EE101Lecture28

# EE101Lecture28 - Introduction to Digital Logic Lecture 28...

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© Mark Redekopp, All rights reserved Introduction to Digital Logic Lecture 28 Digital Music (Low-Pass) Filter Design

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© Mark Redekopp, All rights reserved Example Take USC fight song and remove high frequency audio from the song (i.e. lower the “treble”) We can view the song as samples over time or by taking the Fourier transform, we can see the component frequencies (i.e. the frequency domain representation) 0 0.5 1 1.5 2 2.5 3 3.5 4 -1 -0.8 -0.6 -0.4 -0.2 0 0.2 0.4 0.6 0.8 1 Plot of fight song seconds Amplitude 0 500 1000 1500 2000 2500 3000 3500 4000 0 0.005 0.01 0.015 0.02 0.025 0.03 0.035 Fourier Series of Sound Hz Fourier Coefficient
© Mark Redekopp, All rights reserved Low Pass Filter We would like to remove the high frequency components 0 0.5 1 1.5 2 2.5 3 3.5 4 -1 -0.8 -0.6 -0.4 -0.2 0 0.2 0.4 0.6 0.8 1 Plot of fight song seconds Amplitude 0 500 1000 1500 2000 2500 3000 3500 4000 0 0.005 0.01 0.015 0.02 0.025 0.03 0.035 Fourier Series of Sound Hz Fourier Coefficient

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© Mark Redekopp, All rights reserved Tangent Frequency Domain Fourier theory says any signal can be represented as sum of different frequency sine waves Fourier Composition By summing different sine waves we can form a square wave or any other signal 0 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 0.1 -1 -0.8 -0.6 -0.4 -0.2 0 0.2 0.4 0.6 0.8 1 0 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09
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## This note was uploaded on 11/08/2009 for the course EE 101 at USC.

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EE101Lecture28 - Introduction to Digital Logic Lecture 28...

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