Gabor's expansion of a signal into Gaussian elementary signals
Gabor's expansion of a signal into Gaussian elementary signals
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DOI：
10.1109/proc.1980.11686
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发表时间：
1980-04
影响因子：
20.6
通讯作者：
M. J. Bastiaans
中科院分区：
文献类型：
--
作者：
M. J. Bastiaans
本文证明了将信号展开为离散高斯基本信号集的Gabor展开是存在的。扩展到另一个离散的函数集的定义，其中的功能是双正交的，高斯基本信号。因此，可以容易地确定两个展开式的展开系数。
It is proved that Gabor's expansion of a signal into a discrete set of Gaussian elementary signals exists. An expansion into another discrete set of functions is defined, which functions are biorthonormal, to the Gaussian elementary signals. Hence, the expansion coefficients of the two expansions can be determined easily.