A simple algebraic derivation is given for the relationship among the output autocorrelation functions of a general half-wave device and its associated even and odd full-wave devices, when the input is an arbitrary random process. The relationship involves the output autocorrelation fun‘ dual ’ half-wave device, which reduces to the ordinary half-wave output autocorrelation function in the case where the input second-order density is symmetric in both variables. No restrictions are placed on the output-input characteristic of the half-wave device in response to positive input values and all special results previously reported for the output correlation functions of half-wave and full-wavelinearrectifiers are included as special cases.