尺度，频率，时间，以及尺度变换

[1992] IEEE Sixth SP Workshop on Statistical Signal and Array Processing Pub Date : 1992-10-07 DOI:10.1109/SSAP.1992.246836

L. Cohen

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引用次数: 6

摘要

作者发展了时间、频率和尺度之间的关系，以及它们各自的运算符和表示。提出了一种尺度算子，得到了它的特征函数。这就引出了尺度变换。给出了尺度的卷积定理和相关定理。滤波和线性平移不变系统的概念是为尺度而制定的。

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Scale, frequency, time, and the scale transform

The author develops the relationship between time, frequency, and scale, and their respective operators and representations. A scale operator is proposed and its eigenfunctions are obtained. This leads to the scale transform. The convolution and correlation theorems for scale are developed. The concepts of filtering and linear shift-invariant systems are formulated for scale.<>

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来源期刊

[1992] IEEE Sixth SP Workshop on Statistical Signal and Array Processing

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