The relationship between the auditory brain-stem response and its reconstructed waveforms following discrete wavelet transformation

OBJECTIVE To examine the relationship between the auditory brain-stem response (ABR) and its reconstructed waveforms following discrete wavelet transformation (DWT), and to comment on the resulting implications for ABR DWT time-frequency analysis. METHODS ABR waveforms were recorded from 120 normal hearing subjects at 90, 70, 50, 30, 10 and 0 dBnHL, decomposed using a 6 level discrete wavelet transformation (DWT), and reconstructed at individual wavelet scales (frequency ranges) A6, D6, D5 and D4. These waveforms were then compared for general correlations, and for patterns of change due to stimulus level, and subject age, gender and test ear. RESULTS The reconstructed ABR DWT waveforms showed 3 primary components: a large-amplitude waveform in the low-frequency A6 scale (0-266.6 Hz) with its single peak corresponding in latency with ABR waves III and V; a mid-amplitude waveform in the mid-frequency D6 scale (266.6-533.3 Hz) with its first 5 waves corresponding in latency to ABR waves I, III, V, VI and VII; and a small-amplitude, multiple-peaked waveform in the high-frequency D5 scale (533.3-1066.6 Hz) with its first 7 waves corresponding in latency to ABR waves I, II, III, IV, V, VI and VII. Comparisons between ABR waves I, III and V and their corresponding reconstructed ABR DWT waves showed strong correlations and similar, reliable, and statistically robust changes due to stimulus level and subject age, gender and test ear groupings. Limiting these findings, however, was the unexplained absence of a small number (2%, or 117/6720) of reconstructed ABR DWT waves, despite their corresponding ABR waves being present. CONCLUSIONS Reconstructed ABR DWT waveforms can be used as valid time-frequency representations of the normal ABR, but with some limitations. In particular, the unexplained absence of a small number of reconstructed ABR DWT waves in some subjects, probably resulting from 'shift invariance' inherent to the DWT process, needs to be addressed. SIGNIFICANCE This is the first report of the relationship between the ABR and its reconstructed ABR DWT waveforms in a large normative sample.

[1]  Amara Lynn Graps,et al.  An introduction to wavelets , 1995 .

[2]  Wim Sweldens,et al.  An Overview of Wavelet Based Multiresolution Analyses , 1994, SIAM Rev..

[3]  Farzin Aghdasi,et al.  Signal processing of the auditory brainstem response: investigation into the use of discrete wavelet analysis , 1998, Proceedings of the 1998 South African Symposium on Communications and Signal Processing-COMSIG '98 (Cat. No. 98EX214).

[4]  James W. Hall.  Handbook of Auditory Evoked Responses , 1991 .

[5]  Jonathan Raz,et al.  A Wavelet Packet Model of Evoked Potentials , 1999, Brain and Language.

[6]  M. Wickerhauser,et al.  Wavelets and time-frequency analysis , 1996, Proc. IEEE.

[7]  T. Suzuki,et al.  Three frequency component waveforms of auditory evoked brainstem response in spinocerebellar degeneration. , 1994, Acta oto-laryngologica. Supplementum.

[8]  John T. Jacobson,et al.  The Auditory brainstem response , 1985 .

[9]  P. M. Bentley,et al.  Wavelet transforms: an introduction , 1994 .

[10]  V. Samar,et al.  Wavelet Analysis of Neuroelectric Waveforms: A Conceptual Tutorial , 1999, Brain and Language.

[11]  G. Paludetti,et al.  Auditory brainstem responses (ABR) in the aged. , 1982, Scandinavian audiology.

[12]  A. Burr Fontaine,et al.  The Detection of Auditory Evoked Responses Using a Matched Filter , 1983, IEEE Transactions on Biomedical Engineering.

[13]  H. Lindman.  Analysis of variance in complex experimental designs , 1974 .

[14]  H. E. Hanrahan.  Extraction of Features in Auditory Brainstem Response (ABR) Signals , 1990, IEEE South African Symposium on Communications and Signal Processing.

[15]  O. Ozdamar,et al.  Automated auditory brainstem response interpretation , 1994, IEEE Engineering in Medicine and Biology Magazine.

[16]  Anastasios Bezerianos,et al.  Adaptive Denoising and Multiscale Detection of the V Wave in Brainstem Auditory Evoked Potentials , 1998, Audiology and Neurotology.

[17]  Wayne J. Wilson,et al.  Wavelet Analysis for Audiologists , 2002 .

[18]  K. Kavanagh,et al.  Analog and zero phase-shift digital filtering of the auditory brain stem response waveform. , 1986, Ear and Hearing.

[19]  T. Suzuki,et al.  ABR topographic mapping with digital filtering using fast Fourier transform. , 1994, Acta oto-laryngologica. Supplementum.

[20]  C. Elberling.  Auditory electrophysiology: spectral analysis of cochlear and brain stem evoked potentials. A comment on: Kevanishvili and Aphonchenko: "Frequency composition of brain stem auditory evoked potentials". , 1979, Scandinavian audiology.

[21]  Michael Unser,et al.  A review of wavelets in biomedical applications , 1996, Proc. IEEE.

[22]  T. Suzuki,et al.  Power spectral analysis of auditory brain stem responses to pure tone stimuli. , 1982, Scandinavian audiology.

[23]  A. Cohen,et al.  Wavelets: the mathematical background , 1996, Proc. IEEE.

[24]  Tokuro Suzuki,et al.  Effects of stimulus repetition rate on slow and fast components of auditory brain-stem responses. , 1986, Electroencephalography and clinical neurophysiology.

[25]  Original Papers: Travaux originaux: Early Auditory-Evoked Responses: Spectral Content , 1981 .

[26]  Edward H. Adelson,et al.  Shiftable multiscale transforms , 1992, IEEE Trans. Inf. Theory.

[27]  K J Blinowska,et al.  Introduction to wavelet analysis. , 1997, British journal of audiology.

[28]  G Stockmanns,et al.  Wavelet Analysis of Middle Latency Auditory Evoked Responses: Calculation of an Index for Detection of Awareness during Propofol Administration , 2001, Anesthesiology.

[29]  R. Mccall,et al.  Fundamental statistics for psychology , 1972 .

[30]  Christian Blatter.  Wavelets: A Primer , 1999 .

[31]  V. Samar,et al.  Multiresolution Analysis of Event-Related Potentials by Wavelet Decomposition , 1995, Brain and Cognition.

[32]  Ingrid Daubechies,et al.  Ten Lectures on Wavelets , 1992 .

[33]  E R John,et al.  Application of digital filtering and automatic peak detection to brain stem auditory evoked potential. , 1982, Electroencephalography and clinical neurophysiology.

[34]  Nick G. Kingsbury,et al.  The dual-tree complex wavelet transform: A new efficient tool for image restoration and enhancement , 1998, 9th European Signal Processing Conference (EUSIPCO 1998).

[35]  G. Sita,et al.  Wavelet Domain Nonlinear Filtering for Evoked Potential Signal Enhancement , 2000, Comput. Biomed. Res..

[36]  R.J. Roy,et al.  Depth of anesthesia estimation and control [using auditory evoked potentials] , 1999, IEEE Transactions on Biomedical Engineering.

[37]  O. Bertrand,et al.  Time-frequency digital filtering based on an invertible wavelet transform: an application to evoked potentials , 1994, IEEE Transactions on Biomedical Engineering.

[38]  Matthias Holschneider,et al.  Wavelets - an analysis tool , 1995, Oxford mathematical monographs.