The Fourier Transform in Biomedical Engineering

1. Front Matter

   Pages i-xix

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2. Introduction to the Fourier Transform

   • T. M. Peters

   Pages 1-24

3. Linear Systems and the 1-D Fourier Transform

   • J. H. T. Bates

   Pages 25-52

4. The 2-D Fourier Transform

   • T. M. Peters

   Pages 53-88

5. Multidimensional Fourier Transforms in Magnetic Resonance Imaging

   • G. B. Pike

   Pages 89-128

6. Beyond Fourier: The Wavelet Transform

   • P. Munger

   Pages 129-173

7. The Discrete Fourier Transform and the Fast Fourier Transform

   • T. M. Peters, J. H. T. Bates

   Pages 175-194

8. Back Matter

   Pages 195-199

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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.

• Biology
• Fourier transform
• biomedical engineering
• computed tomography (CT)
• discrete Fourier transform
• fast Fourier transform
• fast Fourier transform (FFT)
• magnetic resonance spectroscopy

• Advanced Imaging Research Group, J.P. Roberts Research Institute, London, UK

  Terry M. Peters

• Department of Ophthalmology, University of Western Ontario, London, UK

  Jackie Williams

Policies and ethics