MASSACHUSETTS INSTITUTE OF TECHNOLOGY Department of Electrical Engineering and Computer Science 6.003: Signals and Systems-Fall 2003 Final Exam Tuesday, December 16, 2003 Directions: The exam consists of 7 problems on pages 2 to 33 and additional work space on pages 34 to 37. Please make sure you have all the pages. Tables of Fourier series properties, CT and DT Fourier transform properties and pairs, Laplace transform and z-transform properties and pairs are supplied to you as a separate set of pages Enter all your work and your answers directly in the spaces provided on the printed pages of this booklet. Please make sure your name is on all sheets. You may use bluebooks for scratch work, but we will not grade them at all. All sketches must be adequately labeled. Unless indicated otherwise, answers must be derived or explained, not just simply written down. This examination is closed book, but students may use three 8 1/2 x ll sheets of paper for reference. Calcula- tors may not be used NAME Check your section Section Time Rec. Instr Prof. Zu 12345678 l1-12 Prof, Zue 1-2 Prof. gray l1-12 Dr Rohrs 12-1 Prof. Voldman 12-1 Prof. gray I0-11 l1-12 Prof. voldman Please leave the rest of this page blank for use by the graders: Problem No of points Score Grader 15 4 30 6 Total 200