Abstract
The merit factor of an array specifies the ratio of the energy of its autocorrelation function mainlobe to the energy of its autocorrelation function sidelobes. The merit factor of both the periodic and the aperiodic autocorrelation function of binary arrays is investigated. The merit factor for the periodic autocorrelation function is computed for known classes of binary arrays, such as perfect arrays, shift-register arrays, Legendre arrays, Calabro-Wolf arrays, Lempel arrays, difference set arrays and product arrays. By applying invariance operations to these arrays, the merit factor of the aperiodic autocorrelation function is increased and the sidelobes of the aperiodic autocorrelation function are decreased. The resulting maximal merit factors and minimal sidelobes are tabulated.
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