Partially Coherent Constellation Design and Bit-Mapping with Coding for Correlated Fading Channels
The space-time (ST) constellation design problem and the related bit mapping schemes for multiple-input multipleoutput (MIMO) systems in spatially correlated Rayleigh fading channels with imperfect channel estimation at the receiver are considered. We assume that the channel estimation error covaria...
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| Published in | IEEE transactions on communications Vol. 61; no. 10; pp. 4243 - 4255 |
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| Main Authors | , , |
| Format | Journal Article |
| Language | English |
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New York, NY
IEEE
01.10.2013
Institute of Electrical and Electronics Engineers |
| Subjects | |
| Online Access | Get full text |
| ISSN | 0090-6778 |
| DOI | 10.1109/TCOMM.2013.13.120273 |
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| Abstract | The space-time (ST) constellation design problem and the related bit mapping schemes for multiple-input multipleoutput (MIMO) systems in spatially correlated Rayleigh fading channels with imperfect channel estimation at the receiver are considered. We assume that the channel estimation error covariance matrix, as well as transmit and receive correlation matrices are perfectly known both at the transmitter and at the receiver. We derive the cutoff rate (CR) and an upper bound (UB) on the average bit error probability (ABEP) expression for spatially correlated channels and propose them as the constellation design criteria subject to a given average transmit power constraint. Additionally, to use the resulting constellations together with forward error correction (FEC) codes requires efficient bit mapping schemes. Because these constellations lack geometrical symmetry in general, the Gray mapping is not always possible in the majority of the constellations obtained. Moreover, different mapping schemes may lead to highly different bit error rate (BER) performances. Thus, an efficient bit mapping scheme called the modified binary switching algorithm (MBSA) is proposed. It minimizes an upper bound on the ABEP (UB-ABEP) and is used to find the bit mapping schemes. Numerical examples show that the designed constellation and its optimized bit mapping together with turbo codes outperform the conventional constellations with respect to the frame error rate (FER). |
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| AbstractList | The space-time (ST) constellation design problem and the related bit mapping schemes for multiple-input multipleoutput (MIMO) systems in spatially correlated Rayleigh fading channels with imperfect channel estimation at the receiver are considered. We assume that the channel estimation error covariance matrix, as well as transmit and receive correlation matrices are perfectly known both at the transmitter and at the receiver. We derive the cutoff rate (CR) and an upper bound (UB) on the average bit error probability (ABEP) expression for spatially correlated channels and propose them as the constellation design criteria subject to a given average transmit power constraint. Additionally, to use the resulting constellations together with forward error correction (FEC) codes requires efficient bit mapping schemes. Because these constellations lack geometrical symmetry in general, the Gray mapping is not always possible in the majority of the constellations obtained. Moreover, different mapping schemes may lead to highly different bit error rate (BER) performances. Thus, an efficient bit mapping scheme called the modified binary switching algorithm (MBSA) is proposed. It minimizes an upper bound on the ABEP (UB-ABEP) and is used to find the bit mapping schemes. Numerical examples show that the designed constellation and its optimized bit mapping together with turbo codes outperform the conventional constellations with respect to the frame error rate (FER). |
| Author | Yadav, Animesh Juntti, Markku Lilleberg, Jorma |
| Author_xml | – sequence: 1 givenname: Animesh surname: Yadav fullname: Yadav, Animesh email: animesh.yadav@ee.oulu.fi organization: Dept. of Commun. Eng., Univ. of Oulu, Oulu, Finland – sequence: 2 givenname: Markku surname: Juntti fullname: Juntti, Markku email: markku.juntti@ee.oulu.fi organization: Dept. of Commun. Eng., Univ. of Oulu, Oulu, Finland – sequence: 3 givenname: Jorma surname: Lilleberg fullname: Lilleberg, Jorma email: jorma.lilleberg@renesasmobile.com organization: Dept. of Electr. & Comput. Eng., Rice Univ., Houston, TX, USA |
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| Keywords | Performance evaluation FEC codes Parameter estimation bit mapping Bit error rate Spatial correlation Transmitter Mapping binary switching algorithm Optimization Coding Channel estimation Fading channels MIMO system Estimation error Constellation design partial CSI Correlation matrix Rayleigh channels spatial correlated channels Space time Frame rate Covariance matrix Algorithm Switching Upper bound Forward error correction Numerical simulation Error correcting code |
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| SubjectTerms | Algorithm design and analysis Applied sciences binary switching algorithm bit mapping Coding, codes Constellation design Constellation diagram Correlation Covariance matrices Detection, estimation, filtering, equalization, prediction Exact sciences and technology FEC codes Information, signal and communications theory Optimization partial CSI Radiocommunications Receivers Signal and communications theory Signal, noise spatial correlated channels Systems, networks and services of telecommunications Telecommunications Telecommunications and information theory Transmission and modulation (techniques and equipments) Transmitters. Receivers Transmitting antennas |
| Title | Partially Coherent Constellation Design and Bit-Mapping with Coding for Correlated Fading Channels |
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