New time-frequency distributions: theory and applications

A new conceptualization of time-frequency (t-f) energy distributions is discussed. Many new t-f distributions with desirable properties can now be designed with relative ease by approaching the problem in terms of the ambiguity plane representation of the kernel. Careful attention to the design principles yields kernels, which yield high-resolution t-f distributions with a considerable reduction of the sometimes troublesome cross terms observed when using other distributions such as the Wigner distribution. When these new t-f distributions are applied to some common signals, fascinating new details emerge. Examples are provided for speech, cortical evoked potentials, and electromyograms