We consider the problem of semi-cardinal interpolation for polyharmonic splines. For absolutely summable data sequences, we construct a solution to this problem using a Lagrange series representation. The corresponding Lagrange functions are deened using Fourier transforms and the technique of Wiener-Hopf factorizations for semi-space lattices.

Exact reconstruction of a band-limited signal from its non-uniform samples involves the use of Lagrange interpolation, which is impractical to implement as it is computationally difficult. This thesis develops approximate reconstruction methods based on time-warping to obtain reconstruction of band-limited signals from non-uniform samples. A review of non-uniform sampling theorems is presented ...

This paper presents a novel approach to implement the interpolation function by means of Lagrange interpolators. The proposed architecture does not require high-frequency multipliers. With respect to conventional sinc filters of a comparable order, the response of Lagrange interpolators is better both in the passband and in the stopband, while the proposed implementation requires only a small i...