Title | ||
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New Bounds on the Total-Squared-Correlation of Quaternary Signature Sets and Optimal Designs |
Abstract | ||
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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 |
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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 Li | 1 | 388 | 37.81 |
Stella N. Batalama | 2 | 465 | 37.92 |
Dimitris Pados | 3 | 208 | 26.49 |
John D. Matyjas | 4 | 554 | 43.69 |