The current trend of network convergence has been best exemplified by the recent emergence of new services such as Broadband TV (BTV) offered by Telcos around the world. A very relevant research topic is to improve the quality of experience (QoE). This paper focuses on decreasing the user call blocking probability (CBP), which is one of the most important BTV QoE metrics. At first, we analyze a currently typical BTV network architecture. And then, a state-vector-based simulation model is proposed to evaluate the CBP (on a single link). After that, we present a class-based distribution model of channel watching probabilities, and based on this distribution model, we elaborate a general TV channel access control (TCAC) scheme in order to reduce the CBP. This scheme is flexible and can be applicable in many different scenarios. Finally, a case study is carried out, and it demonstrates the potential of this TCAC scheme to improve the BTV QoE by decreasing the CBP on a single link.