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小波变换系数二维时频空间信息冗余性分析
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作者 郎方年 周激流 +2 位作者 袁晓 何坤 钟钒 《激光杂志》 CAS CSCD 北大核心 2006年第1期58-60,共3页
小波框架的冗余可导致鲁棒性,冗余使得低精度下获得的小波系数能在相对高的精度下重建原始信号。本文详细讨论了在连续和离散两种情况下小波变换系数在二维时频空间中的信息冗余性问题,其中包括对小波框架自身冗余性的分析;对信号本身... 小波框架的冗余可导致鲁棒性,冗余使得低精度下获得的小波系数能在相对高的精度下重建原始信号。本文详细讨论了在连续和离散两种情况下小波变换系数在二维时频空间中的信息冗余性问题,其中包括对小波框架自身冗余性的分析;对信号本身冗余性的分析;对小波变换系数冗余性同小波框架冗余性之间关系的分析;对小波变换系数冗余性同信号冗余性之间关系的分析;最后得出体现小波变换系数冗余性同小波框架的兀余性、信号自身的冗余性这三者之间关系的统一表达式。 展开更多
关键词 小波框架 维数定理 再生核 信号冗余性
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Synergy and Redundancy in a Signaling Cascade with Different Feedback Mechanisms
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作者 Li-Fang Wang Ying Xu +1 位作者 Jun Ma Ya Jia 《Communications in Theoretical Physics》 SCIE CAS CSCD 2018年第10期485-495,共11页
Feedback plays an important role in various biological signal transmission systems. In this paper, a signaling cascade system(including three layers: input(S), intermediate(V), output(X) components) is employed to stu... Feedback plays an important role in various biological signal transmission systems. In this paper, a signaling cascade system(including three layers: input(S), intermediate(V), output(X) components) is employed to study the fluctuations and net synergy in information transmission, in which the V component is regulated by itself or the X component, and each feedback on V is either positive or negative. The Fano factor, the net synergy, and the signalto-noise ratio(SNR) of signaling cascade with the four possible feedback types are theoretically derived by using linear noise approximation of the master equation, and the ability of information transmission through the signaling cascade is characterized by using the partial information decomposition of information theory. It is found that the signaling cascade exhibits different responses to the four feedback mechanisms, which depend on the relationships between degradation rates of components. Our results not only clarify the dependence of the Fano factor, net synergy, and SNR on the feedback regulations with the varying of degradation rates of components, but also imply that living cells could utilize different feedback mechanisms to adapt to the external fluctuating environments. 展开更多
关键词 stochastic theory biological signaling transmission cascade FEEDBACK
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