Telemedicine systems represent significant achievements in the provision of clinical medicine and health care service using telecommunication and information technologies for the purpose of remote monitoring. Almost all telemedicine systems require a network-enabled device, ranging from server machine to smart phone, which delivers the data as a transmission gateway. The research in this thesis introduces the hardware and software design of a novel Internet-based real time DSP system in the application of telemedicine. Before this work, it was not previously achievable or economically feasible to develop a telemedicine system with a truly embedded measurement platform for real-time monitoring of clinical information on a global scale. The novelty of this design consists in embedding the Internet-based monitoring into the real-time signal processing system, as well as incorporating the merits of wireless communication and global distributed measurement. To demonstrate this concept, a prototype of a truly embedded device incorporating either a browser-based application or a LabVIEW software application has been designed and developed, which is able to provide real-time biomedical signal acquisition, processing, wired/wireless transmission, visualisation, storage and retrieval via the Internet. The concept-to-prototype manipulates multiple biomedical signals from multi-sensors during studies and distributes them to the Internet. The prototype was evaluated on volunteers in vivo under ethical approval. The designed system was also tested under various physiological conditions and different Internet speeds. It manifests desirable performance regarding multi-functionality, ubiquitous accessibility, robustness, and adaptability. The full functionality of this innovative system successfully enables clinicians to remotely monitor a patient's physical condition in real-time globally. The experimental results obtained from the host are in close agreement with the expected performance of the designed system, which proffers evidence that this system represents a true innovation in the realm of telemedicine.