# Rectangular Pulse and Its Fourier Transform

Rectangular Pulse and Its Fourier Transform

This Demonstration illustrates the relationship between a rectangular pulse signal and its Fourier transform. There are three parameters that define a rectangular pulse: its height , width in seconds, and center . Mathematically, a rectangular pulse delayed by seconds is defined as and its Fourier transform or spectrum is defined as .

A

T

t

0

t

0

g(t-t)=Arect=

0

t-t

0

T

A | t-t 0 T 1 2 |

0 | otherwise |

G(f)=ATsinc(πfT)exp(-i2πft)

0

This Demonstration illustrates how changing affects its spectrum. Both the magnitude and phase of the spectrum are displayed.

g(t)