Hyperbolic time-frequency power spectrum

A new hyperbolic kernel and hyperbolic wavelet are presented along with their applications in signal detection and signal analysis. Comparisons are made between the hyperbolic kernel and highly-regarded Choi-Williams kernel. Applications of the hyperbolic kernel are outlined. Parallel computing is used to calculate the bispectrum and time-frequency power spectrum with encouraging results. Up-to-date applications of time-frequency power spectra are discussed.