# hw5 - ECE220 Signals and Information Spring 2008 Homework 5...

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ECE220 Signals and Information Spring 2008 Homework 5: Due Monday, March 10, at 10:08am Drop your homework in the collection box marked ”ECE220 Spring 2008, homework” , located on the second foor oF Phillips at the south entrance to 219 Phillips. Print your name, NetId, and lab section in the top right corner on all pages. NOTE: This homework is based on lectures 12-16 and Chapters 9 and 10 in the textbook. Problem 1 Consider narrow pulses δ Δ ( t ) and δ Δ (2 t ) depicted in ±igure 1. δ (2 t 29 2∆ 1 t 2 2 δ ( t 29 2∆ 1 t ±igure 1. We argued inFormaly in class that lim Δ 0 δ Δ ( t ) = δ ( t ) (a) What is lim Δ 0 δ Δ (2 t )? (b) What is lim Δ 0 δ Δ ( αt ) For α n = 0? Problem 2 Consider the Function x ( t ) = e - 2 t u ( t 3). On the same graph plot Functions (a) x ( t )

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(b) x (2 t ) (c) x ( T t ) where T is some nonzero number.
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hw5 - ECE220 Signals and Information Spring 2008 Homework 5...

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