20-5553: Fourier Analysis – page 6

Oct 06, 2014

30 likes | 123 Views

20-5553: Fourier Analysis – page 6. Period=2L :. Period=2  :. 20-5553: Dynamical Systems and Fourier Analysis. Deriving the formula for a n :. Start with the Fourier series formula:. , where n is an integer. Multiply each term by cos( mt ), where m is also an integer.

kita

Download Presentation

20-5553: Fourier Analysis – page 6

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

20-5553: Fourier Analysis – page 6 Period=2L : Period=2 : 20-5553: Dynamical Systems and Fourier Analysis
Deriving the formula for an: Start with the Fourier series formula: , where n is an integer Multiply each term by cos(mt), wheremis also an integer Now integrate from - to : 20-5553: Dynamical Systems and Fourier Analysis
Now, we also know that and also that so therefore: and hence: 20-5553: Dynamical Systems and Fourier Analysis