Yay, calculus on the LUG list! Yes. There are several ways to approximate that kind of error, aka a remainder term. Taylor series expansion comes to mind. Bump functions or possibly regression of some form or another. I'm not sure which function you want to compare sine to; a function and its parameters tend to dictate which approximation and error term you use. I think I heard box or square wave, maybe some Fourier Series action might be useful (http://bit.ly/aonDK). With something as popular as electronics, I would suspect such a calculation has been made, if it is useful.
Chris... On Thu, Jun 4, 2009 at 7:29 AM, David Kaiser <[email protected]> wrote: > So, then, maybe the question should be: To what degree or resolution is > the "stepping" or "squareness" permittable. Is there some calculus > or something that I can use to say "this much" approximation is as > good as a mathematically pure sine wave? > > On 6/4/2009, "Todd Lyons" <[email protected]> wrote: > >>On Wed, Jun 3, 2009 at 6:34 PM, Jeff Lasman <[email protected]> wrote: >>> Good info here: >>> http://sci.tech-archive.net/Archive/sci.electronics.design/2005-02/5165.html >>> But that was 2005, this is 2009, and UPSes using stepped square waves >>> come with $10,000 equipment warranty. >>> So have things (like design issues) fundamentally changed? >> >>Everything modern uses high frequency switching power supplies (unless >>you're like Gibson and got a PDP-8 :-). So when you talk about >>stepped square waves, are you talking about PWM (Pulse Width >>Modulated) output? That's par for the course nowadays. >> >>-- >>Regards... Todd >>_______________________________________________ >>LinuxUsers mailing list >>[email protected] >>http://socallinux.org/cgi-bin/mailman/listinfo/linuxusers > _______________________________________________ > LinuxUsers mailing list > [email protected] > http://socallinux.org/cgi-bin/mailman/listinfo/linuxusers > -- "As we open our newspapers or watch our television screens, we seem to be continually assaulted by the fruits of Mankind's stupidity." -Roger Penrose
