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Henry
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Are pulse shaping and windowing functions the same in concept?

edited title
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Henry
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Is Are pulse shaping and windowing functions the same?

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Henry
  • 227
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Is pulse shaping and windowing functions the same?

I read a digital communication problem and they interchange terms as windowing function and pulse shaping and refer to it as same entity. For example the following windowing function with Transition time $T_R$ used to smooth transitions between symbols is also refered to as pulse shaping

$w_T(t)= \left\{ \begin{array}{ll} \sin^2(\frac{\pi}{2}(0.5+\frac{t}{T_{TR}})) & \mbox{if $-T_{TR}/2 < t<T_{RT}/2$};\\ 1 & \mbox{if $T_{TR}/2 < t<T-T_{TR}/2$}\\ \sin^2(\frac{\pi}{2}(0.5-\frac{t-T}{T_{TR}})) & \mbox{if $T-T_{TR}/2 < t<T+T_{TR}/2$};\\ \end{array} \right. $

My understanding is that a pulse shaping function limits signal bandwidth to transmission bandwidth.

How come the two are refered to as same?

Thanks