Power class time-frequency representations: interference geometry, smoothing, and implementation

The κth power class (PCκ) of quadratic time-frequency representations (QTFRs) is specifically suited for the multiresolution analysis of signals passing through systems whose dispersion characteristic is approximately fκ. This paper considers several aspects of PC analysis important in applications. We discuss the geometry of PC auto terms and cross terms, and we propose new PC QTFRs that attenuate cross terms via smoothing. We describe the implementation of PC QTFRs via warping techniques. Finally, simulation results demonstrate the advantages of PC analysis