m, N 128, and f 2.75 GHz. Also, a much higher accu-racy is obtained in our algorithm. V. CONCLUSION We have presented a fast algorithm for the evaluation of the Fourier transform of piecewise smooth functions. By using a double-interpolation procedure, the algorithm can be applied to both uniformly and nonuniformly sampled data. Hence, this algorithm can also perform a nonuniform fast Fourier transform for unequally spaced data. The complexity of the Ž.. Ž 2.algorithm is O Np N log N plus O Np for precalcu-lation. The numerical results show that the sampling density in our new CGFFT method reduces to five points per wave-length, and the contrast of the medium parameters can be much higher
A group of algorithms is presented generalizing the Fast Fourier Transform to the case of non-intege...
In several applications, data are collected in the frequency (Fourier) domain non-uniformly, either ...
In this paper, we suggest a new Fourier transform based algorithm for the reconstruction of function...
We present an algorithm for the evaluation of the Fourier transform of piecewise constant functions ...
An algorithm is proposed for computing the Fourier Transform (FT) of a uniformly sampled signal at a...
We use the Battle.Lemarié scaling function in an algorithm for fast computation of the Fourier trans...
The nonuniform discrete Fourier transform (NDFT) can be computed with a fast algorithm, referred to ...
AbstractA group of algorithms generalizing the fast Fourier transform to the case of noninteger freq...
and Anders C. Hansen Abstract In this paper, we consider the problem of reconstructing piecewise smo...
The Fast Fourier Transform (FFT) algorithm of Cooley and Tukey [7] requires sampling on an equally s...
The nonlinear Fourier transform (NFT) has recently gained significant attention in fiber optic commu...
The so-called non-uniform fast Fourier transform (NFFT) is a family of algorithms for efficiently co...
Abstract—Based on the regular Fourier matrix, a new set of ac-curacy factors is proposed for the non...
AbstractWe consider a simple approach for the fast evaluation of the Fourier transform of functions ...
This work introduces a fast algorithm based on Singular Value Decomposition to compute the Nonunifor...
A group of algorithms is presented generalizing the Fast Fourier Transform to the case of non-intege...
In several applications, data are collected in the frequency (Fourier) domain non-uniformly, either ...
In this paper, we suggest a new Fourier transform based algorithm for the reconstruction of function...
We present an algorithm for the evaluation of the Fourier transform of piecewise constant functions ...
An algorithm is proposed for computing the Fourier Transform (FT) of a uniformly sampled signal at a...
We use the Battle.Lemarié scaling function in an algorithm for fast computation of the Fourier trans...
The nonuniform discrete Fourier transform (NDFT) can be computed with a fast algorithm, referred to ...
AbstractA group of algorithms generalizing the fast Fourier transform to the case of noninteger freq...
and Anders C. Hansen Abstract In this paper, we consider the problem of reconstructing piecewise smo...
The Fast Fourier Transform (FFT) algorithm of Cooley and Tukey [7] requires sampling on an equally s...
The nonlinear Fourier transform (NFT) has recently gained significant attention in fiber optic commu...
The so-called non-uniform fast Fourier transform (NFFT) is a family of algorithms for efficiently co...
Abstract—Based on the regular Fourier matrix, a new set of ac-curacy factors is proposed for the non...
AbstractWe consider a simple approach for the fast evaluation of the Fourier transform of functions ...
This work introduces a fast algorithm based on Singular Value Decomposition to compute the Nonunifor...
A group of algorithms is presented generalizing the Fast Fourier Transform to the case of non-intege...
In several applications, data are collected in the frequency (Fourier) domain non-uniformly, either ...
In this paper, we suggest a new Fourier transform based algorithm for the reconstruction of function...