EE101Lecture28

EE101Lecture28 - Introduction to Digital Logic Lecture 28...

Info iconThis preview shows pages 1–5. Sign up to view the full content.

View Full Document Right Arrow Icon
© Mark Redekopp, All rights reserved Introduction to Digital Logic Lecture 28 Digital Music (Low-Pass) Filter Design
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
© 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
Background image of page 2
© 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
Background image of page 3

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
© 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
Background image of page 4
Image of page 5
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 11/08/2009 for the course EE 101 at USC.

Page1 / 14

EE101Lecture28 - Introduction to Digital Logic Lecture 28...

This preview shows document pages 1 - 5. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online