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project2

# project2 - ECE 301 Project 2 Fourier Series Due...

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ECE 301 Project 2: Fourier Series Due June 29, 2011 Introduction This project is intended to familiarize you with fourier series beyond homework assignments. All materials necessary for the project are available on the website (dea.ecn.purdue.edu/ece301). Please familiarize yourself with the analysis and synthesis equations for the Continuous-Time Fourier Series (CTFS) before starting the project. 1 Square Wave Download square wave.mat and load it in Matlab ( load square wave.mat ). It will contain a vector continaing the time, t , a vector with the square waveform, x , and a variable with the period, T . 1.1 Fourier Series Coefficients Find the formula for the Fourier Series (CTFS) Coefficients, a k . Next, find an expression for b k such that: x ( t ) = b 0 + X k =1 b k cos 2 π T kt (1) Let ˜ x ( t ) be an approximation to x ( t ) that has only the first few harmonics. ˜ x ( t ) = b 0 + N X k =1 b k cos 2 π T kt (2) 1.2 Deliverables For the first 8 harmonics (not including b 0 and therefore there are 6 total graphs), plot x ( t ) and ˜ x ( t ) in the same figure

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project2 - ECE 301 Project 2 Fourier Series Due...

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