Applications and Extensions of Quadratic Signal Representations

104 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2002.The second part of the dissertation concentrates on developing nonnegative, high-resolution TFRs that correspond with intuitive notions of energy distribution. These so-called consistent TFRs are developed by requiring the desired representation to be consistent with a set of spectrogram-based energy measurements. The desired representation is obtained as the solution to a constrained-optimization problem. The optimization problem can be solved using a gradient-projection technique. The consistent TFR demonstrates superior performance compared to existing techniques on a variety of test signals as well as on actual biological data. The result is a high-resolution, nonnegative, intuitively satisfying TFR that should prove to be an excellent tool for exploratory analysis.U of I OnlyRestricted to the U of I community idenfinitely during batch ingest of legacy ETD