摘要
基于信息论原理,提出了一种非等间隔跳频系统的方案,针对不允许频谱重叠系统和允许频谱重叠系统,分别给出了实现方法并对其安全性能进行了理论分析.首先给出了跳频系统的绝对密钥量和相对密钥量、等间隔和非等间隔跳频系统等定义;然后分析了等间隔和非等间隔跳频系统的绝对密钥量和相对密钥量,从而看出在计算机技术和集成电路设计技术得到飞速发展的情况下,跳频系统的绝对密钥量已变成制约其保密性和安全性的关键;理论分析和实例计算可以看出,采用非等间隔跳频后其绝对密钥量有大幅度提高,特别是允许频谱重叠的系统,比等间隔跳频系统提高了2个数量级以上.
Based on the principle of information theory, a novel scheme of unequal-interval frequency-hopping (FH) systems was proposed. For cases of spectrum overlapping systems and non-overlapping systems, the implementation methods were presented and the security performances were discussed theoretically. Firstly, the definitions of absolute and relative key amounts of FH systems, equal-interval and unequal-interval FH systems were given. Then, the absolute key amount and relative key amount were analyzed for equal-interval and unequal-interval FH systems. The results indicated that the absolute key amount had become the key point in improving the security and secrecy of FH systems, especially in today's epoch of highly developed computer science and IC design technology. Theoretical analysis and practical examples showed that the absolute key amount of unequal-interval FH systems was generally over two orders larger than that of equal-interval ones when spectrum overlapping was allowable. Therefore, there was great superiority in enhancing the security and secrecy for the scheme mentioned.
基金
TheNationalNaturalScienceFoundationofChina(No.60072016)theNationalHighTechnologyResearchandDevelopmentProgramofChina(863Program)(No.2003AAlZ1110)theHighTechnologyResearchandDevelopmentProgramofJiangsuProvince(No.BG2003004)theKeyProjectofScienceandTechnologyofMinistryofEducation(02171).
