https://blog.signal-forge.app/tags/numerical-precision/Recent content in Numerical Precision on SignalForge Engineering NotesHugoen-usMon, 23 Feb 2026 00:00:00 +0000https://blog.signal-forge.app/posts/fir-vs-iir-stability-in-embedded-dsp-systems/Mon, 23 Feb 2026 00:00:00 +0000https://blog.signal-forge.app/posts/fir-vs-iir-stability-in-embedded-dsp-systems/A practical engineering comparison of FIR and IIR filter stability in embedded DSP systems, explaining numerical behavior, robustness, and real-world deployment tradeoffs.https://blog.signal-forge.app/posts/why-over-optimization-breaks-dsp-filters-in-production/Mon, 23 Feb 2026 00:00:00 +0000https://blog.signal-forge.app/posts/why-over-optimization-breaks-dsp-filters-in-production/An engineering analysis of why aggressively optimized DSP filters often fail in real-world systems, explaining numerical sensitivity, instability, and robustness tradeoffs.https://blog.signal-forge.app/posts/fixed-point-dsp-filter-stability/Thu, 19 Feb 2026 00:00:00 +0000https://blog.signal-forge.app/posts/fixed-point-dsp-filter-stability/A practical engineering framework for stability in embedded DSP filters: mathematical vs numerical vs system stability, high-Q IIR risk, fixed-point limit cycles, FIR vs IIR tradeoffs, and deployable decision rules.https://blog.signal-forge.app/posts/high-q-iir-notch-filter-instability-and-fix/Sun, 15 Feb 2026 00:00:00 +0000https://blog.signal-forge.app/posts/high-q-iir-notch-filter-instability-and-fix/High-Q IIR notch filters often become numerically unstable in real-world DSP systems. This article explains why instability happens and how deterministic coefficient synthesis prevents it.