Matrix analysis
Efficient numerical methods in non-uniform sampling theory
Numerische Mathematik
Digital Alias-free Signal Processing
Digital Alias-free Signal Processing
Functionally weighted lagrange interpolation of band-limited signals from nonuniform samples
IEEE Transactions on Signal Processing
Block-Based Methods for the Reconstruction of Finite-Length Signals From Nonuniform Samples
IEEE Transactions on Signal Processing
The eigenvalues of matrices that occur in certain interpolationproblems
IEEE Transactions on Signal Processing
Hi-index | 35.68 |
In this correspondence, we derive the relationship between the eigenvalues associated with the matrices of the minimum dimension time-domain and frequency-domain approaches used for reconstructing missing uniform samples. The dependency of the eigenvalues of the weighted Toeplitz matrix on positive weights are explored. Simple bounds for the maximum and minimum eigenvalues of the weighted Toeplitz matrix are also presented. Alternative matrices possessing the same nonzero eigenvalues as that of the weighted Toeplitz matrix are provided. We verify the theory by the examples presented.