The Research on Phase Spectrum Decomposition Mechanism Based on Spectral Component Companding

Abstract

Aiming at the problem of One-Side EMD on non-equal modulus composite signal processing, this paper proposes the mechanism and method for phase spectrum decomposition based on spectral component companding. This mechanism proposes the conception of “Hypothesis Equimodular Vector”, designs the phase deflection model to calculate equalmodulus resultant vector through spectral component companding method, constructs equal modulus phase spectrum and its One-Side superposition. The equal modulus phase spectrum has features forOne-Side EMD and could be decomposed. This mechanism and method extend One-Side EMD use field from equal modulus to non-equal, which could gain higher generality and wider application prospect. The simulation testing proves that it could be used in the instantaneous time-frequency analysis for any two frequency components with higher reliability and accuracy.