Boundary derivatives of the phases of inner and outer functions and applications
Boundary derivatives of the phases of inner and outer functions and applications
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DOI：
10.1002/mma.1032
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发表时间：
2009-02-01
影响因子：
2.9
通讯作者：
Qian, Tao
中科院分区：
文献类型：
--
作者：
Qian, Tao
我们证明了边界导数的内部功能的相位存在，是积极的几乎无处不在，但那些外部功能，另一方面，有零的边界上的平均。这些概念和结果对于符合物理学和当代解析信号研究要求的瞬时频率和单分量的定义具有决定性的应用。版权所有（C）2008约翰威利父子有限公司
We prove that boundary derivatives of the phases of inner functions exist and are positive almost everywhere, but those of outer functions, on the other hand, have zero mean on the boundary. The concepts and results have definitive applications to the definitions of instantaneous frequency and mono-components complying with requirements in physics and contemporary study of analytic signals. Copyright (C) 2008 John Wiley & Sons, Ltd.