hw1 solutions - ELEC 2120 Su 2013 Roppel Homework 1...

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ELEC 2120 Su 2013 Roppel Homework 1 Assigned Fri. May 17 Due Wed. May 22 at the start of class. Instructions: Questions 1 – 10 are not for submission. Solutions will be provided on the due date. Question 11 (only) should be submitted in class on the due date. Questions from Section 1.1 1. (a) The voltage from a certain sensor is v(t). Does this meet the definition of a signal? Why or why not? (b) The pose of a mobile robot is defined as p(t) = [ x(t), y(t), θ(t) ] where x(t) is the x coordinate of the center of the robot, y(t) is the y coordinate of the center of the robot, and θ(t) is the heading angle. Does p(t) meet the definition of a signal? Why or why not? (a) Yes, since v(t) is a real-valued function of the time variable t. (b) Not according to the textbook definition, because p refers to an array of values rather than to a single value. However, in a practical application we may choose to understand p(t) as a set of related signals and process the data accordingly if it is reasonable to do so.
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  • Fall '08
  • Staff
  • Derivative, speech waveforms, time variable t.

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