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Title:
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Optimal Reduced Rank Time-Frequency/Time Scale Quadratic Detectors |
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Author:
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Sayeed, Akbar M.; Jones, Douglas L.
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Type:
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Conference Paper |
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Keywords:
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deflection criterion; optimal detectors |
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Citation:
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A. M. Sayeed and D. L. Jones,"Optimal Reduced Rank Time-Frequency/Time Scale Quadratic Detectors," in IEEE-SP International Symposium on Time-frequency and Time-scale Analysis, |
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Abstract:
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Optimal detectors based on time-frequency/time-scale representations (TFRs/TSRs) admit a representation in terms of a bank of spectrograms/scalograms that yields a large class of detectors. These range from the conventional matched filter to the more complex higher-rank detectors offering a superior performance in a wider variety of detection situations. In this paper, we optimize this complexity versus performance tradeoff by characterizing TFR/TSR detectors that optimize performance (based on the deflection criterion) for any given fixed rank. We also characterize the gain in performance as a function of increasing complexity thereby facilitating a judicious tradeoff. Our experience with real data shows that, in many cases, relatively low-rank optimal detectors can provide most of the gain in performance relative to matched-filter processors. |
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Date Published:
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1996-01-20 |