DIGITAL SIGNAL PROCESSING Getting Around the Nyquist Limit

DIGITAL SIGNAL PROCESSING Getting Around the Nyquist Limit

E MBEDDED PC CIRCUIT MONTHLY SECTION CELLARINK® T H E C O M P U T E R A P P L I C A T I O N S J O U R N A L # 9 9 O C T O B E R 1 9 9 8 DIGITAL SIGNAL PROCESSING Getting Around the Nyquist Limit Doing Filters in Software Signal Conversion Basics PIC-Based Graphing Data Logger $3.95 U.S. $4.95 Canada TASK MANAGER Not Exactly a Binary World INK® verybody’s got their own way of looking at e things. Fortunately—yes, fortunately—we don’t all have exactly the same view of the world. It’s also T H E C O M P U T E R A P P L I C A T I O N S J O U R N A L pretty clear that INK caters to a select audience. Not EDITORIAL DIRECTOR/PUBLISHER ASSOCIATE PUBLISHER everybody, nor even every engineer, you meet designs or works with Steve Ciarcia Sue Skolnick embedded computer systems for a living. But here’s my point: Even within MANAGING EDITOR CIRCULATION MANAGER our narrow slice of the engineering universe, there are plenty of different Elizabeth Laurençot Rose Mansella perspectives. It’s not all black and white, ones and zeros. TECHNICAL EDITOR BUSINESS MANAGER Michael Palumbo Jeannette Walters Over ten years ago, when Steve started INK, he was crafting a WEST COAST EDITOR ART DIRECTOR publication for hands-on engineers. And while a significant percentage of Tom Cantrell KC Zienka readers have been there since Day 1 (and among them will be those who CONTRIBUTING EDITORS ENGINEERING STAFF call themselves experimenters as well as others who will vilify me for even Ken Davidson Jeff Bachiochi Fred Eady suggesting it), INK has offered such an excellent range of editorial material PRODUCTION STAFF over the years that its appeal now runs from systems designers in NEW PRODUCTS EDITOR Phil Champagne Harv Weiner John Gorsky multimillion-dollar companies, to EE university students, to the engineering James Soussounis PROJECT EDITOR entrepreneur starting a brand-new company (that one day may in fact Janice Hughes become one of those multimillion-dollar powerhouses), and beyond. EDITORIAL ADVISORY BOARD INK finds itself in a unique position, and faced with a unique problem: Ingo Cyliax Norman Jackson David Prutchi how to meet the needs of such a varied group. And I do mean needs. Cover photograph Ron Meadows—Meadows Marketing Nobody here is interested in putting together a magazine that gets tossed in PRINTED IN THE UNITED STATES the Freebies-To-Be-Read-Someday (yeah, right) pile. You pay for INK; you ADVERTISING should get a magazine you want to read. ADVERTISING SALES REPRESENTATIVE But, of course, there’s only so much that can fit in a print magazine Bobbi Yush Fax: (860) 871-0411 each month. That’s why Design Forum is on INK’s web site. It’s still in its (860) 872-3064 E-mail: [email protected] infancy, but you know, sometimes, the more you give, the more you get. ADVERTISING COORDINATOR Valerie Luster Fax: (860) 871-0411 INK gives you Internet access to design hints, feature articles, abstracts (860) 875-2199 E-mail: [email protected] submitted to INK’s design contests (most recently, Design98, cosponsored CONTACTING CIRCUIT CELLAR INK by Microchip), as well as monthly columns—and when you get inspired, SUBSCRIPTIONS: you give back. Becoming an active part of the larger community that INK is INFORMATION: www.circuitcellar.com or [email protected] TO SUBSCRIBE: (800) 269-6301 or via our editorial offices: (860) 875-2199 fostering guarantees you’ll find what you’re looking for. GENERAL INFORMATION: Design Forum is just one aspect of the growth here at INK. A new TELEPHONE: (860) 875-2199 FAX: (860) 871-0411 INTERNET: [email protected], [email protected], or www.circuitcellar.com editorial advisory board has started, with three experienced engineering EDITORIAL OFFICES: Editor, Circuit Cellar INK, 4 Park St., Vernon, CT 06066 professionals—Ingo Cyliax, Norman Jackson, and David Prutchi—keeping AUTHOR CONTACT: E-MAIL: Author addresses (when available) included at the end of each article. their eyes and ears open for the kinds of editorial you’re interested in. And ARTICLE FILES: ftp.circuitcellar.com although Ken moved on a couple months ago, he didn’t go all that far: he For information on authorized reprints of articles, still proofreads every article and helps with Design Forum editorial. Janice, contact Jeannette Walters (860) 875-2199. too, has shifted roles. After doing a stellar management job for the past two CIRCUIT CELLAR INK®, THE COMPUTER APPLICATIONS JOURNAL (ISSN 0896-8985) is published monthly by Circuit Cellar Incorporated, 4 Park Street, Suite 20, Vernon, CT 06066 (860) 875-2751. Periodical rates paid at years, she is now our Project Editor, helping with Internet editorial, as well Vernon, CT and additional offices. One-year (12 issues) subscription rate USA and possessions $21.95, as serving as a resource for special projects. Canada/Mexico $31.95, all other countries $49.95. Two-year (24 issues) subscription rate USA and possessions $39, Canada/Mexico $55, all other countries $85. All subscription orders payable in U.S. funds So, while INK is committed to its focus on providing high-quality only via VISA, MasterCard, international postal money order, or check drawn on U.S. bank. engineering editorial, it’s clear that we are determined to offer you a wider Direct subscription orders and subscription-related questions to Circuit Cellar INK Subscriptions, P.O. Box 698, Holmes, PA 19043-9613 or call (800) 269-6301. range of opportunities to experience it. No question: in the computing world, Postmaster: Send address changes to Circuit Cellar INK, Circulation Dept., P.O. Box 698, Holmes, PA 19043-9613. ones and zeros are a big part of the picture, but there’s a lot of value lurking Circuit Cellar INK® makes no warranties and assumes no responsibility or liability of any kind for errors in these in the middle. Take advantage of it. programs or schematics or for the consequences of any such errors. Furthermore, because of possible variation in the quality and condition of materials and workmanship of reader-assembled projects, Circuit Cellar INK® disclaims any responsiblity for the safe and proper function of reader-assembled projects based upon or from plans, descriptions, or information published in Circuit Cellar INK®. Entire contents copyright © 1998 by Circuit Cellar Incorporated. All rights reserved. Circuit Cellar INK is a registered trademark of Circuit Cellar Inc. Reproduction of this publication in whole or in part without written consent from Circuit [email protected] Cellar Inc. is prohibited. 2 Issue 99 October 1998 Circuit Cellar INK® X-Y Graphing Data Logger 12 Alberto Ricci Bitti Time-Domain Filter Simulations Using C++ 24 Glenn Parker Breaking Nyquist—Post-Sampling Antialiasing 30 Gerard Fonte Digital Frequency Synthesis 36 Tom Napier I MicroSeries 68 Digital Processing in an Analog World Part 1: Basic Issues David Tweed 76 I From the Bench Task Manager MIDI 2 Part 1: It Ain’t Just for Music Anymore Elizabeth Laurençot Jeff Bachiochi Not Exactly a Binary World 80 I Silicon Update Reader I/O 6 MegaMicro Card Tom Cantrell New Product News 8 edited by Harv Weiner Advertiser’s Index/ 95 INSIDE November Preview Priority Interrupt 96 Steve Ciarcia ISSUE Banking on Bugs 44 Nouveau PC PC edited by Harv Weiner 9999 48 Networking with DeviceNet Part 2: A Weather-Station Application Jim Brady 55 RPC Real-Time PC The Need for Speed RTOS and PC/104 Ingo Cyliax 61 APC Applied PCs RF and Micros Part 2: A Low-Power System MBEDDED Fred Eady E Circuit Cellar INK® Issue 99 October 1998 3 READER I/O AN ANALOG EYE ON DIGITAL DESIGN the static correction factor were applied as the digital I am an analog-oriented EE, and Mike Smith’s article sum of the static trip point, and then the correction (“Unplanned Calibration Errors in Embedded Systems,” factor, calculated on bootup, and the resulting static INK 96) gave me an appreciation of the design consid- digital reference stored for comparison with the digi- erations for a software program for a digital instrument. tized transducer data? One would design an analog instrument to handle fail- I’m sure you agree that when the failure of a design safe conditions for all potential situations. The software could mean jail, or the poorhouse, the redundancy level code, its syntax, and the compilers used to mechanize for each catastrophic failure mode would be doubled or code handling add layers of potential ambiguity. tripled, or pass the job. I’m not denigrating digital In analog design, the simplest approach is usually design, but I want to point that it has peculiarities to the best, and I expect that it’s likewise in digital design. be considered. I think your examples were picked to be a demonstra- tion for your article, and it worked. Tom Callahan As an analog guy, I would be more likely to enter [email protected] the correction factor/calibration error for the trans- ducer at a summing junction, with the reference trip level for the fail safe at the low/high trip, to generate Editor’s note: A corrected version of Figure 1 from a signal to be subsequently summed with that of the “Automotive Travel Computer” (INK 98, p. 67) is conditioned transducer signal to generate a trip alarm. available as a downloadable PDF file on the Circuit I would think that, in a software design review, the Cellar web site at ftp://ftp.circuitcellar.com/CCINK/ software would be simpler, more reliable, and faster if 1998/Issue_98/correction.zip.

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