Detection of time-frequency components of signals: Bayes and focus SNR

Abstract : The Bayesian time-frequency detector operating on spectrogram of non stationary signals is studied. As direct evaluation of the likelihood ratio is impossible, an a priori user parameter called \textit{focus} is introduced. It is defined as a local time-frequency signal to noise ratio at which the detection is tuned to be optimal. Leading to a unique detection threshold, the parameter introduced is equivalent to the probability of false alarm used in the Neyman-Pearson detection strategy. However, we expect the formulation in terms of local signal to noise ratio to be of intuitive and practical interest.
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Julien Huillery, Nadine Martin. Detection of time-frequency components of signals: Bayes and focus SNR. 7th International Conference on Mathematics in Signal Processing, Dec 2006, Cirencester, United Kingdom. pp.132-136. ⟨hal-00301495⟩

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