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Circuits designed to evaluate the cosine and sine functions on the interval −π to π Bobowski, Jake S.
Abstract
We present a pair of simple analog circuits designed to evaluate the cosine and sine of an input voltage that varies between −π and +π V. The circuit designs are based off of the Taylor series expansions of cos x and sin x about x = 0 (i.e. Maclaurin series expansions). For cos x and sin x, the series are truncated after the x6 and x5 terms, respectively. The coefficients of the various powers of x in the truncated series are fine tuned in order to give the best possible approximations to the trigonometric functions. The circuits are implemented using low-cost analog multiplier and operational amplifier integrated circuits.
Item Metadata
Title |
Circuits designed to evaluate the cosine and sine functions on the interval −π to π
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Creator | |
Date Issued |
2023
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Description |
We present a pair of simple analog circuits designed to evaluate the cosine and sine of an input voltage that
varies between −π and +π V. The circuit designs are based off of the Taylor series expansions of cos x and
sin x about x = 0 (i.e. Maclaurin series expansions). For cos x and sin x, the series are truncated after the x6
and x5 terms, respectively. The coefficients of the various powers of x in the truncated series are fine tuned
in order to give the best possible approximations to the trigonometric functions. The circuits are implemented
using low-cost analog multiplier and operational amplifier integrated circuits.
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Genre | |
Type | |
Language |
eng
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Date Available |
2023-06-20
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Provider |
Vancouver : University of British Columbia Library
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Rights |
Attribution-NonCommercial-NoDerivatives 4.0 International
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DOI |
10.14288/1.0433568
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URI | |
Affiliation | |
Peer Review Status |
Unreviewed
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Scholarly Level |
Faculty
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Rights URI | |
Aggregated Source Repository |
DSpace
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Item Citations and Data
Rights
Attribution-NonCommercial-NoDerivatives 4.0 International