Lab 7 - James Montgomery Physics 326 1 December 2011...

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James Montgomery Physics 326 1 December 2011 Fourier Analysis and Synthesis Introduction: Any piecewise, continuous periodic function with frequency ω, can be expressed as the sum of an infinite series of sines and cosines. This is known as the Fourier series. Non-periodic functions can also be expressed through the Fourier transform. In this lab, we explored how to create and manipulate these wave functions into desired designs. Functions can be expressed by Experimental Method: This lab required the follow- ing apparatus and equipment: Computer, function generator, oscilloscope, tuning forks, microphone, SRS760 FFT Spectrum Analyzer, 3.5” DS/DD Dos Formatted Disks. The first part of the lab involved creating a graph showing the harmonics of a square wave with n =1 through n = 9 using : Given this, we calculated The graph of this information from with steps .01 follows.
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Figure 1 The discontinuities present in the graph at both ends differ from the normal curve and are a bit higher and scattered. The best estimate looks to center around 2.5.
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This note was uploaded on 01/09/2012 for the course PHYSICS 326 taught by Professor Staff during the Fall '08 term at Rutgers.

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Lab 7 - James Montgomery Physics 326 1 December 2011...

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