Closed-form Exact and Asymptotic Expressions for the Symbol Error Rate and Channel Capacity of the H-function Fading Channel
In this paper, we derive closed-form exact and asymptotic expressions for the symbol error rate (SER) as well as channel capacity when communicating over the Fox's H-function fading channel. The SER expressions are obtained for numerous practically-employed modulation schemes in case of single...
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2016
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| Online Access: | http://hdl.handle.net/11073/8672 |
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| _version_ | 1864513440294371328 |
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| author | Alhennawi, Husam R. |
| author2 | El Ayadi, Moataz M. H. Ismail, Mahmoud H. Mourad, Hebat-Allah M. |
| author2_role | author author author |
| author_facet | Alhennawi, Husam R. El Ayadi, Moataz M. H. Ismail, Mahmoud H. Mourad, Hebat-Allah M. |
| author_role | author |
| dc.creator.none.fl_str_mv | Alhennawi, Husam R. El Ayadi, Moataz M. H. Ismail, Mahmoud H. Mourad, Hebat-Allah M. |
| dc.date.none.fl_str_mv | 2016-11-30T10:10:16Z 2016-11-30T10:10:16Z 2016-04 |
| dc.format.none.fl_str_mv | application/pdf |
| dc.identifier.none.fl_str_mv | Alhennawi, Husam, Moataz M. H. Elayadi, Mahmoud H. Ismail, and Hebat-Allah M. Mourad. "Closed-form Exact and Asymptotic Expressions for the Symbol Error Rate and Channel Capacity of the H-function Fading Channel." IEEE Transactions on Vehicular Technology 65, no. 4 (2016): 1957-1974. 0018-9545 http://hdl.handle.net/11073/8672 10.1109/TVT.2015.2424591 |
| dc.language.none.fl_str_mv | en_US |
| dc.publisher.none.fl_str_mv | IEEE Vehicular Technology Society |
| dc.relation.none.fl_str_mv | http://dx.doi.org/10.1109/TVT.2015.2424591 |
| dc.subject.none.fl_str_mv | Symbol error rate Fox's H-distribution asymptotic analysis diversity systems channel capacity |
| dc.title.none.fl_str_mv | Closed-form Exact and Asymptotic Expressions for the Symbol Error Rate and Channel Capacity of the H-function Fading Channel |
| dc.type.none.fl_str_mv | Preprint Peer-Reviewed info:eu-repo/semantics/publishedVersion info:eu-repo/semantics/article |
| description | In this paper, we derive closed-form exact and asymptotic expressions for the symbol error rate (SER) as well as channel capacity when communicating over the Fox's H-function fading channel. The SER expressions are obtained for numerous practically-employed modulation schemes in case of single as well as three multiple-branch diversity receivers: maximal ratio combining (MRC), equal gain combining (EGC), and selection combining (SC). The derived exact expressions are given in terms of the univariate and multivariate Fox H functions for which we provide a portable and efficient Python code. Since the Fox's H-function fading channel represents the most generalized fading model ever presented in the literature, the derived expressions subsume most of those previously presented for all the known simple and composite fading models. Moreover, easy-to-compute asymptotic expansions are provided so as to easily study the behavior of the SER and channel capacity at high values of the average signal-to-noise (SNR). The asymptotic expansions are also useful in comparing different modulation schemes and receiver diversity combiners. Numerical and simulation results are also provided to support the mathematical analysis and prove the validity of the obtained expressions. |
| format | article |
| id | aus_eb48e02a9542fdd4654733d6cf400700 |
| identifier_str_mv | Alhennawi, Husam, Moataz M. H. Elayadi, Mahmoud H. Ismail, and Hebat-Allah M. Mourad. "Closed-form Exact and Asymptotic Expressions for the Symbol Error Rate and Channel Capacity of the H-function Fading Channel." IEEE Transactions on Vehicular Technology 65, no. 4 (2016): 1957-1974. 0018-9545 10.1109/TVT.2015.2424591 |
| language_invalid_str_mv | en_US |
| network_acronym_str | aus |
| network_name_str | aus |
| oai_identifier_str | oai:repository.aus.edu:11073/8672 |
| publishDate | 2016 |
| publisher.none.fl_str_mv | IEEE Vehicular Technology Society |
| repository.mail.fl_str_mv | |
| repository.name.fl_str_mv | |
| repository_id_str | |
| spelling | Closed-form Exact and Asymptotic Expressions for the Symbol Error Rate and Channel Capacity of the H-function Fading ChannelAlhennawi, Husam R.El Ayadi, Moataz M. H.Ismail, Mahmoud H.Mourad, Hebat-Allah M.Symbol error rateFox's H-distributionasymptotic analysisdiversity systemschannel capacityIn this paper, we derive closed-form exact and asymptotic expressions for the symbol error rate (SER) as well as channel capacity when communicating over the Fox's H-function fading channel. The SER expressions are obtained for numerous practically-employed modulation schemes in case of single as well as three multiple-branch diversity receivers: maximal ratio combining (MRC), equal gain combining (EGC), and selection combining (SC). The derived exact expressions are given in terms of the univariate and multivariate Fox H functions for which we provide a portable and efficient Python code. Since the Fox's H-function fading channel represents the most generalized fading model ever presented in the literature, the derived expressions subsume most of those previously presented for all the known simple and composite fading models. Moreover, easy-to-compute asymptotic expansions are provided so as to easily study the behavior of the SER and channel capacity at high values of the average signal-to-noise (SNR). The asymptotic expansions are also useful in comparing different modulation schemes and receiver diversity combiners. Numerical and simulation results are also provided to support the mathematical analysis and prove the validity of the obtained expressions.IEEE Vehicular Technology Society2016-11-30T10:10:16Z2016-11-30T10:10:16Z2016-04PreprintPeer-Reviewedinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfAlhennawi, Husam, Moataz M. H. Elayadi, Mahmoud H. Ismail, and Hebat-Allah M. Mourad. "Closed-form Exact and Asymptotic Expressions for the Symbol Error Rate and Channel Capacity of the H-function Fading Channel." IEEE Transactions on Vehicular Technology 65, no. 4 (2016): 1957-1974.0018-9545http://hdl.handle.net/11073/867210.1109/TVT.2015.2424591en_UShttp://dx.doi.org/10.1109/TVT.2015.2424591oai:repository.aus.edu:11073/86722024-08-22T12:08:10Z |
| spellingShingle | Closed-form Exact and Asymptotic Expressions for the Symbol Error Rate and Channel Capacity of the H-function Fading Channel Alhennawi, Husam R. Symbol error rate Fox's H-distribution asymptotic analysis diversity systems channel capacity |
| status_str | publishedVersion |
| title | Closed-form Exact and Asymptotic Expressions for the Symbol Error Rate and Channel Capacity of the H-function Fading Channel |
| title_full | Closed-form Exact and Asymptotic Expressions for the Symbol Error Rate and Channel Capacity of the H-function Fading Channel |
| title_fullStr | Closed-form Exact and Asymptotic Expressions for the Symbol Error Rate and Channel Capacity of the H-function Fading Channel |
| title_full_unstemmed | Closed-form Exact and Asymptotic Expressions for the Symbol Error Rate and Channel Capacity of the H-function Fading Channel |
| title_short | Closed-form Exact and Asymptotic Expressions for the Symbol Error Rate and Channel Capacity of the H-function Fading Channel |
| title_sort | Closed-form Exact and Asymptotic Expressions for the Symbol Error Rate and Channel Capacity of the H-function Fading Channel |
| topic | Symbol error rate Fox's H-distribution asymptotic analysis diversity systems channel capacity |
| url | http://hdl.handle.net/11073/8672 |