Gentlemen, Uncle Yoda is correct in the definition and use of a fixed station. Fixed stations only communicate to other fixed stations. Fixed stations DO NOT communicate to other mobile, handheld or base stations. The most common examples of fixed stations are SCADA stations used to monitor events and microwave sites. Microwave sites and SCADA stations only talk to another station of the same type, SCADA to SCADA and microwave to microwave. Base stations, operating from a "fixed" locations, communicate with other base stations, portable units and mobile units. A repeater site, even though it is in a stationary location is not a fixed station because of how it is used. It fits the definition of a base station as it passes communications between other base stations, mobiles and portables. Fixed stations use highly directional antennas such as a Yagi or parabolic dish pointed at the ONE station set to receive their transmissions.
So, the radio in your house or the repeater you use, even though their locations are fixed - as in stationary - they are not fixed stations.