Locations and amplitudes of the extrema of the sinx/x function |
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Authors: | J Le Bihan |
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Institution: | (1) Laboratoire RESO, Technopôle, Ecole Nationale d'Ingénieurs de Brest, Brest-Iroise CP 15, 29608 Brest cedex, France |
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Abstract: | This paper addresses the calculation of the extrema of the sin x/x function. First the Newton-Raphson method is used, which allows us to obtain the extrema locations very fast through the use of a recursion formula. Then a second approach is proposed, which gives the extrema locations and the extrema amplitudes in the form of series expansions. Simple, accurate algebraic expressions are derived. |
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