New Bounds on the Total-Squared-Correlation of Quaternary Signature Sets and Optimal Designs
Conference paper (postprint)
STATE UNIV OF NEW YORK AT BUFFALO DEPT OF ELECTRICAL ENGINEERING
Pagination or Media Count:
We derive new bounds on the total squared correlation TSC of quaternary quadriphase signaturesequence sets for all lengths and set sizes. Then 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 bindary sets shows what 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 realcomplex-field sets shows that, arguably, not much is to be gained by raising the alphabet size above four.
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