Application of basis pursuit in spectrum estimation

We apply basis pursuit, an atomic decomposition technique, for spectrum estimation. Compared with several modern time series methods, our approach can greatly reduce the problem of power leakage; it is able to superresolve; moreover, it works well with noisy and unevenly sampled signals. We present experiments on bizarrely spaced radial velocity data from one of the newly-discovered extrasolar planetary systems. © 1998 IEEE.