistical simulation model is proposed for Rayleigh fading channels. The new model employs 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, the autocorrelation of the complex envelope of the new simulator match the desired ones exactly even if the number of sinusoids is as small as a single-digit integer Furthermore, the probability density functions of the fading envelope and phase, the level crossing rate and the average fade duration of the new simulator asymptotically approach the desired ones as the number of sinusoids approaches infinity, while good convergence is achieved when the number of sinusoids is small. Statistical properties of the new simulator are evaluated by numerical results, finding good agreement in all cases. |
| type | Article - Conference proceedings |
| 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 | 2007-04-05T14:13:16Z |
| date.available | 2007-04-05T14:13:16Z |
| identifier.persist.URI |