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

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
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)
Background image of page 1
This is the end of the preview. Sign up to access the rest of the document.

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 ⋅ = ↔ =...
View Full Document

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.

Ask a homework question - tutors are online