The Arcsine transform and its applications in signal processing

By initially transforming a signal into its Arcsine value, the multiplications required in the subsequent processing of the signal can be replaced by additions and table look-ups. With the advent of large read-only memories, this may be an attractive method to reduce computation time and simplify hardware in signal processing systems. An elegant method of obtaining the Arcsine transform and its application to several important signal processing problems are discussed. Among these are computation of discrete Fourier transforms and correlation functions, realization of digital filters, modulation and detection of signals, and construction of frequency synthesizers.