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Subject: Re: [music-dsp] Anyone using Chebyshev polynomials to approximate
trigonometric functions in FPGA DSP
From: "Bogac Topaktas" <bo...@bteaudio.com>
Date: Wed, January 20, 2016 6:12 pm
To: music-dsp@music.columbia.edu
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On 21/01/2016 2:36 PM, robert bristow-johnson wrote:
> i thought i understood Tchebyshev polynomials well. including their
> trig definitions (for |x|<1), but if what you're trying to do is
> generate a sinusoid from polynomials, i don't understand where the
> "Tchebyshev" (with or without the
Original Message
Subject: Re: [music-dsp] Anyone using Chebyshev polynomials to approximate
trigonometric functions in FPGA DSP
From: "Ross Bencina" <rossb-li...@audiomulch.com>
Date: Wed, January 2
nsion should resemble the
optimal polynomial.
E
On Wed, Jan 20, 2016 at 10:32 PM, robert bristow-johnson <
r...@audioimagination.com> wrote:
>
>
> Original Message --------
> Subject: Re: [music-dsp] Anyone using Chebys
Original Message
Subject: Re: [music-dsp] Anyone using Chebyshev polynomials to approximate
trigonometric functions in FPGA DSP
From: "Ethan Duni" <ethan.d...@gmail.com>
Date: Thu, January 21, 2016 2:34 am
To: &q
Jack Crenshaw's book "Math Toolkit for Real-Time Programming"
contains all the information you need: "Chapter 5 - Getting the
Sines Right" provides theory and practice of approximating
sines & cosines with various methods including Chebyshev polynomials.
Another good resources is Jean-Michel
Chebyshev is indeed a decent way to approximate trig from what I've read. (
http://www.embeddedrelated.com/showarticle/152.php)
Did you know that rational quadratic Bezier curves can exactly represent
conic sections, and thus give you exact trig values? You essentially
divide one quadratic
Years ago I attended a talk on Chebyshev polynomials and someone asked if
they could be used to approximate trig functions. My memory is hazy at
best, but here's what I recall: the answer was something like "you could,
but it would be very slow, so in practice I think that would be a bad
idea".
Hi all,
Maybe a bit forward, but hey, there are PhDs here, too, so here it goes: I've played a
little with the latest Vivado HLx design tools fro Xilinx FPGAs and the cheap Zynq
implementation I use (a Parallella board), and I was looking for interesting examples to
put in C-to_chip compiler
Sorry, my previous message got truncated for some reason.
On 20/01/2016 5:56 AM, Alan Wolfe wrote:
Did you know that rational quadratic Bezier curves can exactly represent
conic sections, and thus give you exact trig values?
As Andrew said, the curve lies on a conic section, but the
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