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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 Brest Tumor Microwave Sensor System(BRATUMASS) [1]; It 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; the signals used in the experiment are single frequency sinusoidal waves, mixed sinusoidal waves, and a piece of bass music waves [2], 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 interpolation, and it will be the next step of this study. [ABSTRACT FROM AUTHOR]