Revision as of 15:13, 21 April 2018

Approximating Periodic Signals with Finite Fourier Series

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 =Approximating Periodic Signals with Finite Fourier Series=
-In this project, a matlab function will be used to show how a finite number of Fourier Series coefficients can approximate a periodic signal.
+[[bonus_project.docx]]
-When there are only 1 non-zero term, the time and frequency domain are shown below:
-[[Image:code.png]]
-When 2 non-zero terms
-When 5 non-zeros terms
-When there are 25 non-zero terms
-Conclusion: From the above diagrams we are able to distinguish that: As the number of Fourier Series Coefficients increases, the output of approximated periodic signal is more accurate.
-A circuit is built to measure the Fourier series  of a Square wave
-For example, we set s(t) to be square wave with A = 3V, T0 = 0.5*10^-6s
-The frequency domain of output shown in spectrum analyzer will be:
-The time domain of output shown in oscilloscope will be: