Summary

This blog provides MATLAB code and a methodology for synthesizing multiplierless FIR lowpass filters by expressing coefficients as sums of powers of two and mapping them to shift-and-add structures. Readers will learn how to decompose coefficients (PO2/CSD-style), generate bit-true fixed-point implementations in MATLAB, and evaluate the trade-offs between coefficient sparsity, filter order, and frequency response for real-time or hardware deployment.

Key Takeaways

• Synthesize multiplierless FIR filters in MATLAB using coefficient decomposition into sums of powers of two (PO2) and related encodings.
• Represent and quantize coefficients with techniques such as PO2 and CSD to minimize nonzero adders.
• Convert decomposed coefficients into shift-and-add structures to eliminate hardware multipliers.
• Evaluate and trade off filter response degradation versus implementation complexity (adder count, shifts, filter order).
• Adapt and test the generated designs for fixed-point, bit-true simulation and target real-time hardware (DSP/FPGA).

Who Should Read This

DSP engineers, embedded/FPGA designers, and graduate students with experience in filter design who need practical methods to implement low-power, multiplierless FIR filters in MATLAB and for hardware deployment.

Still RelevantIntermediate

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