Mono-frequency signals: Model and construction

An important problem in non-stationary signal processing is to represent a monocomponent signal by its instantaneous amplitude and frequency. There are various models for monocomponent signals, but the unified theory framework is still being developed. In this paper we establish a general model for monocomponent signals, called mono-frequency signals, based on the principles that the instantaneous amplitude and frequency must be nonnegative and uniquely determined by the signal. Our model includes the classical Fourier's harmonic components, T. Qian's mono-components and C. Huang's ϵ-mono-components as special cases. We provide the general conditions for constructing mono-frequency signal classes. We also give concrete mono-frequency signal class examples.