MATLAB Code Implementation of Half-Band Filter

This implementation provides a working MATLAB code example for half-band filter design with practical demonstrations. The code is well-structured and suitable for beginners to understand fundamental DSP concepts. The implementation includes comprehensive comments that clearly explain the algorithmic logic, covering essential aspects such as filter coefficient calculation using the firhalfband function, frequency response analysis, and efficient polyphase decomposition techniques. By studying and running this code, users can gain practical insights into half-band filter properties including their symmetrical impulse response, approximately 50% computational complexity reduction compared to standard FIR filters, and their natural suitability for multirate signal processing systems. The example demonstrates important MATLAB functions like firpm or fdesign.halfband for optimal filter design, while showing practical implementation considerations for real-time applications. We welcome feedback and questions to further improve this educational resource.