Generalized sampling interpolation of noisy gravity/gravity gradient data
نویسندگان
چکیده
منابع مشابه
Nonideal Sampling and Regularized Interpolation of Noisy Data
Conventional sampling (Shannon’s sampling formulation and its approximationtheoretic counterparts) and interpolation theories provide effective solutions to the problem of reconstructing a signal from its samples, but they are primarily restricted to the noise-free scenario. The purpose of this thesis is to extend the standard techniques so as to be able to handle noisy data. First, we consider...
متن کاملGeneralized Hermite interpolation with radial basis functions considering only gradient data
The task is to recover a function z : R → R, given only its gradient data ∇z at a set of points. This is an important problem in optical metrology – where the surface of an object needs to be reconstructed from its measured slopes – which still lacks a satisfying solution. We solve the problem employing a Hermite interpolation method based on radial basis functions. Our approach has the followi...
متن کاملGeneralized Hermite Interpolation and Sampling Theorem Involving Derivatives
We derive the generalized Hermite interpolation by using the contour integral and extend the generalized Hermite interpolation to obtain the sampling expansion involving derivatives for band-limited functions f , that is, f is an entire function satisfying the following growth condition |f(z)| ≤ A exp(σ|y|) for some A, σ > 0 and any z = x + iy ∈ C.
متن کاملGeneralized Data Predistortion Using Intersymbol Interpolation
Intersymbol-interpolated digital data predistortion is an efficient countermeasure technique against the high-power amplifier non-linearity in digital microwave radio systems employing bandwidth-efficient quadrature amplitude modulation. This concept was recently introduced by the present authors using a specific transmit pulse shaping that leads to discrete signal levels at two or three points...
متن کاملA Framework for Generalized Scattered Data Interpolation
A generalization of scattered data interpolation for arbitrary sets of data is presented that allows better interpolation in situations where non-punctulate constraints are present. A generalized point{set{metric is introduced which allows adaption of distance weighted interpolation methods to the described generalization. The usefulness of the approach is demonstrated by examples.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Geophysical Journal International
سال: 2009
ISSN: 0956-540X,1365-246X
DOI: 10.1111/j.1365-246x.2009.04193.x