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We studied noise properties of microwave signals transmitted through thecryogenic resonator. The experiments were performed with the 11.342 GHzsapphire loaded cavity resonator cooled to 6.2 K. Based on the measuredtransmission coefficient of the cryogenic resonator we computed its noisesuppression function. This was done via Monte-Carlo simulations some details ofwhich are discussed in this Letter. Next, we measured technical fluctuations ofa signal incident on the cryogenic resonator. Having processed these data withthe previously computed noise filtering "template" we inferred noise spectra ofthe transmitted signal. We found that spectral densities of both phase andamplitude fluctuations of the transmitted signal were close to the thermalnoise limit of -180 dB/Hz at Fourier frequencies F $\ge$ 10 kHz. Such thermalnoise limited microwaves allow more precise tests of special relativity andcould be useful at some stages of quantum signal processing.

Low Noise Microwaves for Testing Fundamental Physics