Scholars' Mine
Missouri S&T
Research Repository
Curtis Laws Wilson Library
400 W. 14th Street
Rolla, MO 65409-0060
scholarsmine@mst.edu
| Title: | Statistical simulation models for Rayleigh and Rician fading | |
| Author (s): | Chengshan Xiao Zheng, Y. Rosa Beaulieu, N.C. | |
| Department/Lab Affiliations: | Electrical and Computer Engineering Wireless Communications Lab | |
| Keywords: | Clarks fading model Rayleigh channels Rayleigh fading channels Rician channels Rician fading channels line-of-sight mobile radio nonzero Doppler frequency nonzero mean deterministic specular component probability density function sinusoids finite number specular component, Rician fading simulators statistical analysis statistical simulation zero-mean stochastic sinusoid | |
| Issue Date: | 2003 | |
| Publisher: | Institute of Electrical and Electronics Engineers | |
| Citation: | Chengshan Xiao; Zheng, Y.R.; Beaulieu, N.C., "Statistical simulation models for Rayleigh and Rician fading" ICC '03. IEEE International Conference on Communications, 2003. pp. 3524- 3529 vol.5, 11-15 May 2003 | |
| Abstract: | New simulation models are proposed for Rayleigh and Rician fading channels. First, the statistical properties of Clarke's fading model with a finite number of sinusoids are analyzed. An improved Clarke''s model is then proposed for the simulation of Rayleigh fading channels. Based on this improved Rayleigh fading model, a novel simulation model is proposed for Rician fading channels. The new Rician fading model employs a zero-mean stochastic sinusoid as the specular (line-of-sight) component, in contrast to all existing Rician fading simulators that utilize a non-zero mean deterministic specular component. The statistical properties of the proposed Rician fading model are analyzed in detail. It is shown that the probability density function of the Rician fading phase is not only independent of time but also uniformly distributed over (-/spl pi/, /spl pi/). This property is different from that of existing Rician fading models. The statistical properties of the new simulators are confirmed by extensive simulation results, finding good agreement with theoretical analysis in all cases. An explicit formula for the level crossing rate is derived for general Rician fading when the specular component has non-zero Doppler frequency. | |
| 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: | |
| Publisher URL: | ||
| Link to this page: | ||
| Full Text: |
|
| title | Statistical simulation models for Rayleigh and Rician fading | |
| contributor.author | Chengshan Xiao | |
| contributor.author | Zheng, Y. Rosa | |
| contributor.author | Beaulieu, N.C. | |
| contributor.deptlab | Electrical and Computer Engineering | |
| contributor.deptlab | Wireless Communications Lab | |
| subject | Clarks fading model | |
| subject | Rayleigh channels | |
| subject | Rayleigh fading channels | |
| subject | Rician channels | |
| subject | Rician fading channels | |
| subject | line-of-sight | |
| subject | mobile radio | |
| subject | nonzero Doppler frequency | |
| subject | nonzero mean deterministic specular component | |
| subject | probability density function | |
| subject | sinusoids finite number | |
| subject | specular component, Rician fading simulators | |
| subject | statistical analysis | |
| subject | statistical simulation | |
| subject | zero-mean stochastic sinusoid | |
| date.issued | 2003 | |
| date.submitted | 2007 | |
| publisher | Institute of Electrical and Electronics Engineers | |
| identifier.citation | Chengshan Xiao; Zheng, Y.R.; Beaulieu, N.C., "Statistical simulation models for Rayleigh and Rician fading" ICC '03. IEEE International Conference on Communications, 2003. pp. 3524- 3529 vol.5, 11-15 May 2003 | |
| identifier.pub.URI | ||
| description.abstract | New simulation models are proposed for Rayleigh and Rician fading channels. First, the statistical properties of Clarke's fading model with a finite number of sinusoids are analyzed. An improved Clarke''s model is then proposed for the simulation of Rayleigh fading channels. Based on this improved Rayleigh fading model, a novel simulation model is proposed for Rician fading channels. The new Rician fading model employs a zero-mean stochastic sinusoid as the specular (line-of-sight) component, in contrast to all existing Rician fading simulators that utilize a non-zero mean deterministic specular component. The statistical properties of the proposed Rician fading model are analyzed in detail. It is shown that the probability density function of the Rician fading phase is not only independent of time but also uniformly distributed over (-/spl pi/, /spl pi/). This property is different from that of existing Rician fading models. The statistical properties of the new simulators are confirmed by extensive simulation results, finding good agreement with theoretical analysis in all cases. An explicit formula for the level crossing rate is derived for general Rician fading when the specular component has non-zero Doppler frequency. | |
| 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 | 2007-04-05T14:16:34Z | |
| date.available | 2007-04-05T14:16:33Z | |
| identifier.persist.URI | ||
| Full Text |
|