In the field of automotive engineering, broadcast buses, e.g., Controller Area Network (CAN), are frequently used to connect multiple electronic control units (ECUs). Each message transmitted on such buses can be received by each single participant, but not all messages are relevant for every ECU. For this purpose, all incoming messages must be filtered in terms of relevance by either hardware or software techniques. We address the issue of designing hardware filter configurations for clients connected to a broadcast bus in order to reduce the cost, i.e., the computation overhead, provoked by undesired but accepted messages. More precisely, we propose an SMT formulation that can be applied to i) retrieve a (minimal) perfect filter configuration, i.e., no undesired messages are received, ii) optimize the filter quality under given hardware restrictions, or iii) minimize the hardware cost for a given type of filter component and a maximum cost threshold.