This preview shows page 1. Sign up to view the full content.
Unformatted text preview: R 12 ( τ )] = G 1 ( w ) G * 2 ( w ) 6. We know that e-| t | FT ↔ 2 1 + ω 2 Now use an appropriate property of FT to ﬁnd the FT of te-| t | . 7. Let y ( t ) = ( x ( t ) cos 2 ( t )) ⊗ sin ( t ) πt Assume that X( ω ) = 0 for | ω |≥ 1. Show that ∃ a linear time invariant system h ( t ), such that y ( t ) = x ( t ) ⊗ h ( t ). Find h ( t ). (Here ⊗ stands for convolution operator). 8. Let x(t) FT ↔ X( ω ). Show that Z t-∞ x ( τ ) dτ FT ↔ X ( ω ) jω + X (0) δ ( ω ) ....
View Full Document
This note was uploaded on 02/01/2012 for the course EE 210 taught by Professor Prof.h.narayanan during the Spring '07 term at IIT Bombay.
- Spring '07