ADAPTIVE DECOMPOSITION OF FUNCTIONS INTO PIECES OF NON-NEGATIVE INSTANTANEOUS FREQUENCIES
We introduce the concept of adaptive decomposition of signals into basic building blocks, of which each of the non-negative analytic instantaneous frequency are called mono-components. We propose certain methods based on p-starlike functions and Fourier expansions for such decomposition. We justify the terminology mono-component used in signal analysis.
instantaneous frequency hilbert transform hardy space fourier series fourier integral analytic signal positivity of frequency time-frequency analysis