Ebook: The Fourier Transform in Biomedical Engineering

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.

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Content:
Front Matter....Pages i-xix
Introduction to the Fourier Transform....Pages 1-24
Linear Systems and the 1-D Fourier Transform....Pages 25-52
The 2-D Fourier Transform....Pages 53-88
Multidimensional Fourier Transforms in Magnetic Resonance Imaging....Pages 89-128
Beyond Fourier: The Wavelet Transform....Pages 129-173
The Discrete Fourier Transform and the Fast Fourier Transform....Pages 175-194
Back Matter....Pages 195-199

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Content:
Front Matter....Pages i-xix
Introduction to the Fourier Transform....Pages 1-24
Linear Systems and the 1-D Fourier Transform....Pages 25-52
The 2-D Fourier Transform....Pages 53-88
Multidimensional Fourier Transforms in Magnetic Resonance Imaging....Pages 89-128
Beyond Fourier: The Wavelet Transform....Pages 129-173
The Discrete Fourier Transform and the Fast Fourier Transform....Pages 175-194
Back Matter....Pages 195-199
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