The ILL-Posedness of Derivative and Regularized Interpolation for Non-band limited Functions

The ill-posedness of derivative interpolation is examined in this study, as well as a regularised derivative interpolation for non-bandlimited signals. The convergence of regularised derivative interpolation is examined. The numerical results are shown, and they are compared to derivative interpolation using the Tikhonov regularisation method. The regularised derivative interpolation is more accurate in computation in this investigation. It is possible to use sampling-based regularised derivative interpolation. Some examples are used to establish and verify the convergence property. The numerical results are superior than those obtained using the Tikhonov regularisation approach.

Author(s) Details:

Weidong Chen,
Department of Mathematics, 460 McBryde Hall, Virginia Tech, 225 Stanger Street, Blacksburg, VA 24061-1026, US.

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