Chip-asynchronous version of welch bound: gaussian pulse improves BER performance

Authors:
Yutaka Jitsumatsu;Tohru Kohda
Affiliations:
Dept. of Computer Science and Communication Engineering, Kyushu University, Fukuoka, Japan;Dept. of Computer Science and Communication Engineering, Kyushu University, Fukuoka, Japan
Venue:
SETA'06 Proceedings of the 4th international conference on Sequences and Their Applications
Year:
2006

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Abstract

We give a quadratic form expression of the mean squared multiple-access interference (MAI) averaged over relative time delays for chip-asynchronous DS/CDMA systems. A lower bound on the mean squared MAI is referred to as chip-asynchronous version of Welch bound, which depends on chip pulse shapes. Real analysis tells us that a pair of rectangular and sinc functions is one of Fourier transform and its inverse Fourier transform and vice versa. On the other hand, Gaussian pulses have the self-duality property. Gaussian chip pulses sacrifice inter-symbol interference, however, they give smaller mean squared MAI, as well as lower bit error rate, than the conventional Nyquist pulses.