Performance analysis of IR-UWB in a multi-user environment

• Published in: IEEE transactions on wireless communications Vol. 8; no. 11; pp. 5552 - 5563
• Main Authors: Kharrat-Kammoun, F., Le Martret, C.J., Ciblat, P.
• Format: Journal Article
• Language: English
• Published: New York, NY IEEE 01-11-2009; Institute of Electrical and Electronics Engineers; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Amplitude modulation; Applied sciences; Approximation; Closed-form solution; Coding, codes; Error probability; Exact sciences and technology; Exact solutions; Fading; fixed spreading codes; Gaussian approximation; Generalized-Gaussian Distribution; Impulse radio ultra wide band; Information, signal and communications theory; Interference; Mathematical analysis; multi-user interference; Multipath channels; Multiple access; Optimization; Performance analysis; Pulse modulation; Signal and communications theory; Spreading; Telecommunications and information theory; Ultra wideband technology; Ultrawideband; Wireless communication; Performance evaluation; Multiple access; Error probability; fixed spreading codes; Generalized-Gaussian Distribution; Gaussian distribution; Impulse radio ultra wide band; Ultra wide band; Optimal code; Time hopping communication; multi-user interference; Impulse; Direct sequence; Radio communication
• ISSN: 1536-1276; 1558-2248
• DOI: 10.1109/TWC.2009.081023

In Impulse Radio Ultra Wide Band (IR-UWB) based systems, we show that the Multi-User Interference (MUI) assuming fixed spreading codes can be well approximated by a Generalized-Gaussian Distribution (GGD). Then, we derive an accurate closed-form expression of the approximation for the Average Error Probability (AEP) in both Direct-Sequence (DS) and time-hopping (TH) multiple access context. From this approximation, we are able to characterize and to select the set of codes minimizing the AEP for both multiple access techniques. The merit of each multiple access technique is then analyzed: we especially prove that the probability to find an optimal pair of codes goes to one when increasing the number of chips per symbol with TH technique whereas this probability goes to zero with DS technique. Numerical illustrations confirm our claims.