3015_Discussion_10_Solutions

3015_Discussion_10_Solutions - University of Minnesota...

Info iconThis preview shows pages 1–3. Sign up to view the full content.

View Full Document Right Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: University of Minnesota Dept. of Electrical and Computer Engineering EE3015 – Signals and Systems Discussion Session #10: Applications of Fourier representations 1. Consider the system depicted below. The input signal x ( t ) has a Fourier Transform (FT) X ( j ω ) also shown below. Signal ) ( t x is multiplied by ) ( t p , which is a periodic signal with period T , fundamental frequency W T 2 / 2 > = π ω , and 4 / 1 / = T T . a. Find and sketch P ( j ω ), the FT of p ( t ) In class, we showed that the FS coefficients of p ( t ) are given by π ω k T k a t p k FS ) sin( ) ( = ⎯→ ← The FT of p ( t ) is then given by ∑ ∑ ∞ −∞ = ∞ −∞ = − = − ⎯ ⎯→ ← k k k FT k k T k k a t p ) ( ) sin( 2 ) ( 2 ) ( ω ω δ ω ω ω δ π Which results in x ( t ) p ( t ) h ( t ) v ( t ) y ( t ) ω 1 X ( j ω ) -W W t 1 p ( t ) … … -2T 2 3 T −-T 2 T −-T T 2 T T 2 3 T 2T b. Sketch V ( j ω ), the FT of v ( t ) Using the multiplication property: ) ) ( ( ) sin( ) (...
View Full Document

This note was uploaded on 12/20/2009 for the course EE 3015 taught by Professor Staff during the Fall '08 term at Minnesota.

Page1 / 5

3015_Discussion_10_Solutions - University of Minnesota...

This preview shows document pages 1 - 3. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online