The Bedrosian identity and homogeneous semi-convolution equations
The Bedrosian identity and homogeneous semi-convolution equations
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DOI：
10.1216/jie-2008-20-4-527
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发表时间：
2008-12
影响因子：
0.8
通讯作者：
Yu Bo;Haizhang Zhang;Yuesheng Xu;Haizhang Zhang;H. Zhang
中科院分区：
文献类型：
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作者：
Yu Bo;Haizhang Zhang;Yuesheng Xu;Haizhang Zhang;H. Zhang
利用齐次半卷积方程刻画了一类满足经典Bedrosian恒等式或循环Bedrosian恒等式的函数。然后利用哈代空间的平移不变子空间和加法正定核研究了这些方程的解的结构。所得到的结果提供了一些洞察Bedrosian身份和建设的非线性和非平稳信号的时频分析的固有模式函数。
We characterize a class of functions satisfying the classical Bedrosian identity or the circular Bedrosian identity by certain homogeneous semi-convolution equations. The structure of solutions of these equations is then studied using translation invariant subspaces of Hardy spaces and additive positive definite kernels. The obtained results provide some insight into the Bedrosian identity and a construction of intrinsic mode functions for the time-frequency analysis of nonlinear and nonstationary signals.