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Optimal Convolutive Filters for Real-Time Detection and Arrival Time Estimation of Transient Signals
Citation key Natora20090
Author Natora, M., Franke, F., and Obermayer, K.
Title of Book World Academy of Science, Engineering and Technology 55, Oslo, Norway
Year 2009
Abstract Linear convolutive filters are fast in alculation 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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