sine

DSP Trick: Simultaneous Parabolic Approximation of Sin and Cos

From: Olli Niemitalo (oniemita@mail.student.oulu.fi)
Subject: Trick: Simultaneous parabolic approximation of sin and cos
Newsgroups: comp.dsp
Date: 2001-06-30 05:15:09 PST

Name: Simultaneous parabolic approximation of sin and cos

DSP Trick: Sinusoidal Tone Generator

Subject: Trick : Tone Generation
From: Darrell <darrell@havoc.gtf.org>
Date: 1999/04/19
Newsgroups: comp.dsp
THIS WORK IS PLACED IN THE PUBLIC DOMAIN

Name: Sinusoidal tone generator

Category: Algorithm

Application: If they need to generate a continuous tone of specific frequency and amplitude.

Advantages: Fast and accurate.

Introduction:

I've seen this trick in a few different places, although never the (very simple) deriviation.

How to Create Oscillators in Software

How to Create Oscillators in Software

by Matt Donadio


Oscillators can be created in software directly, using the "sine" function, or they can be calculated indirectly using several different iterative methods. We survey those methods here.

Notation:

First, let's assume that:

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