一类最优汉明相关性能的跳频序列集

A Class of Frequency-Hopping Sequence Set with Optimal Hamming Correlation Performance

跳频码分多址广泛应用于蓝牙、超宽带、军事、雷达等通信系统中。跳频序列的性能对跳频系统的性能有很大的影响,寻求和设计具有理想性能的跳频序列是至关重要的。采用具有理想自相关特性的d-型函数和幂函数,构造了一类跳频序列集,并计算得到该序列集的汉明自相关和汉明互相关性质。通过研究结果表明,该类跳频序列集具有最优的最大汉明相关值。此外,基于HG函数利用该方法可以构造得到一类最优跳频序列集,且该序列集具有较大线性复杂度。

FH-CDMA(Frequency-hopping code-division multiple-access)is widey used in Bluetooth,ultra-wideband,military,radar and other communication systems.The performance of the frequencyhopping sequence has a great impact on the performance of frequency-hopping system.It is crucial to seek and design a frequency-hopping sequence with ideal performance.Based on the d-type function and power function with ideal autocorrelation properties,a class of hopping-sequence set is constructed,and Hamming autocorrelation and Hamming cross-correlation properties of the sequence set are calculated.The research results indicate that this type of hopping-sequence set has the optimal maximum Hamming correlation value.In addition,based on the HG function and with this method,a class of optimal frequency-hopping sequence can be constructed,and this class of sequence set has a large linear complexity.