Regularization of kernels for estimation of the Wigner spectrum of Gaussian stochastic processes

Abstract.We study estimation of theWigner time-frequency spectrum of Gaussian stochastic processes. Assuming the covariance belongs to the Feichtinger algebra, we construct an estimation kernel that gives a mean square error arbitrarily close to the infimum over kernels in the Feichtinger algebra.2000 AMS Mathematics Subject Classification: Primary: 60G15, 42B35, 60G35, 62M15, 94A12. Abstract.We study estimation of theWigner time-frequency spectrum of Gaussian stochastic processes. Assuming the covariance belongs to the Feichtinger algebra, we construct an estimation kernel that gives a mean square error arbitrarily close to the infimum over kernels in the Feichtinger algebra.2000 AMS Mathematics Subject Classification: Primary: 60G15, 42B35, 60G35, 62M15, 94A12.&nbsp