Title
New Bounds on the Total-Squared-Correlation of Quaternary Signature Sets and Optimal Designs
Abstract
We derive new bounds on the total squared correlation (TSC) of quaternary (quadriphase) signature/sequence sets for all lengths L and set sizes K. Then, for all K, L, we design minimum-TSC optimal sets that meet the new bounds with equality. Direct numerical comparison with the TSC value of the recently obtained optimal binary sets shows under what K, L realizations gains are materialized by moving from the binary to the quaternary code-division multiplexing alphabet. On the other hand, comparison with the Welch TSC value for real/complexfield sets shows that, arguably, not much is to be gained by raising the alphabet size above four for any K, L.
Year
DOI
Venue
2009
10.1109/GLOCOM.2009.5426263
GLOBECOM
Keywords
Field
DocType
optimal binary,tsc value,alphabet size,new bound,lengths l,minimum-tsc optimal set,code division multiplexing,quaternary code-division multiplexing alphabet,l realizations gain,quaternary signature sets,minimum-tsc optimal sets,total-squared-correlation,real/complex field sets,welch tsc value,optimal binary sets,quaternary code-division,optimal design,direct numerical comparison,quaternary signature set,optimization,indexing terms,code division multiple access,error correction,wireless communication,correlation,sequences,multiplexing
Combinatorics,Square (algebra),Error detection and correction,Optimal design,Correlation,Multiplexing,Code division multiple access,Mathematics,Alphabet,Binary number
Conference
ISSN
ISBN
Citations 
1930-529X
978-1-4244-4148-8
0
PageRank 
References 
Authors
0.34
18
4
Name
Order
Citations
PageRank
Ming Li138837.81
Stella N. Batalama246537.92
Dimitris Pados320826.49
John D. Matyjas455443.69