Sequence Families with Optimum Aperiodic Mean-Square Correlation Parameters

In this paper, the aperiodic mean-square correlation (AMSQC) parameters of sequence families are investigated. These parameters are widely accepted performance measures for correlation properties of sequences applied in code-division multiple-access (CDMA) systems and other technical fields. The AMSQC parameters of many known families attain the Welch-bound and result in approximately the same values for the auto-and crosscorrelation. Since in many technical applications either the auto-or the crosscorrelation properties are more relevant, the construction of sequence families which, on the one hand, attain the Welch-bound and which, on the other hand, have a wide range of auto-and crosscorrelation parameters is considered in this paper.

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