Recurrent spline-method of estimation spectrum

Regularized spectrum estimation using stable spline kernels

This paper presents a new regularized kernel-based approach for the estimation of the second order moments of stationary stochastic processes. The proposed estimator is defined by a Tikhonov-type variational problem. It contains few unknown parameters which can be estimated by cross validation solving a sequence of problems whose computational complexity scales linearly with the number of noisy...

A Method for Power Spectrum Parameter Estimation

An asymptotic analysis is carried out for an approximate method of estimating the parameters of the power spectrum of a zero-mean stationary Gaussian random process from an observed realization of limited duration. Maximum likelihood estimates are obtained with the approximation that the coefficients of the Fourier series expansion of the realization are uncorrelated. This is equivalent to othe...

Bivariate Spline Method for

Local Buckling of Plates Using The Spline Finite Strip Method

The spline finite strip method (S.F.S.M.) for buckling analysis of plates and plate assemblies subjected to longitudinal compression and bending, transverse compression as well as shear is described. The method allows for the boundary conditions. Local buckling coefficients of plates with different boundary conditions under compression, bending and shear are calculated. Convergence studies with...

A multiple window method for estimation of a peaked spectrum

This paper proposes a new multiple window method for estimating a peaked spectrum. The multiple windows are adapted to the signal, giving a less biased estimate for estimation of peaks than does the Thomson Multiple Window method. Still thle result from estimation of a flat spectrum shows comparable results in variance reduction. The method is based on solution of an eigenvalue problem where th...