Transition to Healthcare 4.0 necessitates new patient monitoring systems that must be continuous, non-invasive, and resilient to various disorders that occur in a complex, urbanized, and smart hospital setting. Widespread wearable cardiac monitors often experience serious performance impairment when exposed to motion artifacts and electromagnetic interference (EMI) from neighboring medical devices. Such an operational environment necessitates a paradigm shift in sensing and communication technology. Fiber Bragg Grating (FBG) sensors have an essential feature of immunity to EMI and enhanced sensitivity, hence, providing a better solution to the system design of physiological signal acquisition. At the same time, fifth-generation (5G) wireless technology supports the capabilities required for Ultra-Reliable Low-Latency Communication (URLLC) and enhanced Mobile Broadband (eMBB), which are essential for transmitting mission-critical medical data. The given paper describes and models a new, multifunctional system with a portable FBG sensor array and high-resolution BCG signal capture. The system integrates a two-stage process of signal processing pipeline that integrates adaptive filtering and wavelet denoising to achieve aggressive cancellation of motion artifacts. This front-end of sensing and processing is paired with edge-cloud architecture enabled by 5G to make real-time transmission and analysis of data in a smart hospital framework. Evaluation by simulation indicates that the advantage in the performance of the proposed system is that it provides an estimation of the heart rate with a Root Mean Square Error (RMSE) of less than 2.5 bpm and an end-to-end latency of < 5 ms. These results confirm the possibility of the system becoming a reliable and accurate solution for next-generation, non-invasive cardiac monitoring.