Super-resolution spectrum analysis regularization: Burg, Capon & AGO-antagonistic algorithms

We propose a regularized Burg algorithm, based on a frequency domain smoothness prior constraint, which solves model order estimation problem in case of short data records. A second algorithm deals with a recursive eigendecomposition method from autoregressive parameters, that allows Capon spectrum analysis regularization. Finally, we have developed a new regularized detectors using log-likehood ratio from regularized reflection coefficients.