A recent proposal for generating High Frequency Gravitational Waves (HFGW) is based on the conversion of electromagnetic waves into gravitational waves by irradiating a dielectric film in the extreme conditions of a high vacuum and a strong magnetic field. These HFGWs can be tested using an electron paramagnetic resonant spectrometer (EPRS). This device contains all the necessary ingredients: a vacuum chamber, microwave generator, a strong magnetic field, and a resonant cavity where the substance to be analysed is introduced. The EPR spectrum of a very small paramagnetic core in a substance is the graph of the absorption of the paramagnetic core as a function of the strong magnetic field B. We shall place our generator inside the resonant cavity. The subsequent HFGW flux is proportional to the square of the strong magnetic field, and as this energy is taken off from the electromagnetic waves, the generator will behave as an absorbing substance and, consequently, the (EPRS) would produce a spectrum of absorption depending upon the square of the magnetic induction vector B. Future efforts suggest that to reach the necessary sensitive level to detect the emission of gravitational radiation, we must improve the vacuum chamber of the spectrometer. This does not seem difficult nor expensive, and if the results are positive, it could be a great support to our proposal of a generator of HFGWs. A communication system, supported by the gravitational wave as a carrier, could be developed using the proposed generator as a source of gravitational waves. © 2004 American Institute of Physics