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March 2005 An Invertible Discrete Auditory Transform
Yingyong Qi, Jack Xin
Commun. Math. Sci. 3(1): 47-56 (March 2005).


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 found that DAT can gain 3 to 5 decibel (dB) in signal to noise ratio (SNR) over DFT except when the noise level is relatively low.


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Yingyong Qi. Jack Xin. "An Invertible Discrete Auditory Transform." Commun. Math. Sci. 3 (1) 47 - 56, March 2005.


Published: March 2005
First available in Project Euclid: 17 March 2005

zbMATH: 1073.94005
MathSciNet: MR2132825

Rights: Copyright © 2005 International Press of Boston

Vol.3 • No. 1 • March 2005
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