Spheroidal Wave Functions
نویسندگان
چکیده
منابع مشابه
Chromatic Series and Prolate Spheroidal Wave Functions
The Ignjatovic theory of chromatic derivatives and series is extended to include other series. In particular series of prolate spheroidal wave functions are used to replace the orthogonal polynomial series in this theory. It is extended further to prolate spheroidal wavelet series that enables us to combine chromatic series with sampling series.
متن کاملGeneralized and Fractional Prolate Spheroidal Wave Functions
An important problem in communication engineering is the energy concentration problem, that is the problem of finding a signal bandlimited to [−σ, σ] with maximum energy concentration in the interval [−τ, τ ], 0 < τ, in the time domain, or equivalently, finding a signal that is time limited to the interval [−τ, τ ] with maximum energy concentration in [−σ, σ] in the frequency domain. This probl...
متن کاملSolve spheroidal wave functions by SUSY method ∗
In the paper, we study the spin-weighted spheroidal wave functions in the case of s = m = 0. Their eigenvalue problem is investigated by the perturbation method in supersymmetric quantum mechanics (SUSYQM). For the ground state, the first three terms of ground eigenvalue and eigenfunction in parameter α = aw are obtained. The obtained ground eigenfunction is elegantly in closed forms. Due to th...
متن کاملNew investigation for the spheroidal wave functions ∗
The perturbation method in supersymmetric quantum mechanics (SUSYQM) is used to study the spheroidal wave functions’ eigenvalue problem. Expanded by the parameter α, the first order term of ground eigen-value and the eigen-function are gotten. In virtue of the good form of the first term in the superpotential and its shape-invariant property in the first order, we also obtain the eigenvalues an...
متن کاملSpatial smoothing in fMRI using prolate spheroidal wave functions.
The acquisition of functional magnetic resonance imaging (fMRI) data in a finite subset of k-space produces ring-artifacts and 'side lobes' that distort the image. In this article, we explore the consequences of this problem for functional imaging studies, which can be considerable, and propose a solution. The truncation of k-space is mathematically equivalent to convolving the underlying "true...
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: Physics Today
سال: 1958
ISSN: 0031-9228,1945-0699
DOI: 10.1063/1.3062460