It has been shown that signature (multi-) sets that meet Welch’s lower bound on the total squared correlation (TSC), maximize the sum capacity of the synchronous code division multiple access (CDMA) channel with equal average input energy constraints. However, a signature set that is TSC-optimum (i.e. achieves the lower bound on TSC), doesn’t necessarily have a low cross-correlation spectrum. H...

[1] We investigate flow and solute transport in a heterogeneous unsaturated soil under gravity-driven flow conditions using a direct simulation Monte Carlo method. We account for the cross correlation between the heterogeneous fields of unsaturated flow parameters representing a silty loam. We determine through particle tracking the statistical moments of the travel time distribution for nonpoi...

[1] Cross-beam wind is usually estimated using a full correlation analysis (FCA) method applied to signals from spaced antennas. In this paper we present a cross-correlation ratio (CCR) method for wind measurements. The CCR method is illustrated using theory, and data obtained with the National Center for Atmospheric Research’s multiple antenna profiling radar. The standard errors of estimated ...

A diagnostic system using three frequency-resolved optical gating (FROG) techniques—crosscorrelation, second harmonic generation, and self-diffraction—is reported for the reliable characterization of femtosecond laser pulses. The latter two FROG techniques are employed to evaluate suitability in measurements of the reference pulse. A train of optical pulses generated by the superposition of two...