The analysis of the autocorrelation function of a noise signal in a limited band of a microwave frequency range is described in the paper. On the basis of this analysis, a static characteristic of the detector for object movement was determined. The measurement results for the correlation function of noise signals are shown and the application of such solution in a noise radar for the precise determination of distance variations and the velocity of these changes is presented in the paper. The results for a short-range noise radar operation are presented both for static and moving objects. The experimental results gained from 2.6–3.6 GHz noise-like waveform for the signal of a human breathing and heart beating are presented.