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AuthorBenammar M.
AuthorAlassi A.
AuthorGastli A.
AuthorBen-Brahim L.
AuthorTouati F.
Available date2020-04-01T06:50:40Z
Publication Date2019
Publication NameSensors (Switzerland)
ISSN14248220
URIhttp://dx.doi.org/10.3390/s19235148
URIhttp://hdl.handle.net/10576/13601
AbstractFast and accurate arctangent approximations are used in several contemporary applications, including embedded systems, signal processing, radar, and power systems. Three main approximation techniques are well-established in the literature, varying in their accuracy and resource utilization levels. Those are the iterative coordinate rotational digital computer (CORDIC), the lookup tables (LUTs)-based, and the rational formulae techniques. This paper presents a novel technique that combines the advantages of both rational formulae and LUT approximation methods. The new algorithm exploits the pseudo-linear region around the tangent function zero point to estimate a reduced input arctangent through a modified rational approximation before referring this estimate to its original value using miniature LUTs. A new 2nd order rational approximation formula is introduced for the first time in this work and benchmarked against existing alternatives as it improves the new algorithm performance. The eZDSP-F28335 platform has been used for practical implementation and results validation of the proposed technique. The contributions of this work are summarized as follows: (1) introducing a new approximation algorithm with high precision and application-based flexibility; (2) introducing a new rational approximation formula that outperforms literature alternatives with the algorithm at higher accuracy requirement; and (3) presenting a practical evaluation index for rational approximations in the literature. - 2019 by the authors. Licensee MDPI, Basel, Switzerland.
SponsorFunding: The publication of this article was funded by the Qatar National Library.
Languageen
PublisherMDPI AG
SubjectArctangent approximation
SubjectCORDIC
SubjectLook-up-tables
SubjectMinimax optimization
SubjectNovel algorithm
SubjectPosition sensors
SubjectRational approximations
SubjectSignals processing
TitleNew fast arctangent approximation algorithm for generic real-time embedded applications
TypeArticle
Issue Number23
Volume Number19


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