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15 years 1 months ago
Mathematics of The Discrete Fourier Transform (DFT) with Audio Applications
"The Discrete Fourier Transform (DFT) can be understood as a numerical approximation to the Fourier transform. However, the DFT has its own exact Fourier theory, which is the ...
Julius O. Smith III
TSP
2010
12 years 11 months ago
Generalized discrete Fourier transform with nonlinear phase
Constant modulus transforms like discrete Fourier transform (DFT), Walsh transform, and Gold codes have been successfully used over several decades in several engineering applicati...
Ali N. Akansu, Handan Agirman-Tosun
IRFC
2010
Springer
13 years 2 months ago
An Information Retrieval Model Based on Discrete Fourier Transform
Abstract. Information Retrieval (IR) systems combine a variety of techniques stemming from logical, vector-space and probabilistic models. This variety of combinations has produced...
Alberto Costa, Massimo Melucci
IPPS
2003
IEEE
13 years 9 months ago
Short Vector Code Generation for the Discrete Fourier Transform
In this paper we use a mathematical approach to automatically generate high performance short vector code for the discrete Fourier transform (DFT). We represent the well-known Coo...
Franz Franchetti, Markus Püschel
DAC
2005
ACM
14 years 5 months ago
Automatic generation of customized discrete fourier transform IPs
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...
Grace Nordin, Peter A. Milder, James C. Hoe, Marku...