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The TMS320 Family ofDigital Signal

Processors

APPLICATION REPORT: SPRA396

Kun-Shan LinGene A. FrantzRay Simar, Jr.Digital Signal Processor ProductSemiconductor GroupTexas Instruments

Digital Signal Processing Solutions

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IMPORTANT NOTICE

Texas Instruments (TI) reserves the right to make changes to its products or to discontinue anysemiconductor product or service without notice, and advises its customers to obtain the latest version ofrelevant information to verify, before placing orders, that the information being relied on is current.

TI warrants performance of its semiconductor products and related software to the specifications applicableat the time of sale in accordance with TIs standard warranty. Testing and other quality control techniquesare utilized to the extent TI deems necessary to support this warranty. Specific testing of all parameters ofeach device is not necessarily performed, except those mandated by government requirements.

Certain application using semiconductor products may involve potential risks of death, personal injury, orsevere property or environmental damage (Critical Applications).

TI SEMICONDUCTOR PRODUCTS ARE NOT DESIGNED, INTENDED, AUTHORIZED, OR WARRANTEDTO BE SUITABLE FOR USE IN LIFE-SUPPORT APPLICATIONS, DEVICES OR SYSTEMS OR OTHERCRITICAL APPLICATIONS.

Inclusion of TI products in such applications is understood to be fully at the risk of the customer. Use of TIproducts in such applications requires the written approval of an appropriate TI officer. Questions concerningpotential risk applications should be directed to TI through a local SC sales office.

In order to minimize risks associated with the customers applications, adequate design and operatingsafeguards should be provided by the customer to minimize inherent or procedural hazards.

TI assumes no liability for applications assistance, customer product design, software performance, orinfringement of patents or services described herein. Nor does TI warrant or represent that any license,either express or implied, is granted under any patent right, copyright, mask work right, or other intellectualproperty right of TI covering or relating to any combination, machine, or process in which suchsemiconductor products or services might be or are used.

Copyright 1997, Texas Instruments Incorporated

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TRADEMARKS

TI is a trademark of Texas Instruments Incorporated.

Other brands and names are the property of their respective owners.

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CONTACT INFORMATION

US TMS320 HOTLINE (281) 274-2320

US TMS320 FAX (281) 274-2324

US TMS320 BBS (281) 274-2323

US TMS320 email dsph@ti.com

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The TMS320 Family of Digital Signal Processors 5

The TMS320 Family of Digital SignalProcessors

Abstract

The introduction of the TMS320C30 Digital Signal Processor, afloating-point 33-MFLOP device, allows users to represent multi-length floating-point math in terms of single length floating-pointmath. This allows applications which need this type of power(digital filtering, image processing, FFTs, etc.) to be much moreaccurate. This chapter explains how to extend the availableprecision of floating-point arithmetic on the TMS320C30. It isorganized as follows:

q A description of the TMS320C30 DSP floating-point numberrepresentation

q A discussion of doublelength arithmetic and some basicdefinitions

q A discussion of the algorithms used along with theTMS320C30 implementation

q Error analysis

q Information about generating C-callable functions fromassembly language routines

Accompanying graphics illustrate

q Single precision floating point format of the TMS320C30

q Singlelength and doublelength addition

q Singlelength and doublelength procude

q Doublelength quotient and square root

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SPRA396

6 The TMS320 Family of Digital Signal Processors

The chapter closes with a summary, a list of references, and threeappendices which provide source listings for the extended-precision arithmetic.

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SPRA396

The TMS320 Family of Digital Signal Processors 7

Product Support

World Wide Web

Our World Wide Web site at www.ti.com contains the most up todate product information, revisions, and additions. Usersregistering with TI&ME can build custom information pages andreceive new product updates automatically via email.

Email

For technical issues or clarification on switching products, pleasesend a detailed email to (dsph@ti.com). Questions receive promptattention and are usually answered within one business day.

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