Bebe and Louis Barron and the Machine", by mathematician Norbert Wiener from MIT played an important role in the development of the Barrons' composition. The science of cybernetics proposes that certain natural laws of behavior apply to both animals and more complex electronic machines. By following the equations presented in the book, Louis was able to build electronic circuits which he manipulated to generate sounds. Most of the tonalities were generated with a circuit called a ring modulator. The sounds and patterns that came out of the circuits were unique and unpredictable because they were actually overloading the circuits until they burned out to
Wiener–Khinchin theorem errors can show up as a divergence when the sequence length is modified. Some authors refer to formula_23 as the autocovariance function. They then proceed to normalise it, by dividing by formula_24, to obtain what they refer to as the autocorrelation function. Wiener–Khinchin theorem In applied mathematics, the Wiener–Khinchin theorem, also known as the Wiener–Khintchine theorem and sometimes as the Wiener–Khinchin–Einstein theorem or the Khinchin–Kolmogorov theorem, states that the autocorrelation function of a wide-sense-stationary random process has a spectral decomposition given by the power spectrum of that process. Norbert Wiener proved this theorem for the case of a deterministic function