  This paper develops a Statics Preserving Sparse Radon transform (SPSR)
algorithm.The de-coloration power of Radon basis functions depends on different
factors. The most important one is statics. Statics decrease the sparsity of
Radon models. To tackle this problem, it is necessary to include statics into
the Radon bases functions. SPSR algorithm includes statics into the Radon bases
functions, allowing for a sparse representation of statics contaminated data in
the Radon domain. SPSR algorithm formulated as an $L_2- L_1$ optimization
problem and solved via alternating minimization method. Real data examples used
to test the performance of the proposed method in multiple and noise
attenuation in the presence of statics.
