Over the years, microphone arrays have been widely used to meet the demands of various acoustic applications. More recently, FPGAs have emerged as a powerful alternative to DSPs and software-based codecs for processing array data, offering parallel processing capabilities and high-speed acceleration essential for real-time audio streaming applications. This thesis focuses on the design and implementation of a real-time digital signal processing pipeline for a synchronous MEMS-microphone array setup, targeting an FPGA platform. The work addresses the challenges of high-throughput PDM (Pulse Density Modulation) signal acquisition and its conversion to PCM (Pulse Code Modulation), using optimized filtering techniques such as CIC and FIR filters.