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Article #2420

Sine Waves & Harmonic Dist-Help

#2420
From: Michael S. Schechter - ISR group...
Date: Tue, 09 Jan 1990 17:29
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Thanks to those of you who responded about my question
concerning interpolation of sines. After thinking on the problem
further, I realized that one of those things from way way back in
school may be useful and looked at the Taylor series. It looks
like by using it to directly generate values, I can generate a
5-term x,x3,x5,x7,x9 series faster than I could interpolate, and
in any case, easily fast enough to get 16 samples/cycle at 20kHz.
(one of the specs).
This 5-term series has a worst-case error of 4e-6 from "correct"
values over the range 0->pi/2. 
**** New Question ****
  Does this error (4e-6) indicate a signal-to-harmonic ratio of
about 103 dB ?? (I'm trying to get >100 dB)
  or, is the relationship very complicated?

Thanks, Mike.    isr@rodan.acs.syr.edu
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From: isr@rodan.acs.syr.edu (Michael S. Schechter - ISR group account)
Newsgroups: comp.dsp
Subject: Sine Waves & Harmonic Dist-Help
Message-ID: <1701@rodan.acs.syr.edu>
Date: 9 Jan 90 17:29:17 GMT
Sender: isr@rodan.acs.syr.edu
Reply-To: isr@rodan.acs.syr.edu (Michael S. Schechter - ISR group account)
Organization: Institute for Sensory Research
Lines: 16