A fourier based method for approximating the joint detection probability in MIMO communications
We propose a numerically efficient technique to approximate the joint detection probability of a coherent multiple input multiple output (MIMO) receiver in the presence of inter-symbol interference (ISI) and additive white Gaussian noise (AWGN). This technique approximates the probability of detecti...
| Main Authors: | , , |
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| Format: | Journal Article |
| Published: |
IEEE
2012
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| Online Access: | http://hdl.handle.net/20.500.11937/47045 |
| _version_ | 1848757727017304064 |
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| author | Day, Greg Nordholm, Sven Dam, Hai Huyen Heidi |
| author_facet | Day, Greg Nordholm, Sven Dam, Hai Huyen Heidi |
| author_sort | Day, Greg |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | We propose a numerically efficient technique to approximate the joint detection probability of a coherent multiple input multiple output (MIMO) receiver in the presence of inter-symbol interference (ISI) and additive white Gaussian noise (AWGN). This technique approximates the probability of detection by numerically integrating the product of the characteristic function (CF) of the received filtered signal with the Fourier transform of the multi-dimension decision region. Naturally, the accuracy of the approximation is dependent on the number of points in the numerical integration. The proposed method selects the number of points to integrate over by deriving bounds on the approximation error. As such, a reduction of up to 1/100th of the number points can be achieved when comparing with existing single input single output (SISO) techniques. Simulation results demonstrate that the proposed method is highly accurate with the calculated errors being well within the bounded approximation error. In addition, the results are closely matched with those obtained using the Monte Carlo simulations with a typical error less than 10-4 while requiring only a fraction of the computation time. |
| first_indexed | 2025-11-14T09:32:41Z |
| format | Journal Article |
| id | curtin-20.500.11937-47045 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T09:32:41Z |
| publishDate | 2012 |
| publisher | IEEE |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-470452017-09-13T14:28:07Z A fourier based method for approximating the joint detection probability in MIMO communications Day, Greg Nordholm, Sven Dam, Hai Huyen Heidi We propose a numerically efficient technique to approximate the joint detection probability of a coherent multiple input multiple output (MIMO) receiver in the presence of inter-symbol interference (ISI) and additive white Gaussian noise (AWGN). This technique approximates the probability of detection by numerically integrating the product of the characteristic function (CF) of the received filtered signal with the Fourier transform of the multi-dimension decision region. Naturally, the accuracy of the approximation is dependent on the number of points in the numerical integration. The proposed method selects the number of points to integrate over by deriving bounds on the approximation error. As such, a reduction of up to 1/100th of the number points can be achieved when comparing with existing single input single output (SISO) techniques. Simulation results demonstrate that the proposed method is highly accurate with the calculated errors being well within the bounded approximation error. In addition, the results are closely matched with those obtained using the Monte Carlo simulations with a typical error less than 10-4 while requiring only a fraction of the computation time. 2012 Journal Article http://hdl.handle.net/20.500.11937/47045 10.1109/TCOMM.2012.040212.100767 IEEE restricted |
| spellingShingle | Day, Greg Nordholm, Sven Dam, Hai Huyen Heidi A fourier based method for approximating the joint detection probability in MIMO communications |
| title | A fourier based method for approximating the joint detection probability in MIMO communications |
| title_full | A fourier based method for approximating the joint detection probability in MIMO communications |
| title_fullStr | A fourier based method for approximating the joint detection probability in MIMO communications |
| title_full_unstemmed | A fourier based method for approximating the joint detection probability in MIMO communications |
| title_short | A fourier based method for approximating the joint detection probability in MIMO communications |
| title_sort | fourier based method for approximating the joint detection probability in mimo communications |
| url | http://hdl.handle.net/20.500.11937/47045 |