Note to class 19Feb09

# Note to class 19Feb09 - Properties 29 29 29 29 t j e X W t...

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February 19, 2009 For the quiz tomorrow you need to memorize the following eight transforms and properties, discussed in Wednesday’s lecture and covered on A#09. As in the past, the quiz will cover these new topics as well as review some old topics. Fourier Transforms ( 29 ( 29 ( 29 ϖ j a X t u e t x at + = = - 1 ( 29 ( 29 ( 29 ( 29 πδ + = = j X t u t x 1 ( 29 ( 29 ( 29 1 = = δ X t t x ( 29 ( 29 ( 29 1 1 1 sinc 2 , 0 , 1 T T X else T t t x = < = (a rectangular pulse)
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Unformatted text preview: Properties ( 29 ( 29 ( 29 ( 29 t j e X W t t x t w-= ↔-= ( 29 ( 29 ( 29 ( 29 X j W dt t dx t w = ↔ = ( 29 ( 29 ( 29 ( 29 ( 29 π τ X d j W d x t w t ⋅ + = ↔ = ∫ ∞-1 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 Y X W t y t x t w ⋅ = ↔ =...
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## This note was uploaded on 05/03/2009 for the course ECSE 2410 taught by Professor Wozny during the Spring '07 term at Rensselaer Polytechnic Institute.

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