A new complexity metric for FH/SS sequences using fuzzy entropy  

作　　者：CHEN XiaoJun SI JiangBo LI Zan CAI JuePing BAI BaoMing 

机构地区：[1]The State Key Laboratory of Integrated Service Networks (ISN), Xidian University Xi'an 710071, China [2]The School of Mieroelectronics, Xidian University, Xi'an 710071, China

出　　处：《Science China(Information Sciences)》2011年第7期1491-1499,共9页中国科学（信息科学）（英文版）

基　　金：supported by the National Science and Technology Major Project of the Ministry of Science and Technology of China (Grant No.2010ZX03006-002-04);the National High Technology Research and Development Program of China (Grant No.2009AA01Z237);the National Natural Science Foundation of China (Grant No.61072070);the Program for New Century Excellent Talents in University of Ministry of Education of China (Grant No.NCET-07-0653);the 111 Project (Grant No.B08038);the Program for Changjiang Scholars and Innovative Research Team in University of Ministry of Education of China (Grant No.IRT0852)

摘　　要：This paper presents a new complexity metric to evaluate the unpredictability of a frequencyhopping/spread-spectrum （FH/SS） sequence based on fuzzy entropy （FuzzyEn）. According to the property of the FS/SS sequence, the definition of a fuzzy membership function for a complexity metric is presented and a basic theorem for FuzzyEn complexity is proved. Simulation and analytical results show that the proposed FuzzyEn works and can effectively discern the changing complexities of the FH/SS sequences, which are compared with a complexity metric based on approximate entropy （ApEn）. The FuzzyEn scheme has obvious advantages in robustness to resolution parameters and sensitivity to vector dimensions.This paper presents a new complexity metric to evaluate the unpredictability of a frequencyhopping/spread-spectrum （FH/SS） sequence based on fuzzy entropy （FuzzyEn）. According to the property of the FS/SS sequence, the definition of a fuzzy membership function for a complexity metric is presented and a basic theorem for FuzzyEn complexity is proved. Simulation and analytical results show that the proposed FuzzyEn works and can effectively discern the changing complexities of the FH/SS sequences, which are compared with a complexity metric based on approximate entropy （ApEn）. The FuzzyEn scheme has obvious advantages in robustness to resolution parameters and sensitivity to vector dimensions.

关 键 词：frequency-hopping （FH） sequence fuzzy entropy （FuzzyEn） COMPLEXITY 

分 类 号：TP311[自动化与计算机技术—计算机软件与理论] TP391.41[自动化与计算机技术—计算机科学与技术]