HIGHER-ORDER DIFFERENTIAL ENERGY OPERATORS
HIGHER-ORDER DIFFERENTIAL ENERGY OPERATORS
复制标题
DOI：
10.1109/97.404130
复制
发表时间：
1995-08-01
影响因子：
3.9
通讯作者：
POTAMIANOS, A
中科院分区：
文献类型：
--
作者：
MARAGOS, P;POTAMIANOS, A
提出了整数阶k的瞬时信号算子Upsilon(k)(x) = xx((k-1)) - xx（(k)）来测量信号x与其导数之间的交叉能量，这些高阶微分能量算子作为特殊情况，对于k = 2，包含Teager-Kaiser算子。当应用于（可能调制的）正弦波时，它们产生了一些新的能量测量，用于参数估计或AM-FM解调。将它们应用于采样信号需要用差分代替导数，差分会导致在极短的采样窗口上定义几个有用的离散能量算子。
Instantaneous signal operators Upsilon(k)(x) = xx((k-1)) - xx((k)) of integer orders k are proposed to measure the cross energy between a signal x and its derivatives, These higher order differential energy operators contain as a special case, for k = 2, the Teager-Kaiser operator. When applied to (possibly modulated) sinusoids, they yield several new energy measurements useful for parameter estimation or AM-FM demodulation. Applying them to sampled signals involves replacing derivatives with differences that lead to several useful discrete energy operators defined on an extremely short window of samples.