  This paper proposes a distributed alternating mixed discrete-continuous
(DAMDC) algorithm to approach the oracle algorithm based on the diffusion
strategy for parameter and spectrum estimation over sensor networks. A least
mean squares (LMS) type algorithm that obtains the oracle matrix adaptively is
developed and compared with the existing sparsity-aware and conventional
algorithms. The proposed algorithm exhibits improved performance in terms of
mean square deviation and power spectrum estimation accuracy. Numerical results
show that the DAMDC algorithm achieves excellent performance.
