This preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentThis preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
Unformatted text preview: t . 3. Find the bandwidth of the signal, Δ ω . You may want to use the time domain formula for the bandwidth. 4. How close is the answer to the theoretical lower bound? Explain why the answer is or is not close to the bound. ± ² ± ² Unifed Engineering II Spring 2004 Problem S2 2 (Signals and Systems) Consider a pulse similar to the LoranC pulse, given by 3 h ( t ) = t e − t/τ σ ( t ) sin(2 πft ) = g ( t ) w ( t ) where te − t/τ σ ( t ) g ( t ) = w ( t ) = sin(2 πft ) (a) Find the centroid of the pulse envelope, given by ¯ tg 2 ( t ) dt t = g 2 ( t ) dt (b) Find the duration of the envelope, given by ¯ ( t − t ) 2 g 2 ( t ) dt Δ t = 2 g 2 ( t ) dt (c) 1 2 g ˙ 2 ( t ) dt Δ ω = 2 g 2 ( t ) dt 1 2 (d) How does the durationbandwidth product compare to the theoretical minimum?...
View
Full Document
 Fall '05
 MarkDrela
 Aerospace Engineering, Aeronautics, Astronautics, Signal Processing, Independent films, Uniﬁed Engineering, Unified Engineering III

Click to edit the document details