{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

L02_fourier

# L02_fourier - Intro to Fourier Series Function...

This preview shows pages 1–4. Sign up to view the full content.

1 6.02 Spring 2008 Intro to Fourier Series, Slide 1 Intro to Fourier Series Function decomposition Even and Odd functions Fourier Series definition and examples Copyright © 2007 by M.H. Perrott & C. G. Sodini All rights reserved. 6.02 Spring 2008 Intro to Fourier Series, Slide 2 Can We Decompose Functions ? Consider a periodic function such as a square wave Can we decompose the above waveform into a weighted sum of basis functions ? What is a good choice for such basis functions? How do we calculate the weights? t

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

View Full Document
2 6.02 Spring 2008 Intro to Fourier Series, Slide 3 Consider Sine Wave Basis Functions Suppose we consider sine waves of progressively increasing frequencies as our basis functions t t t sin( ω o t) sin(2 ω o t) sin(3 ω o t) 6.02 Spring 2008 Intro to Fourier Series, Slide 4 Issue: Sine Waves Are Limited A sine wave corresponds to an odd function Odd function definition: Adding odd functions together can only produce an odd function t t sin( ω o t)
3 6.02 Spring 2008

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

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### Page1 / 8

L02_fourier - Intro to Fourier Series Function...

This preview shows document pages 1 - 4. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online