1. Fourier Analysis for GPS ASEN5190 P. Axelrad October 2003

2. Periodic Functions A periodic function of period Tp = 1/fp Can be expressed by a Fourier Trigonometric Series as:

3. Change of variable

4. Fourier Coefficients

5. Examples a0a0 anan bnbn

6. Square Wave

7. Fourier Transform of a Pulse

8. Sinc and Sinc 2

9. Fourier series for a signal that is periodic in P

10. A T/2 P=NT Periodic rectangular pulse

11. Fourier representation of a periodic rectangular pulse Zoomed in to show lines Series for 1/T=1.023e6 and fp=1e3