The paper introduces the problem of designing a telemedical system for pregnancy monitoring at home. It focuses on design challenges concerning embedded computing and networking, requirements modelling, and presents the architecture and solutions when based on new class Medical Cyber-Physical Systems (MCPS). The proposed system consists of a Body Area Network (BAN) of advanced sensors that are interconnected on a body of a pregnant woman, a Personal Area Network (PAN) that is responsible for embedded processing of physical signals, smart alarms, data transmission and communication with the Surveillance Centre located in hospital. It is expected that this dependable telemedical system will provide a high societal value to women with high-ris...