Approximate Hermite Interpolations for Compactly Supported Linear Canonical Transforms
نویسندگان
چکیده
There has been several Lagrange and Hermite type interpolations of entire functions whose linear canonical transforms have compact supports in ℝ . interpolation representations are called sampling theorems for band-limited signals signal analysis. The truncation, amplitude, jitter errors associated with the investigated rigorously. Nevertheless, amplitude arising from perturbing samples nodes not studied before. aim this work is to establish rigorous analysis their types perturbation errors, which important both practical theoretical points view. We derive precise estimates expose various numerical examples.
منابع مشابه
Fast linear canonical transforms.
The linear canonical transform provides a mathematical model of paraxial propagation though quadratic phase systems. We review the literature on numerical approximation of this transform, including discretization, sampling, and fast algorithms, and identify key results. We then propose a frequency-division fast linear canonical transform algorithm comparable to the Sande-Tukey fast Fourier tran...
متن کاملGeneralized Stieltjes Transforms of Compactly-Supported Probability Distributions: Further Examples
For two families of beta distributions, we show that the generalized Stieltjes transforms of their elements may be written as elementary functions (powers and fractions) of the Stieltjes transform of the Wigner distribution. In particular, we retrieve the examples given by the author in a previous paper and relating generalized Stieltjes transforms of special beta distributions to powers of (or...
متن کاملApproximate Eigenstructure of LTV Channels with Compactly Supported Spreading
In this article we obtain estimates on the approximate eigenstructure of channels with a spreading function supported only on a set of finite measure |U |. Because in typical application like wireless communication the spreading function is a random process corresponding to a random Hilbert–Schmidt channel operator H we measure this approximation in terms of the ratio of the p–norm of the devia...
متن کاملOn linear independence of integer shifts of compactly supported distributions
Linear independence of integer shifts of compactly supported functions plays an important role in approximation theory and wavelet analysis. In this note we provide a simple proof for two known characterizations of linear independence of integer shifts of a finite number of compactly supported distributions on R. By l(Z) we denote the space of all complex-valued sequences v = {v(k)}k∈Zd : Z → C...
متن کاملCompactly Supported Shearlets
Shearlet theory has become a central tool in analyzing and representing 2D data with anisotropic features. Shearlet systems are systems of functions generated by one single generator with parabolic scaling, shearing, and translation operators applied to it, in much the same way wavelet systems are dyadic scalings and translations of a single function, but including a precise control of directio...
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: Computational and mathematical methods
سال: 2022
ISSN: ['2577-7408']
DOI: https://doi.org/10.1155/2022/5243466