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With the recent deployment of 5G network, the ever increasing IoT has got a tremendous boost in its expansion and already has penetrated well into the government, commercial and private sectors. With the countless IoT devices and myriad of applications, many of them are resource constrained and have limited energy budget. These IoT devices demand low-energy technique for their computing and communication tasks to stay active for longer period. The two main baseband processes that dissipate bulk of CPU power from the IoT device are synchronization and Finite Impulse Response (FIR) filtering. In this circumstance, hardware-based baseband processing can take these tasks off of the CPU and may significantly reduce energy consumption. While conventional Binary Radix Computing (BC)-based hardware modules can improve power dissipation, Stochastic Computing (SC)-based hardware will certainly cut down much more both the power as well as silicon space in comparison. With this motivation, we propose novel SC-based hardware designs in regards to synchronization and Finite Impulse Response (FIR) filter for resource constraint IoT devices. Comparative analysis shows that our proposed SC-based design can reduce significantly more power and silicon area compared to the BC as well as other proposed SC designs.