HW3.pdf - ECE 301 Homework 3 Introduction to System Due Date 14th 7th February 1 Consider a system that multiplies a given input by a function g(t = t 2

# HW3.pdf - ECE 301 Homework 3 Introduction to System Due...

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ECE 301 Homework 3 Introduction to System Due Date : 7 th February 1. Consider a system that multiplies a given input by a function, 2 ( ) ( ) g t t u t = . That is, ( ) ( ) ( ) y t x t g t = . (a) Is the system linear? Justify your answer. (b) Memoryless? Justify your answer. (c) Causal? Justify your answer. (d) Time invariant? Justify your answer. [Hint => system is not time invariant, shift the input and explain what happens to the output.] 2. A continuous-time system is given by ( ) ( ) 0.5 [ ( ) ( )] y t x t t d + − = + +

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