Summary

This blog supplies ready-to-use multiplierless FIR coefficient sets for 7-, 11-, and 15-tap half-band filters and shows how to derive Hilbert transformer coefficients from them. It explains practical implementation considerations for multiplier-free (shift-and-add / signed-digit) realizations and trade-offs in stopband attenuation and complexity.

Key Takeaways

• Use the provided 7-, 11-, and 15-tap coefficient sets to implement multiplierless half-band FIR filters.
• Derive Hilbert transformer coefficients directly from half-band coefficients using the simple relationships outlined.
• Apply signed-digit or shift-and-add techniques to realize the supplied coefficients without multipliers.
• Evaluate trade-offs between tap count, stopband attenuation, transition width, and implementation complexity for each design.

Who Should Read This

Intermediate DSP engineers and hardware designers implementing low-power or resource-constrained half-band filters and Hilbert transformers for communications, audio, or real-time systems.

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