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Simple Concepts Explained: Fixed-Point

Simple Concepts Explained: Fixed-Point

Leandro Stefanazzi
TimelessIntermediate

IntroductionMost signal processing intensive applications on FPGA are still implemented relying on integer or fixed-point arithmetic. It is not easy to find the key ideas on quantization, fixed-point and integer arithmetic. In a series of...


Summary

Leandro Stefanazzi presents a practical introduction to fixed-point and integer arithmetic for FPGA-based DSP, covering quantization, Q-formats, and common implementation pitfalls. Readers will gain hands-on guidance for designing fixed-point filters, FFTs, and data paths that balance precision, resource usage, and performance.

Key Takeaways

  • Understand Q-format notation and choose appropriate word lengths for signals and coefficients.
  • Analyze quantization noise and perform SNR/dynamic-range budgeting to meet system specs.
  • Apply overflow, rounding, and scaling strategies to avoid saturation and minimize error.
  • Design fixed-point implementations of filters and FFTs and evaluate resource vs. accuracy trade-offs.

Who Should Read This

DSP engineers and FPGA designers with some DSP background who need practical, implementable guidance on fixed-point arithmetic for audio, radar, or communications systems.

TimelessIntermediate

Topics

Real-Time DSPFilter DesignFFT/Spectral AnalysisCommunications

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