Design of an Optimized Mother Wavelet Function for TEOAE Signal Denoising

The aim of this work is to provide a quantitative approach to the problem of matching a mother wavelet to Transient Evoked Otoacoustic Emission (TEOAE) signals by using tuning. A tuning curve was used as a template for designing a mother wavelet that has the maximum matching to the tuning curve. The scaling function was calculated from the matched mother wavelet and by using these functions, lowpass and highpass filters were designed for a filter bank and otoacoustic emissions signal analysis and synthesis. After signal analyzing, denoising is performed by time windowing the signal´s time-frequency components. By using the matched wavelet in otoacoustic emission signal denoising, it is possible to enhance signal to noise ratio up to 7 dB. The wavelet generated from this algorithm was remarkably similar to the Biorthogonal wavelets. Therefore, a high resolution time-frequency analysis for the otoacoustic emission signals is possible.