Algebraic Construction of Optimal Frequency Hopping Patterns Based on Welch Costas Arrays
| Autor: | Jianguo Yao, Wei Heng, Rui Jiang |
|---|---|
| Rok vydání: | 2020 |
| Předmět: |
Ideal (set theory)
Cross-correlation Mathematical model Computer Networks and Communications Autocorrelation Aerospace Engineering Cyclic shift Algebraic construction Finite field Automotive Engineering Frequency-hopping spread spectrum Statistical physics Electrical and Electronic Engineering Computer Science::Information Theory Mathematics |
| Zdroj: | IEEE Transactions on Vehicular Technology. 69:1841-1854 |
| ISSN: | 1939-9359 0018-9545 |
| DOI: | 10.1109/tvt.2019.2961417 |
| Popis: | 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. |
| Databáze: | OpenAIRE |
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