The increasing use of automotive radars on roads has led to a significant issue of mutual interference between them. To better understand the characteristics and impact of this interference, it is necessary to perform analytical investigations of FMCW radar-to-radar interference. This thesis presents analytical models for FMCW-to-FMCW mutual interference in ideal conditions, categorizing them into four cases based on different parameters: fully synchronous, generally synchronous, periodically asynchronous, and aperiodically asynchronous. The impact of these types of interference is evaluated on the probability of detection and false alarm probability using CFAR.