Welch bound for bandlimited and timelimited signals

Authors:
Yutaka Jitsumatsu;Tohru Kohda;Kazuyuki Aihara
Affiliations:
Dept. Informatics, Kyushu University, Nishi-ku, Fukuoka, Japan;Dept. Informatics, Kyushu University, Nishi-ku, Fukuoka, Japan;Institute of Industrial Science, The University of Tokyo, Tokyo, Japan
Venue:
SETA'12 Proceedings of the 7th international conference on Sequences and Their Applications
Year:
2012

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Abstract

Synchronisation must be established in any communication systems. In multicarrier communications, time and frequency offsets are taken into account. We use cross-ambiguity function to evaluate synchronisation performance and the interference in a CDMA system with such two-dimensional offsets. Welch bound for one dimensional and discrete time cross correlation function is extended to the one for two dimensional and continuous time cross ambiguity functions. This bound is compared with an ambiguity function for continuous time signal generated from discrete time signal with rectangular chip waveforms.