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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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Rights
Attribution-NonCommercial-NoDerivatives 4.0 International