Time-frequency analysis
Time-frequency analysis
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DOI：
10.1007/978-94-010-0117-5_5
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发表时间：
2003
期刊：
影响因子：
--
通讯作者：
A. Rao;Khaled H. Hamed;Huey-Long Chen
中科院分区：
文献类型：
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作者：
A. Rao;Khaled H. Hamed;Huey-Long Chen
传统上，时间序列已经在时域或频域中进行了研究。信号在时域中的表示在时间上是局部化的，即信号在每个时刻的值是明确定义的。然而，信号的时间表示在频率上的局部化很差，即，通过在时域中查看信号，可以知道关于信号在特定频率处的频率内容的很少信息。另一方面，信号在频域中的表示在频率上很好地局部化，但在时间上很差地局部化，因此不可能知道某些事件何时发生。
Conventionally, time series have been studied either in the time domain or the frequency domain. The representation of a signal in the time domain is localized in time, i.e. the value of the signal at each instant in time is well defined. However, the time representation of a signal is poorly localized in frequency, i.e. little information about the frequency content of the signal at a certain frequency can be known by looking at the signal in the time domain. On the other hand, the representation of a signal in the frequency domain is well localized in frequency, but is poorly localized in time, and as a consequence it is impossible to tell when certain events occurred in time.