Fourier Analysis for GPS ASEN5190 P. Axelrad October 2003.

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Presentation transcript:

Fourier Analysis for GPS ASEN5190 P. Axelrad October 2003

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

Change of variable

Fourier Coefficients

Examples a0a0 anan bnbn

Square Wave

Fourier Transform of a Pulse

Sinc and Sinc 2

Fourier series for a signal that is periodic in P

A T/2 P=NT Periodic rectangular pulse

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