. The Bell System technical journal . -applying an infinite secjuence of rectangular pulses of equal amplitudesAvith spacing T to a resonant circuit. Triggering Instants With a pulse shape and retiming wave as assumed above, the resul-tant wave is given by Pit) + Rit) = 1 1 + cos-- cos yp 1 - COs(27r- - \l/ () This wave is shoA\ii in Fig. 3 for xj/ = 0 and ±60°. For i^ = ±90° theretiming wave disappears, so that the combined wave is P{t).. cos p 2 1-cos [zrr Y - ¥] Fig. 3 — Illustrative example of j)ulse shape and retiming wave. SELF-TIMING REGENERATIVE REPEATERS 903 The triggering inst
. The Bell System technical journal . -applying an infinite secjuence of rectangular pulses of equal amplitudesAvith spacing T to a resonant circuit. Triggering Instants With a pulse shape and retiming wave as assumed above, the resul-tant wave is given by Pit) + Rit) = 1 1 + cos-- cos yp 1 - COs(27r- - \l/ () This wave is shoA\ii in Fig. 3 for xj/ = 0 and ±60°. For i^ = ±90° theretiming wave disappears, so that the combined wave is P{t).. cos p 2 1-cos [zrr Y - ¥] Fig. 3 — Illustrative example of j)ulse shape and retiming wave. SELF-TIMING REGENERATIVE REPEATERS 903 The triggering instants ^o are obtained from the relation P{to) + Rito) = L. () With complete retiming the optimum performance, with positive andnegative noise amplitudes of cfjual probabilities, is obtained with atriggering level ^. With partial retiming, optimum performance is ob-tained with a somewhat lower triggering level, but this is of secondaryimportance in connection with the present analysis. For this reasonL = ^ is assumed, in which case the following equation is obtained fordetermination of ^o : TT to , cos - ^ — COS \p 1 — COS I 2ir r = 0 () • \ ,^ ■ > N, />J / / \ / -X /to L 7 \ .^ JL-. ? s \ / / f N. ^^^. :\ k N K t / 1 / / ^^x ^C --.^ 1 /I 1 4 , -J^ ^<rl \ \ \ \ \ T ■ -90 -75 -60 -45 -30 -15 0 15 30 45 60 75 90 PHASE S
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Keywords: ., bookcentury1900, bookdecade1920, booksubjecttechnology, bookyear1
