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New bounds on the total squared correlation and optimum design of DS-CDMA binary signature sets

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2 Author(s)
Karystinos, G.N. ; Dept. of Electr. Eng., State Univ. of New York, Buffalo, NY, USA ; Pados, D.A.

The Welch lower bound (see Welch, R.L., IEEE Trans. Inform. Theory, vol.IT-20, p.397-9, 1974) on the total squared correlation (TSC) of signature sets is known to be tight for real-valued signatures and loose for binary signatures whose number is not a multiple of four. We derive new bounds on the TSC of binary signature sets for any number of signatures K and any signature length L. Then, for almost all K, L in {1,2,...,256}, we design optimum binary signature sets that achieve the new bounds. The design procedure is based on simple transformations of Hadamard matrices.

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Communications, IEEE Transactions on  (Volume:51 ,  Issue: 1 )