ECE366_summer09_hw3 - output and x(t) is the system input...

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ECE 366 Introduction to Signal Processing, Summer 09 Homework Assignment 3 Due on 06/15 1. Consider an LTI system whose response to the signal ) ( 1 t x is the signal ) ( 1 t y , where these signals are depicted below(20 pts): Determine and provide a labeled sketch of the response to the input ) ( 2 t x depicted below. 2. In this week, we introduced a number of general properties of systems. In particular, a system may or may not be: (a) Memoryless (b) Time invariant (c) Linear (d) Causal (e) Stable Determine which of these properties hold and which do not hold for each of the following continuous-time systems. Justify your answers. In each example, y(t) denotes the system
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Unformatted text preview: output and x(t) is the system input (50 pts). (2.1) y(t) = x(t-2) + x(1-t) (2.2) y(t) = x(t)cos(2t+3) (2.3) y(t) = x(at), a>1 (2.4) y(t) = ) ( t x e (2.5) y(t) = x(t)tu(t) 3. Simplify the following expressions: (15 pts) (3.1) ) ( 1 ) cos( 2 t t t + (3.2) ) 1 ( 3 )] 4 1 ( sin[ 3 t t t + (3.3) d t x ) ( ) ( (3.4) d e t ) ( 2 4. Read Lathi Textbook MATLAB Session 1: Working with Functions (p131, 2 nd edition), redo what the textbook did, regenerate figures M1.1 to M1.8. Submit your MATLAB codes with the figures. (15 pts)...
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This note was uploaded on 09/08/2009 for the course ECE 366 taught by Professor Staff during the Summer '08 term at Michigan State University.

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ECE366_summer09_hw3 - output and x(t) is the system input...

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