Iterative Matching Pursuit and its Application in Adaptive Time-Frequency Analysis

Zuoqiang Shi
Department of Mathematical Sciences, Tsinghua University

Recently, a Data-Driven Time-Frequency analysis method was developed to deal with nonlinear and nonstationary data. This method employs Matching Pursuit iteratively to look for the sparest representation of the signal over a huge dictionary. In this talk, I will generalize the iterative matching pursuit to some more complicated data sets, such as the data with poor scale separation, data with sparse samples and data with intra-wave frequency modulation. Moreover, the convergence of the iterative matching pursuit will also be discussed in the talk.

Presentation (PDF File)

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