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Faster Homomorphic Discrete Fourier Transforms and Improved FHE Bootstrapping
Discrete Fourier Transform Homomorphic Encryption Bootstrapping
2018/11/12
In this work, we propose a faster homomorphic linear transform algorithm for structured matrices such as the discrete Fourier transform (DFT) and linear transformations in bootstrapping.
We present a methodology to evaluate a Discrete Fourier Transform (DFT) on data which has been encrypted using a Somewhat Homomorphic Encryption (SHE) scheme, which is over 200 times faster than other...
FAST COMPUTATION OF PARTIAL FOURIER TRANSFORMS
fast Fourier transform multiscale decomposition butterfly algorithm fractional Fourier transform wave extrapolation
2015/7/14
This paper is concerned with the evaluation of the partial Fourier transform ux =|k|Nfk in one and two dimensions. The motivating application is the wave extrapolation procedure in ...
On Choosing Fourier Transforms for Practical Geoscience Applications
Fourier Transforms Filtering Spectra Impulse Response
2013/3/11
The variety of definitions of Fourier transforms can create confusion for practical applications. This paper examines the choice of formulas for Fourier transforms and determines the appropriate choic...
A New Viewpoint to the Discrete Approximation: Discrete Yang-Fourier Transforms of Discrete-time Fractal Signal
local fractional calculus fractal Yang Fourier transforms discrete approximation discrete Yang-Fourier transforms
2011/8/26
Abstract: It is suggest that a new fractal model for the Yang-Fourier transforms of discrete approximation based on local fractional calculus and the Discrete Yang-Fourier transforms are investigated ...
A generalized model for Yang-Fourier transforms in fractal space
local fractional calculus Yang-Fourier transforms fractal
2011/7/26
Abstract: Yang-Fourier transform is derived from local fractional calculus. This paper presents a generalized model for Yang-Fourier transform in fractal space and some results are investigated in det...
We consider a topological integral transform of Bessel (concentric isospectral sets) type and Fourier (hyperplane isospectral sets) type, using the Euler characteristic as a measure. These transforms...
Uniqueness results for the phase retrieval problem of fractional Fourier transforms of variable order
Phase retrieval Pauli problem Fractional Fourier transform entire function of finite order
2010/12/8
In this paper, we investigate the uniqueness of the phase retrieval problem for the fractional Fourier transform (FrFT) of variable order. This problem occurs naturally in optics and quantum physics. ...
Restricting Fourier transforms of measures to curves in R^2
Fourier transforms of fractal measures Fourier restriction
2010/12/14
We establish estimates for restrictions to certain curves in R2 of the Fourier transforms of some fractal measures.
CAUCHY TRANSFORMS OF MEASURES VIEWED AS SOME FUNCTIONALS OF FOURIER TRANSFORMS
Cauchy transform Fourier transform Laplace transform compound Poisson distribution
2009/9/18
The Cauchy transform of a positive measure plays an
important role in complex analysis and more recently in so-called free
probability. We show here that the Cauchy transform restricted to the
imag...
DISCRETE FOURIER TRANSFORMS OF THE SERIES WITH RANDOMLY MISSED DATA：EXPERIMENTAL TESTS
DISCRETE FOURIER TRANSFORMS RANDOMLY MISSED DATA EXPERIMENTAL TESTS
2009/4/23
DISCRETE FOURIER TRANSFORMS OF THE SERIES WITH RANDOMLY MISSED DATA：EXPERIMENTAL TESTS。
Heisenberg Uncertainty Principles for Some $q^2$-Analogue Fourier Transforms
Heisenberg inequality $q$-Fourier transforms
2010/1/22
The aim of this paper is to state -analogues of the Heisenberg uncertainty principles for some -analogue Fourier transforms introduced and studied in [7,8].