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GEORGIA INSTITUTE OF TECHNOLOGY SCHOOL of ELECTRICAL and COMPUTER ENGINEERING ECE 2025 Spring 2012 Lab #3: Synthesis of Sinusoidal Signals—Music Synthesis Date: 30 Jan. – 2 Feb. 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 5-Feb at the start of your lab. 1 Introduction This lab includes a project on music/sound synthesis with sinusoidal waveforms of the form k k k k t A t x ) cos( ) ( . (1) Since music consists of musical notes, it will be necessary to establish the connection between musical notes, their frequencies, and sinusoids. A secondary objective of the lab is to document the relationship between the synthesized signal, its spectrogram and the musical notes. 2 Pre-Lab In this lab, the periodic waveforms and music signals will be created with the intention of playing them out through a speaker. Therefore, it is necessary to take into account the fact that a conversion is needed from the digital samples, which are numbers stored in the computer memory, to the actual voltage waveform that will be amplified and heard through the loudspeakers. 2.1 Theory of Sampling Chapter 4 treats the subject of sampling in detail, but this lab is usually done prior to lectures on sampling, so we provide a quick summary of essential facts here. An idealized process of sampling a signal and the subsequent reconstruction of the signal from its samples is depicted in Fig. 1. This figure shows a continuous-time input
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This note was uploaded on 02/07/2012 for the course ECE 2025 taught by Professor Juang during the Spring '08 term at Georgia Tech.

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