s22_ps14_spring04

s22_ps14_spring04 - Unified Engineering II Spring 2004...

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Unformatted text preview: Unified Engineering II Spring 2004 Problem S2 2 (Signals and Systems) Consider a pulse similar to the Loran­C pulse, given by h(t) = t3 e−t/τ σ (t) sin(2πf t) = g (t)w(t) where g (t) = te−t/τ σ (t) w(t) = sin(2πf t) (a) Find the centroid of the pulse envelope, given by �2 tg (t) dt ¯ t= � 2 g (t) dt (b) Find the duration of the envelope, given by �� Δt = 2 ¯ (t − t)2 g 2 (t) dt � g 2 (t) dt �1 2 (c) �� 2 �1 g (t) dt 2 ˙ Δω = 2 � 2 g (t) dt (d) How does the duration­bandwidth product compare to the theoretical minimum? ...
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This note was uploaded on 01/28/2012 for the course AERO 16.01 taught by Professor Markdrela during the Fall '05 term at MIT.

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