Bøger i Applied and Numerical Harmonic serien

In 1994, in my role as Technical Program Chair for the 17th Annual International Conference of the IEEE Engineering in Medicine and Biology Society, I solicited proposals for mini-symposia to provide delegates with accessible summaries of important issues in research areas outside their particular specializations. Terry Peters and his colleagues submitted a proposal for a symposium on Fourier Trans­ forms and Biomedical Engineering whose goal was "to demystify the Fourier transform and describe its practical application in biomedi­ cal situations". This was to be achieved by presenting the concepts in straightforward, physical terms with examples drawn for the parti­ cipants work in physiological signal analysis and medical imaging. The mini-symposia proved to be a great success and drew a large and appreciative audience. The only complaint being that the time allocated, 90 minutes, was not adequate to allow the participants to elaborate their ideas adequately. I understand that this feedback helped the authors to develop this book.

I Theory and Implementations.- 1 Singular integrals related to the Monge-Ampère equation.- 2 Wavelet characterization of functions with conditions on the mean oscillation.- 3 Undecimated Wavelet Transform from Orthogonal Spline Wavelets.- 4 Oblique Multiwavelet Bases.- 5 Frames and Riesz bases: a short survey.- 6 Fourier Analysis of Petrov-Galerkin Methods Based on Biorthogonal Multiresolution Analyses.- II Applications to Biomedical Sciences.- 7 Fine Structure of ECG Signal using Wavelet Transform.- 8 Spectral Analysis of Cardiorespiratory Signals.- 9 Characterization of Epileptic EEG Time Series (I): Gabor Transform and Nonlinear Dynamics Methods.- 10 Characterization of Epileptic EEG Time Series (II): Wavelet Transform and Information Theory.- III Applications in Physical Sciences.- 11 Wavelet Networks for Modelling Nonlinear Processes.- 12 Higher order asymptotic boundary conditions for an oxide region in a semiconductor device.- 13 Estimation of the complex plain-wave modulus in viscoelastic media.- 14 Numerical Modelling of Maxwell's Equations with Applications to Magnetotellurics.