ECE-350 Midterm: ECE 350 Boise State Exam1 Solutions s12

• School: Boise State University
• Department: Electrical and Computer Engineering
• Course: ECE-350
• Professor: All

Document Summary

One 8 x 11 sheet of notes, and a calculator are allowed during the exam. Write all answers neatly and show your work to get full credit. A calculator is allowed during the exam, but should not be needed. 22 february 2012: (20 points) for the following system, Solutions ________ y(t) = cos(x(t+2)) determine if each of the following properties are satisfied and explain why or why not: (3 points each for right answer, 7 points each for right explanation) (a) causality. Explain: y1(t) = cos(x1(t+2)) y2(t) = cos(x2(t+2)) y3(t) = cos(x3(t+2)) x3(t) = x1(t) + x2(t) x3(t+2) = x1(t+2) + x2(t+2) y3(t) = cos(x1(t+2) + x2(t+2) ) fails additivity, therefore cannot satisfy both additivity and scalability. Y1(t) + y2(t) = cos(x1(t+2)) + cos(x2(t+2)) therefore not linear. 22 february 2012: (40 points) you are given x(t) is as shown in the figure below. 1 t (a) (5 points) if h1(t) = e3tu(4-t), sketch and label h1(t) . e3t.