Algebraic Construction of Optimal Frequency Hopping Patterns Based on Welch Costas Arrays
IEEE Transactions on Vehicular Technology(2020)
摘要
This paper systematically expounded the theory of optimal frequency hopping patterns based on Welch Costas arrays with 1-gap row, a theory established after studying the properties and mathematical models of the frequency hopping patterns obtained by making two-dimensional cyclic shift to Welch Costas arrays. The algebraic construction and the autocorrelation and cross-correlation properties of the Welch Costas arrays with 1-gap row were studied and certain theorems were proved. The optimal frequency hopping patterns will have ideal autocorrelation and cross-correlation when designed by means of Welch Costas arrays with 1-gap row.
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关键词
Optimal frequency hopping patterns,Welch Costas arrays,cross-correlation function,two-dimensional cyclic shift,finite fields
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