Noise radar has been studied since the 1960´s with varying intensity. The advances in digital signal processing have made this technique interesting to pursue anew. This report presents the basic theory for noise radar and discusses the possibility to realize such systems with the technology available today. Noise radar transmits a random vide-band signal, and then identifies the return signal by correlating with a stored replica of the sent signal. The systems described in the public literature use analogue correlation techniques, but the focus in this report has been on a system with a digital receiver channel. A digital receiver channel has a more flexible function and makes the noise radar a more useful system. Several applications might benefit from using noise radar technology. SAR sensors for smaller UAV´s, radar seekers for missiles and sentry units for urban environments are among the more interesting ones. The focus of the next part of this study will be to make a proof of concept demonstration of noise radar with a digital receiver channel.