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Unformatted text preview: GEORGIA INSTITUTE OF TECHNOLOGY SCHOOL of ELECTRICAL and COMPUTER ENGINEERING ECE 2025 Spring 2003 Lab #2: Introduction to Complex Exponentials Date: 21–27 Jan. 2003 You should read the Pre-Lab section of the lab and do all the exercises in the Pre-Lab section before your assigned lab time. You MUST complete the online Pre-lab exercise on Web-CT at the beginning of your lab session during the period 21-Jan to 27-Jan. You can use MATLAB or any notes you might have, but you cannot discuss the exercises with any other students. You will have approximately 20 minutes at the beginning of your lab session to complete the online Pre-Lab exercise. The Pre-Lab exercise for this this lab also includes some questions about concepts from the previous report. The Warm-up section of each lab must be completed during your assigned Lab time and the steps marked Instructor Verification must also be signed off during the lab time . One of the laboratory instructors must verify the appropriate steps by signing on the Instructor Verification line. When you have completed a step that requires verification, simply raise your hand and demonstrate the step to the TA or instructor. After completing the warm-up section, turn in the verification sheet to your TA. It is only necessary to turn in Section 4 as the lab report for this lab. More information on the lab report format can be found on Web-CT under the ‘Information” link. You are asked to label the axes of your plots and include a title for every plot. In order to reduce missing plots, include your plot as a figure embedded within your report. For more information on how to include figures and plots from MATLAB in your report file, consult the “information” link on Web-CT. If you still do not know how to do so, ask your TA. Forgeries and plagiarism are a violation of the honor code and will be referred to the Dean of Students for disciplinary action. You are allowed to discuss lab exercises with other students and you are allowed to consult old lab reports but the submitted work should be original and it should be your own work. The lab report and verification will be graded out of 100 points. The Pre-Post-Lab questions will be graded separately. The lab report will be due during the period 28-Jan. through 3-Feb. at the start of your lab. PRINTING BUDGET: For the printers in the ECE labs, you have a quota. Please limit your print- ing to essential items for the labs. If you need to print lecture slides and other large documents, use the central (OIT) printing facilities. 1 Introduction and Overview The goal of this laboratory is to gain familiarity with complex numbers and their use in representing sinu- soidal signals such as x ( t ) = A cos (ω t + φ) as complex exponentials z ( t ) = Ae j φ e j ω t . The key is to use the complex amplitude and then the real part operator applied to Euler’s formula: x ( t ) = A cos (ω t + φ) = < e { Ae j φ e j ω t } Manipulating sinusoidal functions using complex exponentials turns trigonometric problems into simple...
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This note was uploaded on 09/14/2010 for the course ECE 3080 taught by Professor Staff during the Spring '08 term at Georgia Tech.

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