Radars are electromagnetics systems used for detecting and locating reflecting objects. Their operation is based on the transmition of waveforms and on the detection and processing of the reflected signal so that some targets can be estimated (e.g. position, velocity, direction and type of target). Noise radars are systems that use random signals as the transmitting waveform and that for this reason present high performance against external interference, intentional or not, and the suppression of range ambiguity in the detection of targets. The present work initially develops a probabilistic model for the random signals involved in Noise Radars. This model allows for derivation of closed forms expressions for autocorrelation functions, power spectral densities, processing gains, and cross-correlation functions of the random signals involved. Based on this model, a comparison of radars that employ pulse compression and integration in their receivers. More specifically, Noise Radars are compared to traditional radars that use deterministic waveforms (chirps) under different scenarios which are chosen so that some specific aspects like range resolution, side-lobe levels and range ambiguity elimination can be evaluated.