Nonlinear distortion of an FM signal by half-wave linear rectification

摘要

This paper presents a simple method for calculating the output spectra of a half-wave linear rectifier excited by frequency-, quasi-frequency and amplitude-modulated waves. By representing the half-wave linear rectifier characteristic by a Fourier series, closed form expressions, in terms of the ordinary Bessel functions, are obtained for the amplitudes of the output components. The expressions obtained are compared with previously published expressions and, as a by-product, some apparently new results concerning Bessel functions are obtained.