Lab04-2012S - GEORGIA INSTITUTE OF TECHNOLOGY SCHOOL of...

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1 GEORGIA INSTITUTE OF TECHNOLOGY SCHOOL of ELECTRICAL and COMPUTER ENGINEERING ECE 2025 Spring 2012 Lab #4: AM and FM Sinusoidal Signals Date: 6-9 February 2012 Pre-Lab: 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. Verification: 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 completed verification sheet to your TA before leaving the lab . Lab Report: It is only necessary to turn in Section 4 as this week’s lab report. More information on the lab report format can be found on t-square under the INFO link. ALWAYS label the axes of your plots and include a title for every plot. In order to reduce “orphan” plots, include each 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 INFO link on t-square , or ask your TA for details. 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 you cannot give or receive written material or electronic files. Your submitted work should be original and it should be your own work. Due Date: The report will be due during the week of 13-Feb at the start of your lab. 1 Introduction The objective of this lab is to introduce more complicated signals that are related to the basic sinusoid. These signals which implement frequency modulation (FM) and amplitude modulation (AM) are widely used in communication systems such as radio and television. In addition, they can be used to create interesting sounds that mimic musical instruments. There are a number of demonstrations on the CD-ROM that provide examples of these signals for many different conditions. 2 Pre-Lab We have spent a lot of time learning about the properties of sinusoidal waveforms of the form:     t f j j e Ae t f A t x 0 2 0 Re ) 2 cos( ) ( (1) In this lab, we will extend our treatment of sinusoidal waveforms to more complicated signals composed of sums of sinusoidal signals, or sinusoids with changing frequency, i.e., frequency-modulated sinusoids. 2.1 Amplitude Modulation If we add several sinusoids, each with a different frequency ( f k ), we cannot use the phasor addition theorem, but we can still express the result with complex amplitudes as: CD-ROM FM Synthesis
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2   N k t f j j k N k k
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Lab04-2012S - GEORGIA INSTITUTE OF TECHNOLOGY SCHOOL of...

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