Enhancement of Speech Auditory Brainstem Responses Using Adaptive Filters

.............................................................................................................................. ii List of Figures .................................................................................................................... vi List of Tables ....................................................................................................................... x List of Acronyms ................................................................................................................ xi List of Symbols ................................................................................................................. xiii CHAPTER 1: Introduction ................................................................................................. 1 1.1 Motivation ............................................................................................................ 1 1.2 Thesis Outline ...................................................................................................... 3 CHAPTER 2: Background .................................................................................................. 5 2.1 The Auditory Nervous System ............................................................................. 5 2.1.1 Ascending auditory pathway ......................................................................... 5 2.1.2 Descending auditory pathway ....................................................................... 6 2.2 Speech Auditory Brainstem Responses ................................................................ 6 2.3 Time Series Analysis .......................................................................................... 10 2.3.1 Stationarity .................................................................................................. 10 2.3.2 Correlation function .................................................................................... 10 2.4 Optimal Filters .................................................................................................... 11 2.4.1 The Wiener Filter ........................................................................................ 11 2.4.2 The Maximum SNR Filter .......................................................................... 14 2.4.3 The Kalman Filter ....................................................................................... 14 2.5 Adaptive Filters .................................................................................................. 16 2.5.1 Method of Least-mean-square (LMS) ........................................................ 16 2.5.2 Method of Least Square (LS) ...................................................................... 17

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