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FIR (Finite Impulse Response) filter theory, design, and software implementation. Real-time software implementation on a custom STM32-based PCB. Overview of digital filtering, use-cases, mathematical theory, convolution, circular buffers, practical considerations, how to design FIR filters, filter design tools, implementation in real-time using C on an embedded system. Visit https://jlcpcb.com/RHS for $2 for five 2-layer PCBs and $5 for five 4-layer PCBs. Little Brain Hardware: https://github.com/pms67/LittleBrain-... FIR Filter Design Tools: https://github.com/pms67/HadesFCS/tre... and http://t-filter.engineerjs.com/ Circular Buffers: https://www.allaboutcircuits.com/tech... If you're enjoying my content, please consider becoming a patron: / phils94 [TIMESTAMPS] 00:00 Preview of FIR Filter Implementation 00:34 JLCPCB Ordering (Custom STM32 PCB) 01:18 Introduction and Overview 01:57 Digital Filter Overview 02:40 Input Signal Representation (Discrete Time) 03:21 Filter Frequency Response 04:42 Output Signal 05:11 FIR Filter Theory (Impulse Response, Convolution) 08:20 Window-Sinc FIR Filter Design Procedure 11:17 Choices When Designing FIR Filters 12:19 Filter Design Tool 14:06 Implementation: Convolution and Circular Buffers 16:58 Header File 17:55 Filter Init and Update Functions 23:03 Filtering Accelerometer Data (DMA, Callbacks, USB, etc.) 25:13 Designing a Practical FIR Filter (Low-Pass) 28:37 Serial Oscilloscope Tool 28:50 Real-Time Accelerometer Filtering Example ID: QIBvbJtYjWuHiTG0uCoK