Large Deviations for Code Division Multiple Access Systems

We derive approximations for the probability of a bit error for a code division multiple access (CDMA) system with one-stage soft decision parallel interference cancellation. More precisely, we derive the exponential rates, J<sub>κ</sub> with cancellation and I<sub>k</sub> wi...

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Veröffentlicht in:	SIAM Journal on Applied Mathematics. - Society for Industrial and Applied Mathematics, 1966. - 62(2002), 3, Seite 1044-1065
1. Verfasser:	van der Hofstad, Remco (VerfasserIn)
Weitere Verfasser:	Hooghiemstra, Gerard, Klok, Marten J.
Format:	Online-Aufsatz
Sprache:	English
Veröffentlicht:	2002
Zugriff auf das übergeordnete Werk:	SIAM Journal on Applied Mathematics
Schlagworte:	Large Deviation Theory Code Division Multiple Access Soft Decision Parallel Interference Cancellation Bahadur-Rao Asymptotics S003613999936372X Applied sciences Mathematics Social sciences Behavioral sciences


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245	1	0	\|a Large Deviations for Code Division Multiple Access Systems
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520			\|a We derive approximations for the probability of a bit error for a code division multiple access (CDMA) system with one-stage soft decision parallel interference cancellation. More precisely, we derive the exponential rates, J<sub>κ</sub> with cancellation and I<sub>k</sub> without cancellation, of a CDMA system with k users and processing gain equal to n as n → ∞. Whereas the rates I<sub>k</sub> follow explicitly from Cramér's theorem, the rates J<sub>k</sub> are given in terms of an optimization problem that can be evaluated numerically. We prove that <latex>$J_k > I_k$</latex> for k ≥ 3, which shows that interference cancellation is effective. For the case without interference cancellation, we investigate the second order (Bahadur-Rao) asymptotics. For the case with interference cancellation, we can obtain second order asymptotics only for k = 3. Together the limits provide excellent approximations for the probability of a bit error in a wide range of interest.
540			\|a Copyright 2002 Society for Industrial and Applied Mathematics
650		4	\|a Large Deviation Theory
650		4	\|a Code Division Multiple Access
650		4	\|a Soft Decision Parallel Interference Cancellation
650		4	\|a Bahadur-Rao Asymptotics
650		4	\|a S003613999936372X
650		4	\|a Applied sciences \|x Engineering \|x Telecommunications \|x Data transmission \|x Multiple access \|x Code division multiple access
650		4	\|a Mathematics \|x Mathematical procedures \|x Approximation
650		4	\|a Social sciences \|x Communications \|x Semiotics \|x Signals
650		4	\|a Mathematics \|x Pure mathematics \|x Discrete mathematics \|x Number theory \|x Numbers \|x Real numbers \|x Rational numbers \|x Integers
650		4	\|a Mathematics \|x Pure mathematics \|x Probability theory \|x Random variables
650		4	\|a Mathematics \|x Applied mathematics \|x Statistics \|x Error rates
650		4	\|a Mathematics \|x Mathematical values \|x Critical values \|x Extrema \|x Mathematical minima
650		4	\|a Behavioral sciences \|x Psychology \|x Cognitive psychology \|x Cognitive processes \|x Thought processes \|x Reasoning \|x Rationality
650		4	\|a Mathematics \|x Applied mathematics \|x Statistics \|x Applied statistics \|x Descriptive statistics \|x Statistical distributions \|x Distribution functions
650		4	\|a Mathematics \|x Pure mathematics \|x Algebra \|x Coefficients \|x Fourier coefficients
655		4	\|a research-article
700	1		\|a Hooghiemstra, Gerard \|e verfasserin \|4 aut
700	1		\|a Klok, Marten J. \|e verfasserin \|4 aut
773	0	8	\|i Enthalten in \|t SIAM Journal on Applied Mathematics \|d Society for Industrial and Applied Mathematics, 1966 \|g 62(2002), 3, Seite 1044-1065 \|w (DE-627)266884121 \|w (DE-600)1468266-7 \|x 00361399 \|7 nnns
773	1	8	\|g volume:62 \|g year:2002 \|g number:3 \|g pages:1044-1065
856	4	0	\|u https://www.jstor.org/stable/3061799 \|3 Volltext
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