Atomic signal models based on recursive filter banks

Time-frequency atomic models are useful for signal analysis, modification, and coding, especially when the time-frequency behavior of the atoms matches the behavior of the signal. Such adaptive representations can be derived using the matching pursuit algorithm with an overcomplete dictionary of time-frequency atoms. In this paper, we consider matching pursuit with atoms constructed by coupling causal and anticausal damped sinusoids. These provide advantages over symmetric Gabor atoms for modeling signals with transient behavior, such as music. Furthermore, the matching pursuit computation is simplified by the structure of the atoms; expansions based on these atoms can be derived using simple recursive filter banks.