An Orthogonal Discrete Auditory Transform

Details An Orthogonal Discrete Auditory Transform An Orthogonal Discrete Auditory Transform

2005-02-12

arxiv.org/abs/math/0502252v1

Mathematics

Numerical Analysis

11 pages, 4 figures

Scientific paper

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 Schr\"odinger equation. Thanks to the dispersive smoothing property of the Schr\"odinger evolution, ODAT spectrum is smoother than that of the discrete Fourier transform (DFT) consistent with human audition. ODAT and DFT are compared in signal denoising tests with spectral thresholding method. The signals are noisy speech segments. ODAT outperforms DFT in signal to noise ratio (SNR) when the noise level is relatively high.

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