混合线性/双线性时间尺度分析

Proceedings of Third International Symposium on Time-Frequency and Time-Scale Analysis (TFTS-96) Pub Date : 1996-06-18 DOI:10.1109/TFSA.1996.550105

M. Pasquier, P. Gonçalves, Richard Baraniuk

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引用次数: 12

摘要

介绍了一种非平稳信号时标分析的新方法。我们的工作利用了“时频分布序列/跨项删除表示”在时间尺度域的成功，以匹配在时间和频率移动方面没有很好建模的宽带信号。使用小波分解和Bertrand(参见J. Math。理论物理。， vol.33, p.2515- 27,1992)时间尺度分布，我们局部平衡线性和双线性，以提供良好的分辨率，同时抑制麻烦的干扰分量。框架理论提供了一个统一的视角，并引导我们深入了解跨术语删除表征。

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Hybrid linear/bilinear time-scale analysis

We introduce a new method for the time-scale analysis of nonstationary signals. Our work leverages the success of the "time-frequency distribution series/cross-term deleted representations" into the time-scale domain to match wide-band signals that are not well modeled in terms of time and frequency shifts. Using a wavelet decomposition and the Bertrand (see J. Math. Phys., vol.33, p.2515-27, 1992) time-scale distribution, we locally balance linearity and bilinearity in order to provide good resolution while suppressing troublesome interference components. The theory of frames provides a unifying perspective and leads us to insights into the cross-term deleted representations.

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Proceedings of Third International Symposium on Time-Frequency and Time-Scale Analysis (TFTS-96)

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