On the hops present in costas permutations

We determine that exponential Welch permutations lead in general to the smallest maximal frequency hops among all Costas permutations, and are also relatively easy to study, as a closed formula exists for the maximal hop. Through extensive collection of data for logarithmic Welch and Golomb permutations, on the other hand, it is found that a) these 2 families behave (almost) identically, and that b) their maximal hops do not get as small as in exponential Welch permutations.

• Type: Journal
• Year: 2010
• Where: TIT
• Authors: Konstantinos Drakakis
• Keywords: Education, Exponential Welch Permutations, Maximal Hops, Smallest Maximal Frequency, TIT 2010