منابع مشابه
An Orthogonal Discrete Auditory Transform
An orthogonal discrete auditory transform (ODAT) from sound signal to spectrum is constructed by combining the auditory spreading matrix of Schroeder et al and the time one map of a discrete nonlocal Schrödinger equation. Thanks to the dispersive smoothing property of the Schrödinger evolution, ODAT spectrum is smoother than that of the discrete Fourier transform (DFT) consistent with human aud...
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A discrete auditory transform (DAT) from sound signal to spectrum is presented and shown to be invertible in closed form. The transform preserves energy, and its spectrum is smoother than that of the discrete Fourier transform (DFT) consistent with human audition. DAT and DFT are compared in signal denoising tests with spectral thresholding method. The signals are noisy speech segments. It is f...
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The eecient implementation of the discrete cosine tansform is discussed in this paper. The architecture, that is used, is a systolic processor array consisting of orthonormal rotations. The angles of these rotations are denoted by ij. With respect to a simple VLSI implementation an approximation of the DCT is realized. The approximation is obtained by using approximate (orthogonal) rotations. I...
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A many to one discrete auditory transform is presented to map a sound signal to a perceptually meaningful spectrum on the scale of human auditory filter band widths (critical bands). A generalized inverse is constructed in closed analytical form, preserving the band energy and band signal to noise ratio of the input sound signal. The forward and inverse transforms can be implemented in real tim...
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The continuous fractional Fourier transform (FRFT) performs a spectrum rotation of signal in the time–frequency plane, and it becomes an important tool for time-varying signal analysis. A discrete fractional Fourier transform has been recently developed by Santhanam and McClellan, but its results do not match those of the corresponding continuous fractional Fourier transforms. In this paper, we...
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ژورنال
عنوان ژورنال: Communications in Mathematical Sciences
سال: 2005
ISSN: 1539-6746,1945-0796
DOI: 10.4310/cms.2005.v3.n2.a10