Frequency-hopping code sequence designs having large linear span
Frequency-hopping code sequence designs having large linear span
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DOI：
10.1109/18.2616
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发表时间：
1988
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影响因子：
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通讯作者：
P. V. Kumar
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文献类型：
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作者：
P. V. Kumar
在频率的传播多个访问通信系统中，希望使用跳跃模式集，除了具有良好的锤子相关属性和较大时期外，还来自具有较大线性跨度的序列。在这里，介绍了基于广义弯曲函数和广义弯曲序列的两个这样的频率跳跃代码序列设计。在第一种情况下，设计的锤子相关性能是最佳的，并且在第二种情况下接近最佳。就字母大小P而言（在两种情况下都必须是素数），这两个设计的周期和家庭大小由（p/sup 2/，p）和（p/sup n/，p/sup n /2/+1）（n个整数）。第一个设计中模式的有限场序列具有线性跨度超过P，而使用第二种设计方法可以获得更大的线性跨度（与序列期相比）。 >
In frequency-hopping spread-spectrum multiple-access communication systems, it is desirable to use sets of hopping patterns that, in addition to having good Hamming correlation properties and large period, are also derived from sequences having large linear span. Here, two such frequency hopping code sequence designs that are based on generalized bent functions and generalized bent sequences are presented. The Hamming correlation properties of the designs are optimal in the first case and close to optimal in the second. In terms of the alphabet size p (required to be prime in both cases), the period and family size of the two designs are given by (p/sup 2/, p) and (p/sup n/, p/sup n/2/+1) (n an even integer), respectively. The finite field sequences underlying the patterns in the first design have linear span exceeding p, whereas still larger linear spans (when compared to the sequence period) can be obtained using the second design method. >