Matching pursuit and atomic signal models based on recursive filter banks
Matching pursuit and atomic signal models based on recursive filter banks
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DOI：
10.1109/78.771038
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发表时间：
1999-07-01
影响因子：
5.4
通讯作者：
Vetterli, M
中科院分区：
文献类型：
--
作者：
Goodwin, MM;Vetterli, M
匹配追踪算法可用于根据时频原子字典的元素导出信号分解。使用结构化过完备字典产生参数化和信号自适应的信号模型。在本文中，我们将匹配追踪应用于基于阻尼正弦曲线的信号展开的推导，结果表明，使用简单的递归滤波器组可以有效地推导复杂阻尼正弦曲线的展开，我们讨论了追踪算法的子空间扩展，该算法为基于此类复杂原子推导真实信号的实值展开提供了框架，此外，我们考虑了从底层单侧阻尼正弦曲线构造的对称和不对称两侧原子，主要关注的是将该方法应用于具有瞬态行为的信号（例如音乐）建模；结果表明，基于阻尼正弦曲线的时频原子比对称 Gabor 原子更适合表示瞬态。所得的原子模型对于信号编码和分析修改合成非常有用。
The matching pursuit algorithm can be used to derive signal decompositions in terms of the elements of a dictionary of time-frequency atoms, Using a structured overcomplete dictionary yields a signal model that is both parametric and signal adaptive. In this paper, we apply matching pursuit to the derivation of signal expansions based on damped sinusoids, It is shown that expansions in terms of complex damped sinusoids can be efficiently derived using simple recursive filter banks, We discuss a subspace extension of the pursuit algorithm that provides a framework for deriving real-valued expansions of real signals based on such complex atoms, Furthermore, we consider symmetric and asymmetric two-sided atoms constructed from underlying one-sided damped sinusoids, The primary concern is the application of this approach to the modeling of signals with transient behavior such as music; it is shown that time-frequency atoms based on damped sinusoids are more suitable for representing transients than symmetric Gabor atoms. The resulting atomic models are useful for signal coding and analysis modification synthesis.