In this paper a new time-frequency interference terms cancellation method will be presented. We will consider this problem in the multi-structure signal case, where this problem is often difficult to solve due to interference geometry, which can be superposed on the signal component. We propose a technique based on the atomic decomposition of the signal, in order to extract its components. A pyramidal algorithm structure is defined, in order to improve the parameter estimation performances and to reduce its complexity. So, we will show that the method offers some benefits, such as the more exact chirp rate estimation in the noisy environment. Beside the complexity improvement is obtained.