In this paper

we present a new algorithm

called adaptive oriented orthogonal projective decomposition （AOP）

to decompose a signal into a sum of Gauss functions. The elementary functions used in AOP are the dilations

modulations and translations of a normalized Gauss function. They can be adjusted to best match the original signal. We derive a Time-Frequency energy distribution

by adding the Wigner-Ville distribution of the selected elementary functions. Since the Gauss functions are well localized in the time-frequency domain

the AOP distribution has high resolution

no crossterm and no negative energy. It’s a powerful tool of time-frequency analysis.