Statistical Properties of a Sine Wave Plus Random Noise

In Some technical problems we are concerned with a current which consists of a sinusoidal component plus a random noise component. A number of statistical properties of such a current are given here. The present paper may be regarded as an extension of Section 3.10 of an earlier paper, 1 “Mathematical Analysis of Random Noise”, where some of the simpler properties of a sine wave plus random noise are discussed.