The Bargmann analytic representation in signal analysis

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摘要

The Bargmann analytic representation of quantum mechanics is used in the context of time–frequency signal analysis. Transformations between the various representations are derived. Examples that show how this method can be implemented numerically and demonstrate its robustness to noise are discussed.

论文关键词:Signal analysis,Time–frequency analysis,Bargmann function,Hermitian basis

论文评审过程:Received 2 July 2003, Revised 20 October 2003, Available online 15 January 2004.

论文官网地址:https://doi.org/10.1016/j.cam.2003.10.002