Add to ORKGDoctor of PhilosophyDepartment of MathematicsRobert B. BurckelIn this paper a regularized spectral estimation formula and a regularized iterative algorithm for band-limited extrapolation are presented. The ill-posedness of the problem is taken into account. First a Fredholm equation is regularized. Then it is transformed to a differential equation in the case where the time interval is R. A fast algorithm to solve the differential equation by the finite differences is given and a regularized spectral estimation formula is obtained. Then a regularized iterative extrapolation algorithm is introduced and compared with the Papoulis and Gerchberg algorithm. A time-frequency regularized extrapolation algorithm is presented in the...
We investigate the problem of extrapolation of band-limited signals on the 2-sphere in the presence ...
This thesis is a contribution to the field of ill-posed inverse problems . During the last ten year...
Abstract. This paper deals with the problem of reconstructing a band-limited signal when a finite su...
Doctor of PhilosophyDepartment of MathematicsRobert B. BurckelIn this paper a regularized spectral e...
We present a fast algorithm for exact extrapolation of a discrete-time and periodic band-limited sig...
Abstract In this paper, fast algorithms for the extrapolation of band-limited signals are presented ...
AbstractWe consider a rather simple algorithm to address the fascinating field of numerical extrapol...
146 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 1987.A Fourier theory for modeling...
The straightforward solution of discrete ill-posed linear systems of equations or least-squares prob...
A bandlimited signal extrapolation algorithm is proposed. J. A. Cadzow\u27s algorithm (1979) is modi...
The problem of band-limited extrapolation is studied in a general framework of estimation of a signa...
We consider regularization of linear ill‐posed problem Au = f with noisy data fδ, ¦fδ...
An analysis is carried out, using the prolate spheroidal wave functions, of certain regularized iter...
‘The band-limited extrapolation algorithm was first presented by A. Papoulis in 1973 in an internal ...
A regularized algorithm for the recovery of band-limited signals from noisy data is described. The r...
We investigate the problem of extrapolation of band-limited signals on the 2-sphere in the presence ...
This thesis is a contribution to the field of ill-posed inverse problems . During the last ten year...
Abstract. This paper deals with the problem of reconstructing a band-limited signal when a finite su...
Doctor of PhilosophyDepartment of MathematicsRobert B. BurckelIn this paper a regularized spectral e...
We present a fast algorithm for exact extrapolation of a discrete-time and periodic band-limited sig...
Abstract In this paper, fast algorithms for the extrapolation of band-limited signals are presented ...
AbstractWe consider a rather simple algorithm to address the fascinating field of numerical extrapol...
146 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 1987.A Fourier theory for modeling...
The straightforward solution of discrete ill-posed linear systems of equations or least-squares prob...
A bandlimited signal extrapolation algorithm is proposed. J. A. Cadzow\u27s algorithm (1979) is modi...
The problem of band-limited extrapolation is studied in a general framework of estimation of a signa...
We consider regularization of linear ill‐posed problem Au = f with noisy data fδ, ¦fδ...
An analysis is carried out, using the prolate spheroidal wave functions, of certain regularized iter...
‘The band-limited extrapolation algorithm was first presented by A. Papoulis in 1973 in an internal ...
A regularized algorithm for the recovery of band-limited signals from noisy data is described. The r...
We investigate the problem of extrapolation of band-limited signals on the 2-sphere in the presence ...
This thesis is a contribution to the field of ill-posed inverse problems . During the last ten year...
Abstract. This paper deals with the problem of reconstructing a band-limited signal when a finite su...