Title :
An Algorithm for Unit Tight Frames with Constant Chip Magnitude Design in Overloaded CDMA Systems
Author :
Cotae, Paul ; Aguirre, Matt ; Shadaram, Mehdi
Author_Institution :
Dept. of Electr. & Comput. Eng., Texas Univ., San Antonio, TX
Abstract :
We developed an algorithm which allows obtaining a Gram matrix having a particular pattern for crosscorrelations of the signature sequences. When it is used for real numbers, unit tight frame signature sets are obtained, as they are required by 2G or 3G CDMA systems. When this algorithm is used for complex numbers, complex valued signature sets with constant chip magnitude are obtained. The results are derived in the context of synchronous CDMA systems and numerical results are provided to illustrate the mathematical formalism.
Keywords :
3G mobile communication; code division multiple access; correlation methods; matrix algebra; 2G CDMA system; 3G CDMA system; Gram matrix; chip magnitude design; code division multiple access; crosscorrelation; signature sequence; Algorithm design and analysis; Code division multiplexing; Communication system traffic; Multiaccess communication; Multiple access interference; Power system modeling; Semiconductor device measurement; Signal design; Spread spectrum communication; Wireless communication; B3G CDMA Systems; Total Squared Correlation; generalized Welch Bound Equality (WBE) sequences; spread spectrum systems; unit norm tight frame;
Conference_Titel :
Information Sciences and Systems, 2006 40th Annual Conference on
Conference_Location :
Princeton, NJ
Print_ISBN :
1-4244-0349-9
Electronic_ISBN :
1-4244-0350-2
DOI :
10.1109/CISS.2006.286382
