In this paper, we propose a simple technique for estimating the standard deviation of a Gaussian random jitter component in a multi-gigahertz signal. This method may utilize existing onchip single-shot period measurement techniques to measure the multi-gigahertz signal periods for the estimation. This method does not require an external sampling clock, nor any additional measurement beyond existing techniques. Experimental results show that this extraction method can accurately estimate the random jitter variance in a multi-gigahertz signal even with the presence of a few hundred-hertz sinusoidal jitter components.