This paper considers fair radio resource assignment for secondary users operating in TV white space by means of frequency hopping. The achieved throughput for different secondary users is used to measure the degree of fairness. The permissible transmission power for secondary users is set to protect the TV transmission from excessive interference. Hence, there are different limits on the secondary transmission power when operating in different idle TV channels because different adjacent channels generates different amounts of interference based on the TV receiver transfer function in the frequency domain. Moreover, different free TV channels experience different amounts of interference due to the non-linearities in the TV transmission. A model for power assignment in each of the free TV channels is developed based on the received TV signal, TV receiver characteristics and secondary user location. For the sake of fair resource allocation, frequency hopping is proposed herein, and its performance is evaluated. In this study, three different TV transmitters located in three different cities in Sweden, namely, Gavle, Stockholm and Link ¨ oping, are ¨ exploited where the interference from the TV transmission into the free channels is measured. For the secondary system, the deployment of indoor WiFi access points in an office environment is considered and simulated. The main finding is that frequency hopping can provide fair radio resource distribution in terms of the obtainable throughput. Moreover, it is shown that the denser the area is, the higher the achievable secondary throughput due to the higher attenuation of the interfering signals.