Integer Arithmetic Intel® FPGA IP Cores User Guide

ID 683490
Date 4/01/2024
Document Table of Contents

12.2. Canonical Representation

From Complex Multiplication equation in Figure 25, the multiplication of two complex numbers can be represented in two parts: real and imaginary.

The following equation shows that the xy_real variable represents real representation.
Figure 26. Real Representation

The following equation shows that the xy_imaginary variable represents imaginary representation.
Figure 27. Imaginary Representation

Both equations derived from Complex Multiplication equation.

Note: The canonical representation is available for all supported Intel® devices prior to Stratix III devices.