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1 ME 365 EXPERIMENT 8 FREQUENCY ANALYSIS Objectives: There are two goals in this laboratory exercise. The first is to reinforce the Fourier series analysis you have done in the lecture portion of this course. The second is to improve your LabVIEW program ming skills. These goals are to be met with the student’s completion of a Fourier-based LabVIEW program. After completing this lab, you should be able to: Find the Fourier coefficients for a periodic signal. Reconstruct a periodic signal using a combination of sinusoids Decompose a periodic signal into its Fourier series and understand why this is useful. About the program: The VI that you will construct today is modeled after the Sine-only form of the Fourier series, given with: o n n n1 2 nt y(t) M /2 M sin( ) T where k is the phase term. From the pre-lab exercise you should be comfortable converting between the k A and k B in the Sine and Cosine Fourier expression and the related coefficients in the Sine-only Fourier expression. Now load from the 365 library. As a starting block, you are given the front panel shown below in figure 1. Your work will occur on the associated wiring diagram.
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Laboratory 8 Frequency Analysis ME 365 2 Figure 1: The Front Panel (Location: vi. .. /DESKTOP /ME365 /ME365.LLB / This is the completed front panel. You should recognize that all of the numeric constants are controllers, or inputs to the VI. The outputs are the Front Panel’s graphical display as well as a continuously generated voltage corresponding to the waveform. This continuous waveform will come out of DAC0 port on the data acquisition interface. It is your task to correctly complete a VI which will take the VI’s inputs, generate the function y(t), gra ph it, and send it to the D/A output port. What follows is an outline of the steps you will need to take. Procedure: Based on the form of the Sine only Fourier series an algorithm can be developed: 1. Collection and organization of the inputs Before you do any wiring you should be comfortable with what the inputs are. Each row of amplitude, phase, and frequency multiplier will provide information for the generation of one sinusoid. Therefore you must be careful to keep the sets together. The inputs of fundamental
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This note was uploaded on 12/26/2011 for the course ME 365 taught by Professor Merkle during the Fall '07 term at Purdue University-West Lafayette.

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