A#02 - Assignment #02 p.1 ECSE-2410 Signals & Systems -...

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Assignment #02 – p.1 ECSE-2410 Signals & Systems - Spring 2009 Due Tue 01/20/09 1(40). Evaluate: (a) (b) (c) (d) . ττ δ τ d e t ) 1 ( d u e t ) ( d e ) 2 ( + d u u e ) 1 ( ) ( - 2(30). Given signal 2 1 x ( t ) 1 t -1 0 (a) Express ( ) t x in terms of step and ramp functions. (b) find the equation for the derivative, () ( ) dt t dx t w . = (c) Sketch ( ) t w 3(20). Using the basic definitions of linearity and/or time-invariance, verify that (a) system () ( ) 1 2 = t x t t y is linear. x ( t ) y ( t ) System (b) system is time-invariant. 2 2 = t x t y 4(20). The output of the LTI system is ( ) t y , when the input is ( ) t x , as shown. 01 2 y ( t ) t 1 2 3 x ( t ) t 1 0 1 LTI Use superposition to graph the output of this system when the input is 0 1 2 x ( t ) t 1
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Assignment #02 – p.2 ECSE-2410 Signals & Systems - Spring 2009 Due Tue 01/20/09 5( ). In this problem you will find the approximate system response to a pulse input, , as a means of understanding the derivation of the basic convolution equation.
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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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A#02 - Assignment #02 p.1 ECSE-2410 Signals & Systems -...

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