Fixed-Point Arithmetic: An Introduction
This document presents definitions of signed and unsigned fixed-point binary number representations and develops basic rules and guidelines for the manipulation of these number representations using the common arithmetic and logical operations found in fixed-point DSPs and hardware components.
Summary
This paper defines signed and unsigned fixed-point binary representations and gives practical rules for manipulating them with common arithmetic and logical operations used in DSP hardware. Readers will learn how to represent, scale, and operate on fixed-point numbers to avoid overflow and manage precision in real-world implementations.
Key Takeaways
- Explain Q-format and other fixed-point representations and convert between common formats
- Apply scaling, normalization, and saturation strategies to control overflow and underflow
- Calculate bit growth and quantization effects for addition, multiplication, and shifts
- Implement fixed-point versions of core DSP operations and estimate precision/quantization noise
Who Should Read This
Embedded DSP engineers, algorithm developers, and graduate students implementing DSP algorithms on fixed-point processors who need practical rules for safe, efficient numeric implementation.
TimelessIntermediate
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