摘要

The concept of envelope has been used widely in signal analysis. However a good mathematical definition of suitable envelope remains an issue. In this paper, we present a novel model to estimate the envelope of a signal by using the convex constrained optimization. This model is based on the commonly accepted knowledge about envelope which makes it coincide with the geometric envelope of the signal. The envelope based on the new model is smooth and has no undershoots. Experiments comparing with the existing typical models of envelope are also implemented and discussed.