On the Distribution of Signal-to-Noise Ratio when Estimated from a Power Spectrum

摘要

A rigorous derivation is given of a closed form analytic expression for the probability density function of signal-to-noise power ratio when estimated from a power spectrum containing a noisy signal tone. Formulae are given for the mean and variance and sufficient information is also supplied to enable higher order moments to be derived. The derivations of the above formulae are followed by brief considerations of the implications in experimental measurement design. (Author)