This paper is concerned with the development of Fourier transform spectroscopy from its beginnings in Michelson’s visibility technique through the present day application using modern digital computers. Methods used in maximizing the efficiency of the computation, as well as the interferometer, are discussed. Means of finding the Fourier transform other than by digital computer are mentioned, and currently available commercial instruments are named.
Ernest V. Loewenstein, "The History and Current Status of Fourier Transform Spectroscopy," Appl. Opt. 5, 845-854 (1966)