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- M. Natora, F. Franke, and
K. Obermayer. Optimal convolutive filters for real-time detection and
arrival time estimation of transient signals.
.
In Proceedings of World Academy of Science, Engineering and
Technology, volume 55, pages 235-240, 2009.
(PDF)
Linear convolutive filters are fast in calculation and in
application, and thus, often used for real-time processing of continuous data
streams. In the case of transient signals, a filter has not only to detect
the presence of a specific waveform, but to estimate its arrival time as
well. In this study, a measure is presented which indicates the performance
of detectors in achieving both of these tasks simultaneously. Furthermore, a
new sub-class of linear filters within the class of filters which minimize
the quadratic response is proposed. The proposed filters are more flexible
than the existing ones, like the adaptive matched filter or the minimum power
distortionless response beamformer, and prove to be superior with respect to
that measure in certain settings. Simulations of a real-time scenario confirm
the advantage of these filters as well as the usefulness of the performance
measure.
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