Sayeed, Akbar M.Jones, Douglas L.2007-10-312007-10-311996-01-201996-01-20A. M. Sayeed and D. L. Jones, "Optimal Reduced Rank Time-Frequency/Time Scale Quadratic Detectors," 1996.https://hdl.handle.net/1911/20330Conference PaperOptimal 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.engdeflection criterionoptimal detectorsTime Frequency and Spectral AnalysisConference paperdeflection criterionoptimal detectors