# hw8 - than the bottom one meaning there is more noise in...

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HW8 Problem 1: % Digital Filtering of an Audio File with a 5th order low pass filter % Read in the file squarewavepluswhitenoise.wav x = wavread( 'squarewavepluswhitenoise.wav' ); % a = 1 for simple filters a = 1; % Creating the code for b for the 5th order filter w = exp(0) + exp(-0.5) + exp(-1) + exp(-1.5) + exp(-2); b = [exp(0) exp(-0.5) exp(-1) exp(-1.5) exp(-2)]/w; % Using MATLAB's built in filter function to filter our wav file y = filter(b, a, x); % Write y, the filtered vector, to squarewavepluswhitenoisefiltered.wav wavwrite(y, 44100, 16, 'squarewavepluswhitenoisefiltered.wav' );

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Problem 2: In the images below, the top image is the unfiltered file and the bottom is the filtered file. As easily noticed, the top wav file has many more sudden sharp transitions

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Unformatted text preview: than the bottom one, meaning there is more noise in the top wav file. The bottom one appears to be smoother and the square wave is more noticable in the bottom file than the noisy top one. Problem 3: These are the Fourier frequency spectrums of the noisy square wave file and the filtered version. The unfiltered version is on top and the filtered is on the bottom. The main difference in these two is the declining of the baseline in the filtered file. The square wave is made up of low frequency harmonics and as you can see by the diagram, those harmonics were kept intact, meaning the loss was due to the noise loss....
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hw8 - than the bottom one meaning there is more noise in...

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