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In this work we consider the impact of the number of hops of a frequency hopped code on the auto-correlation surface it produces. The analysis focuses on Costas arrays, which are frequency hopped codes possessing ideal auto-correlation properties. There are two common choices for the number of hops, the minimal sidelobe region (MSR) choice, and the Nyquist choice. We propose two new methods, minimize maximal sidelobe (MMS), and minimize maximum peak sidelobe (MMPS).
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Taylor et al. (2013) studied this question.
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