Determining the complexity of FH/SS sequence by approximate entropy

Determining the complexity of FH/SS sequence by approximate entropy
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通过近似熵确定FH/SS序列的复杂度

DOI:
10.1109/tcomm.2009.03.060721
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发表时间:
2009-03
影响因子:
8.3
通讯作者:
Li, Zan
Li, Zan
中科院分区:
计算机科学2区
文献类型:
--
作者:
Cai, Jueping;Chang, Yilin;Li, Zan

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跳频/扩频序列的高复杂度使得跳频/扩频序列的分析变得困难,对高保密性的多址通信系统具有重要意义。随着跳频/扩频序列设计在更广泛的领域的发展,线性复杂度(LC)、线性复杂度剖面(LCP)和k-误差线性复杂度(k-error LC)等著名的复杂度度量方法得到了广泛的应用,但不足以用来评价密码序列和混沌序列族等序列的复杂度。针对任意长度跳频扩频序列的最大随机性问题,提出了一种基于近似熵(ApEn)的复杂度度量方法来评价跳频扩频序列的不可预测性。从概率的角度给出了近似熵的理论界。仿真和分析结果表明,所提出的近似熵算法能够有效地识别跳频/扩频序列复杂度的变化,且样本数较少,性能上级其候选算法。
High complexity of frequency-hopping (FH)/spreadspectrum (SS) sequence is of great importance to high-security multiple-access communication systems, for it makes FH/SS sequence difficult to be analyzed. With the growing development in the design of FH/SS sequence in much wider fields, the wellknown complexity measuresiquestthe linear complexity (LC), the linear complexity profile (LCP) and the k-error linear complexity (k-error LC)iquestare widely used but not sufficient to evaluate the complexities of the sequences available, such as the cryptographical sequence and the chaotic sequence families. In this paper, a new complexity metric to evaluate the unpredictability of FH/SS sequence based on the approximate entropy (ApEn) is proposed in the view of the maximal randomness of the sequences with arbitrary length. And the theoretical bounds of the ApEn are derived from a probabilistic point of view. Simulations and analysis results show that, the proposed ApEn works effectively to discern the changing complexities of the FH/SS sequences with small number of samples, which provide superior performance over its candidates.
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