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Numerical Concepts & IQmath

Introduction

In this module, numerical concepts will be explored. One of the first considerations concerns

multiplication – how does the user store the results of a multiplication, when the process of mul-

tiplication creates results larger than the inputs. A similar concern arises when considering accu-

mulation – especially when long summations are performed. Then, IQmath will be described as a

technique for implementing a “virtual floating-point” system to simplify the design process.

The IQmath Library is a collection of highly optimized and high precision mathematical

functions used to seamlessly port floating-point algorithms into fixed-point code. These C/C++

routines are typically used in computationally intensive real-time applications where optimal

execution speed and high accuracy is needed. By using these routines a user can achieve

execution speeds considerable faster than equivalent code written in standard ANSI C language.

In addition, by incorporating the ready-to-use high precision functions, the IQmath library can

shorten significantly a DSP application development time. (The IQmath user's guide is included

in the application zip file, and can be found in the /docs folder once the file is extracted and

installed).

Learning Objectives



Compare/contrast integer and

fractional operations



Discuss fixed

point math

development limitations



Compare/contrast floating

point and

IQ representation



Describe the

IQmath

approach and

the problem it solves

C28x - Numerical Concepts & IQmath 8 - 1

Texas Instruments C28 Series Student Guide

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