Jennison R.C. Fourier Transforms and Convolutions for the Experimentalist

Pergamon, 1961. — 125.The reasoning applied in the solution of a large number of physical problems involves the use, often unconsciously, of the principles of the Fourier transform. A pictorial solution in which the primary dimensions may be simply computed, together with an appreciation of how the finer details are likely to modify the result, is often all that is required in the initial stages of an investigation. The rigorous solution may follow and may often be expressed entirely in mathematical form with complete precision but without necessarily indicating the form of solution or the behaviour of the system to the reader or student whose approach is not that of the mathematician.
It is the aim of this book to make available to the experimentalist a guide to the principles and practical uses of the Fourier transformation. It is hoped that it will help to bridge the gap between the more abstract account of a purely mathematical approach and the rule of thumb calculation and intuition of the practical worker.The Elementary Transform
Extended Functions: The Superposition or Summation Property
The Direct Application of Fourier Transforms
Limitations, Products and Convolutions
The Differentiation of Fourier Transforms
The Auto-Correlation Function and the Transfer Function of a System Linear in Intensity
Analogue Computers of Fourier Transforms
Tables