Performance analysis of doubly optimal CDMA spreading codes with odd length

George N. Karystinos; Dimitris A. Pados

doi:10.1117/12.487748

23 July 2003 Performance analysis of doubly optimal CDMA spreading codes with odd length

Proceedings Volume 5100, Digital Wireless Communications V; (2003) https://doi.org/10.1117/12.487748
Event: AeroSense 2003, 2003, Orlando, Florida, United States

Abstract

A doubly optimal binary signature set is a set of binary spreading sequences that can be used for code division multiplexing purposes and exhibits minimum total-squared-correlation (TSC)and minimum maximum-squared-correlation (MSC) at the same time. In this article, we focus on such sets with signatures of odd length and we derive closed-form expressions for the signature cross-correlation matrix, its eigenvalues, and its inverse. Then, we derive analytic expressions for (i) the bit-error-rate (BER) upon decorrelating processing,(ii) the maximum achievable signal-to-interference-plus-noise (SINR) ratio upon minimum-mean-square-error (MMSE) filtering, and (iii) the total asymptotic efficiency of the system. We find that doubly optimal sets with signature length of the form 4m+1, m=1, 2,..., are in all respects superior to doubly optimal sets with signature length of the form 4m-1 (the latter class includes the familiar Gold sets as a small proper subset). "4m+1" sets perform practically at the single-user-bound (SUB) after decorrelating or MMSE processing (not true for "4m-1" sets). The total asymptotic efficiency of "4m+1" sets is lower bounded by 2/e for any system user load. The corresponding lower bound for "4m-1" sets is zero.

Citation Download Citation

George N. Karystinos and Dimitris A. Pados "Performance analysis of doubly optimal CDMA spreading codes with odd length", Proc. SPIE 5100, Digital Wireless Communications V, (23 July 2003); https://doi.org/10.1117/12.487748

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available