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Unformatted text preview: EE120: Signals & Systems Spring 1999 University of California at Berkeley College of Engineering Deparment of Electrical Engineering and Computer Sciences EECS 120: Signals and Systems Spring Semester 1999 Midterm #1 Solution Problem 1 (9 points, 3 each) Are these functions periodic? If so, what is the period? a. sin t + sin 2t YES, with period T = 2 π . b. sin 5t + cos ( 7t + π /4 ) YES, with period T = 2 π . c. sin 5t + cos 7 π t NO. The ratio of the periods is not a rational number. Problem 2 (15 points, 3 each) Determine whether each is a power signal, energy signal, or neither. Also calculate the power or energy for each. a. . sin ( ) t cos ( ) t = 0.5 sin 2t is periodic with period T = π . This is a POWER signal. ∫ ∞ → T T dt t t T 2 ) cos( ) sin( 1 lim P ∞ = = . 1 T d T t . 1 2 sin ( ) . 2 t 2 = . 1 . 8 π d π t 1 cos ( ) . 4 t = . 1 . 8 π π = 1 8 . b. = ∞ ∞ n Π t ....
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This note was uploaded on 05/17/2009 for the course EE 120 taught by Professor Ayazifar during the Spring '09 term at University of California, Berkeley.
- Spring '09
- Electrical Engineering