With the security problem of image information as the background, some more properties of the period of Arnold transformation of two-dimension were studied by means of introducing a integer sequence. Some new resuits ...With the security problem of image information as the background, some more properties of the period of Arnold transformation of two-dimension were studied by means of introducing a integer sequence. Some new resuits are obtained. Two interesting conjectures on the period of Arnold transformation are given. When making digital images scrambling by Arnold transformation, it is important to know the period of the transformation for the image. As the application of the theory, a new method for computing the periods at last are proposed.展开更多
随着安全通信要求的提高,卫星通信信号的隐蔽性备受关注。提出了一种基于Arnold变换的抗截获波形设计方法,采用图像领域中的Arnold变换,将扩频信号在频域进行置乱后发送,使得置乱后的信号在时域上不具备扩频信号的周期特性,在频域上更...随着安全通信要求的提高,卫星通信信号的隐蔽性备受关注。提出了一种基于Arnold变换的抗截获波形设计方法,采用图像领域中的Arnold变换,将扩频信号在频域进行置乱后发送,使得置乱后的信号在时域上不具备扩频信号的周期特性,在频域上更具有随机特性,提高信号传输的安全性。经Arnold变换后的信号采用时延相关法进行检测,不能检测出明显的相关峰。根据时延相关的结果,采用峰均比(Peak-to-Average Power Ratio, PAPR)检测,分析置乱信号的检测概率。与传统扩频信号相比,设计的信号波形在相同信噪比和检测门限条件下,具有更低的检测概率,抗截获性能更好。经过仿真验证可知,接收端根据Arnold反变换,恢复出包含有重要信息的原始信号,并且经过Arnold变化后的信号几乎不会造成误码率的波动和提升。展开更多
基金Project (10471020) supported by the National Natural Science Foundation project (04JJ6028) supported by the Natural Science Foundation of Hunan Province project (03A002) supported by the Ministry of Education of Hunan Province
文摘With the security problem of image information as the background, some more properties of the period of Arnold transformation of two-dimension were studied by means of introducing a integer sequence. Some new resuits are obtained. Two interesting conjectures on the period of Arnold transformation are given. When making digital images scrambling by Arnold transformation, it is important to know the period of the transformation for the image. As the application of the theory, a new method for computing the periods at last are proposed.
文摘随着安全通信要求的提高,卫星通信信号的隐蔽性备受关注。提出了一种基于Arnold变换的抗截获波形设计方法,采用图像领域中的Arnold变换,将扩频信号在频域进行置乱后发送,使得置乱后的信号在时域上不具备扩频信号的周期特性,在频域上更具有随机特性,提高信号传输的安全性。经Arnold变换后的信号采用时延相关法进行检测,不能检测出明显的相关峰。根据时延相关的结果,采用峰均比(Peak-to-Average Power Ratio, PAPR)检测,分析置乱信号的检测概率。与传统扩频信号相比,设计的信号波形在相同信噪比和检测门限条件下,具有更低的检测概率,抗截获性能更好。经过仿真验证可知,接收端根据Arnold反变换,恢复出包含有重要信息的原始信号,并且经过Arnold变化后的信号几乎不会造成误码率的波动和提升。
