Title :
Welch Bound for FIR Lowpass Filtered Sequences
Author :
Jitsumatsu, Y. ; Kohda, T.
Author_Institution :
Dept. of Comput. Sci. & Commun. Eng., Kyushu Univ., Fukuoka
Abstract :
Pulse shaping filters are commonly implemented by FIR filters. Motivated by Slepian´s philosophy of discrete prolate spheroidal sequences (DPSS), we investigate Welch´s lower bound on aperiodic auto- and cross-correlations for oversampled sequences. An oversampled sequence set having minimum cross-correlations in chip-asynchronous CDMA system is provided under a given bandwidth condition.
Keywords :
FIR filters; code division multiple access; filtering theory; pulse shaping circuits; FIR filters; FIR lowpass filtered sequences; Slepian philosophy; Welch lower bound; aperiodic auto-correlations; chip-asynchronous CDMA system; cross-correlations; discrete prolate spheroidal sequences; oversampled sequences; pulse shaping filters; Bandwidth; Computer science; Delay effects; Digital filters; Finite impulse response filter; Low pass filters; Multiaccess communication; Pulse shaping methods; Shape; Transmitters; Discrete prolate spheroidal sequences (DPSS); Total square correlations (TSC); Welch bound;
Conference_Titel :
Information Theory, 2007. ISIT 2007. IEEE International Symposium on
Conference_Location :
Nice
Print_ISBN :
978-1-4244-1397-3
DOI :
10.1109/ISIT.2007.4557595
