A Methodology for Bit Error Rate Prediction in Chaos-based Communication Systems
This paper is devoted to the derivation of an exact analytical expression of the bit error rate for chaos-based DS-CDMA systems. For the studied transmission system, we suppose that synchronization is achieved perfectly, coherent reception is considered, and an Additive White Gaussian Noise channel...
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| Veröffentlicht in: | Circuits, systems, and signal processing systems, and signal processing, 2009-12, Vol.28 (6), p.925-944 |
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| creator | Kaddoum, G. Chargé, P. Roviras, D. Fournier-Prunaret, D. |
| description | This paper is devoted to the derivation of an exact analytical expression of the bit error rate for chaos-based DS-CDMA systems. For the studied transmission system, we suppose that synchronization is achieved perfectly, coherent reception is considered, and an Additive White Gaussian Noise channel (AWGN) is assumed. In the first part of the paper, performance of a mono-user system with different chaotic sequences is evaluated and compared in terms of the error probability. This comparison is realized thanks to the probability density function of the bit energy of a chaotic sequence. The bit error rate can be easily derived by numerical integration. In some particular cases, for certain chaotic sequences with known probability density function of bit energy, we propose an analytical expression of the bit error. In the second part of the paper, the performance of a chaos-based DS-CDMA system is evaluated in the multi-user case. A general conclusion is that probability density function of chaos bit energy, for a given spreading factor, can give a clear idea about how to choose a “good” chaotic sequence for improving the performance of the chaos-based CDMA system. |
| doi_str_mv | 10.1007/s00034-009-9124-5 |
| format | Article |
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For the studied transmission system, we suppose that synchronization is achieved perfectly, coherent reception is considered, and an Additive White Gaussian Noise channel (AWGN) is assumed. In the first part of the paper, performance of a mono-user system with different chaotic sequences is evaluated and compared in terms of the error probability. This comparison is realized thanks to the probability density function of the bit energy of a chaotic sequence. The bit error rate can be easily derived by numerical integration. In some particular cases, for certain chaotic sequences with known probability density function of bit energy, we propose an analytical expression of the bit error. In the second part of the paper, the performance of a chaos-based DS-CDMA system is evaluated in the multi-user case. 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For the studied transmission system, we suppose that synchronization is achieved perfectly, coherent reception is considered, and an Additive White Gaussian Noise channel (AWGN) is assumed. In the first part of the paper, performance of a mono-user system with different chaotic sequences is evaluated and compared in terms of the error probability. This comparison is realized thanks to the probability density function of the bit energy of a chaotic sequence. The bit error rate can be easily derived by numerical integration. In some particular cases, for certain chaotic sequences with known probability density function of bit energy, we propose an analytical expression of the bit error. In the second part of the paper, the performance of a chaos-based DS-CDMA system is evaluated in the multi-user case. A general conclusion is that probability density function of chaos bit energy, for a given spreading factor, can give a clear idea about how to choose a “good” chaotic sequence for improving the performance of the chaos-based CDMA system.</description><subject>Bit error rate</subject><subject>Channels</subject><subject>Chaos theory</subject><subject>Circuits and Systems</subject><subject>Code Division Multiple Access</subject><subject>Communication systems</subject><subject>Communications systems</subject><subject>Electrical Engineering</subject><subject>Electronics and Microelectronics</subject><subject>Engineering</subject><subject>Errors</subject><subject>Exact solutions</subject><subject>Instrumentation</subject><subject>Mathematical analysis</subject><subject>Probability density functions</subject><subject>Signal,Image and Speech Processing</subject><subject>Synchronism</subject><issn>0278-081X</issn><issn>1531-5878</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2009</creationdate><recordtype>article</recordtype><sourceid>BENPR</sourceid><recordid>eNqFkctKAzEUhoMoWKsP4G5w4yp6TjJpkmUt9QIV7-AuZKaZdkpnUpOZRd_GZ_HJnFpBEMTVOXC-_4fDR8gxwhkCyPMIADylAJpqZCkVO6SHgiMVSqpd0gMmFQWFr_vkIMYFAOpUsx55GCa3rpn7qV_62TopfEguyiYZh9Btj7ZxyX1w0zJvSl8nZf3xPppbH2lmo5smI19VbV3m9uv6tI6Nq-Ih2SvsMrqj79knL5fj59E1ndxd3YyGE5pzqRsqM1kwpxWzWaoc13YgbMHRTgvORWZRDpzM9UAy5DljmheWZSgYZIqjxgHwPjnd9q6Cf2tdbExVxtwtl7Z2vo1Go-44zfn_JEidopSbzpNf5MK3oe7eMEoxECJVooNwC-XBxxhcYVahrGxYGwSzkWG2Mkwnw2xkmE2GbTOxY-uZCz_Ff4c-AZZ-i24</recordid><startdate>20091201</startdate><enddate>20091201</enddate><creator>Kaddoum, G.</creator><creator>Chargé, P.</creator><creator>Roviras, D.</creator><creator>Fournier-Prunaret, D.</creator><general>SP Birkhäuser Verlag Boston</general><general>Springer Nature B.V</general><scope>AAYXX</scope><scope>CITATION</scope><scope>3V.</scope><scope>7SC</scope><scope>7SP</scope><scope>7XB</scope><scope>88I</scope><scope>8AL</scope><scope>8AO</scope><scope>8FD</scope><scope>8FE</scope><scope>8FG</scope><scope>8FK</scope><scope>ABJCF</scope><scope>ABUWG</scope><scope>AFKRA</scope><scope>ARAPS</scope><scope>AZQEC</scope><scope>BENPR</scope><scope>BGLVJ</scope><scope>CCPQU</scope><scope>DWQXO</scope><scope>GNUQQ</scope><scope>HCIFZ</scope><scope>JQ2</scope><scope>K7-</scope><scope>L6V</scope><scope>L7M</scope><scope>L~C</scope><scope>L~D</scope><scope>M0N</scope><scope>M2P</scope><scope>M7S</scope><scope>P5Z</scope><scope>P62</scope><scope>PHGZM</scope><scope>PHGZT</scope><scope>PKEHL</scope><scope>PQEST</scope><scope>PQGLB</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PRINS</scope><scope>PTHSS</scope><scope>Q9U</scope><scope>S0W</scope></search><sort><creationdate>20091201</creationdate><title>A Methodology for Bit Error Rate Prediction in Chaos-based Communication Systems</title><author>Kaddoum, G. ; 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For the studied transmission system, we suppose that synchronization is achieved perfectly, coherent reception is considered, and an Additive White Gaussian Noise channel (AWGN) is assumed. In the first part of the paper, performance of a mono-user system with different chaotic sequences is evaluated and compared in terms of the error probability. This comparison is realized thanks to the probability density function of the bit energy of a chaotic sequence. The bit error rate can be easily derived by numerical integration. In some particular cases, for certain chaotic sequences with known probability density function of bit energy, we propose an analytical expression of the bit error. In the second part of the paper, the performance of a chaos-based DS-CDMA system is evaluated in the multi-user case. 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| subjects | Bit error rate Channels Chaos theory Circuits and Systems Code Division Multiple Access Communication systems Communications systems Electrical Engineering Electronics and Microelectronics Engineering Errors Exact solutions Instrumentation Mathematical analysis Probability density functions Signal,Image and Speech Processing Synchronism |
| title | A Methodology for Bit Error Rate Prediction in Chaos-based Communication Systems |
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