In this article, a system which implements random sampling theory is presented-the system obtains each sample after a random time interval, and it is a part of the Breast Tumor Microwave Sensor System (BRATUMASS) which is designed to refine the data of BRATUMASS. The first part introduces the system in the following aspects-the components of the system, how the signal is obtained, and the algorithm we used to calculate the spectrum of non-uniformly sampled data. The second part introduces a set of experimental performances based on random sampling method to explore the features of random sampling, and the signals used in the experiment are single frequency sinusoidal waves, mixed sinusoidal waves, and a piece of bass music waves since the random sampling method is a prototype and not integrated with BRATUMASS yet. The data from BRATUMASS is a uniformly sampled data interpolated with the same mechanism-random time interval interpolationrandom time interval interpolation-will be the next step of this study.