The basic material for this book has been accumulated from time to time over the author’s working lifetime of about 40 years. The rules-and-pairs approach to Fourier transforms has been employed with good effect in a wide variety of problems, from pulse Doppler radar spectra to delay compensation, and antenna array patterns to efficient clutter simulation. It has been found generally easy and effective, quickly yielding useful results and allowing the user to see clearly the relationships between functions and transforms, waveforms and spectra, rather than losing sight of these in the complexities of integration. It seemed that the benefits of this approach should be better known, and the initial intention was to produce a technical note for use by the author’s colleagues and successors. However, the interest shown and encouragement given by Artech House have been gratefully received, and the opportunity to publicize the technique more widely has been taken.
The support of Roke Manor Research in providing the facilities and freedom to write this book is gratefully acknowledged, as are the backing of C. J. Tarran and the reviewing of S. H. W. Simpson. The final acknowledgment is to the publisher’s reviewer, remaining anonymous, who provided encouragement and useful comments.
