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Unformatted text preview: Due Fri 02/02/07 3(15). In this problem we would like to demonstrate that if ) ( ) ( ) ( t h t x t y ∗ = , then ) ( ) 2 ( ) ( 1 t h t x t y ∗ − = , equals . In words, if ) 2 ( ) ( 1 − = t y t y one of the signals in a convolution is shifted, then the resulting convolution is also shifted in the same way. (a)(7) Find and sketch the output ) ( ) ( ) ( t h t x t y ∗ = of the system whose impulse response and input are shown below. x ( t ) h ( t ) 2 1 t 1 0 1 t 0 1 2 (b)(7) Using convolution, find and sketch the output ) ( ) 2 ( ) ( 1 t h t x t y ∗ + = . (c)(1) From your sketches is it true that ) 2 ( ) ( 1 + = t y t y ? 4(10). 5(15). 6(15)....
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This note was uploaded on 04/10/2008 for the course ECSE 2410 taught by Professor Wozny during the Spring '07 term at Rensselaer Polytechnic Institute.
- Spring '07