Title :
Efficient recursive relations and accurate algebraic expressions for computing extrema of (sin x/x)/sup r/
Author_Institution :
Lab. RESO, Ecole Nationale d´Ingenieurs de Brest, France
Abstract :
The locations and amplitudes of the extrema of the (sin x/x)/sup r/ function, when expressed under the form of series expansions, can be calculated very quickly through a straightforward recursion formula. Moreover, very simple accurate algebraic expressions are given for evaluating these locations and amplitudes.
Keywords :
Fourier transforms; approximation theory; series (mathematics); signal processing; (sin x/x)/sup r/ function extrema; Fourier transform; accurate algebraic expressions; amplitudes; approximate algebraic expressions; efficient recursive relations; identical rectangular pulses; locations; recursion formula; series expansions; signal processing; sin x/x function extrema;
Journal_Title :
Electronics Letters
DOI :
10.1049/el:20020967
