Results 241 to 250 of about 246,074 (294)

Generalized discrete Fourier transforms: the discrete Fourier-Riccati-Bessel transform

Computer Physics Communications, 1995
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Stade, Eric, Layton, E. G.
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Automatic generation of customized discrete fourier transform IPs

Proceedings of the 42nd annual conference on Design automation - DAC '05, 2005
This paper presents a parameterized soft core generator for the discrete Fourier transform (DFT). Reusable IPs of digital signal processing (DSP) kernels are important time-saving resources in DSP hardware development. Unfortunately, reusable IPs, however optimized, could introduce inefficiencies because they cannot fit the exact requirements of every ...
G. Nordin, P.A. Milder, J.C. Hoe, M. Puschel   +3 more
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Properties of the Multidimensional Generalized Discrete Fourier Transform

IEEE Transactions on Computers, 1979
In this work the generalized discrete Fouriertransform (GFT), which includes the DFT as a particular case, is considered. Two pairs of fast algorithms for evaluating amultidimensional GFT are given (T-algorithm, F-algorithm, and T'-algorithm, F'-algorithm) It is shown that in the case of the DFT of a vector, the T-algorithm represents a form of the ...
Corsini P., Frosini G.
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The generalized discrete fractional fourier transforms

IEEE International Conference on Acoustics Speech and Signal Processing, 2002
In this paper, we develop the generalized discrete fractional Fourier transform (GDFRFT) by factorizing the generalized discrete Fourier transform (GDFT) matrix. Specifically, the eigenvalues and eigenvectors are presented and then used to define the GDFRFT.
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A generalization of the discrete fourier transform

Integral Transforms and Special Functions, 1995
In [2] we have considered a class of integral transforms which generalizs the classical Fourier tranform. We are able now to define a class of discrete tranformations which can be considered as a generalization of the discrete Fourier transform. Furthermore, when our result is considered in connnection with the particular kernel associated with th ...
Carlo Belingeri, Paolo Emilio Ricci
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Generalized Discrete Fourier Transform with optimum correlations

2010 IEEE International Conference on Acoustics, Speech and Signal Processing, 2010
In this paper, we present design methods to optimize nonlinear phase functions of Generalized DFT (GDFT) for minimized auto and cross correlations. It is shown that GDFT offers sizable correlation improvements over DFT, Walsh, and Gold codes. We conclude the paper with a multiuser communications scenario where correlation optimized GDFT outperforms DFT
Ali N. Akansu, Handan Agirman-Tosun
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Generating matrix of discrete Fourier transform eigenvectors

2009 IEEE International Conference on Acoustics, Speech and Signal Processing, 2009
This paper provides a novel method to obtain the eigenvectors of discrete Fourier transform (DFT), which are accurate approximations to the continuous Hermite-Gaussian functions (HGFs). The proposed method uses a generating matrix and an initial eigenvector.
Soo-Chang Pei, Kuo-Wei Chang
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One-dimensional and two-dimensional generalised discrete fourier transforms

IEEE Transactions on Acoustics, Speech, and Signal Processing, 1976
One-dimensional and two-dimensional generalized discrete Fourier transforms (GFT) are introduced. If a one.dimensional vector A is fractured into a two-dimensional matrix B, a one-dimensional GFT on A and a two-dimensional GFT on B give the same result and require the same number of operations to be computed. The result holds also for the DFT, as it is
BONGIOVANNI, Giancarlo, CORSINI P, FROSINI G.   +2 more
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Generalized discrete Fourier transform: Theory and design methods

2009 IEEE Sarnoff Symposium, 2009
Constant amplitude transforms like discrete Fourier transform (DFT), Walsh transform, nonlinear phase Walsh-like transforms and Gold codes have been successfully used in many wire-line and wireless communications technologies including code division multiple access (CDMA), discrete multi-tone (DMT), and orthogonal frequency division multiplexing (OFDM)
Ali N. Akansu, Handan Agirman-Tosun
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Complex symmetric functions and generalized discrete Fourier transform

Rendiconti del Circolo Matematico di Palermo, 1996
Let \(\Omega^{[k]}\) be the class of holomorphic functions \(f(z)\) of the complex variable \(z\) which satisfy, with respect to the \(s\)th root of unity \(\varepsilon_k\), \(k=0,1,\dots,n-1\), the symmetry property \(f(\varepsilon_1z)=\varepsilon_kf(z)\).
Rinaldi, Lucia, Ricci, Paolo Emilio
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