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Unformatted text preview: EE 341, Spring 201 Problem Set 1 for Week 1 Due Monday, April (in lecture class, on front table in EE 125) Collaboration on homework problems is allowed, but the homework you turn in must be written up alone by you. Sometimes sequences which represent complicated yet useful signals can be decomposed into simple sequences, such as the unit impulse and unit step sequences. You should learn to be comfortable manipulating these simple sequences: 1. A unit impulse is defined to be 1, [ ] 0, otherwise n n = = and a unit step is defined to be 1, [ ] 0, otherwise n u n = Determine which of the following discrete-time sequences are different from the other three sequences, and justify your answer: a) 1 [ ] [ 2] [ 2] x n u n u n = + b) 1 2 2 [ ] [ ] k x n n = = k c) 3 [ ] 1 for [ 2,1],and 0 otherwise x n n = d) 4 [ ] [ ] [ 1] [ 2] x n n n n = + + + + Complex sequences turn out to be very important in EE, and are seen in virtually all areas...
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This document was uploaded on 07/08/2011.
- Spring '09