Redundant representation of acoustic signals using curvelet transform and its application to speech denoising

A study is conducted to propose a sparse representation method for acoustic signals by the use of curvelets, and confirm its efficacy through an example of speech denoising. The curvelet denoising method was applied using the hard thresholding to speech, to demonstrate the effectiveness of the proposed representation. The method was applied to a female speech with additive pink noise for conducting the investigations. The level of the noise was chosen so that signal-to-noise ratio (SNR) became 10 dB. The thresholding process was iterated 10 times. The same input signal was processed by two denoising Methods for comparison.