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

fYear

2006

fDate

22-24 March 2006

Firstpage

1528

Lastpage

1533

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;

fLanguage

English

Publisher

ieee

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

Type

conf

DOI

10.1109/CISS.2006.286382

Filename

4068048