Fourier series to Fourier transform

Square wave, T = 2

Define and plot square wave 
[Graphics:../Images/index_gr_16.gif]
[Graphics:../Images/index_gr_17.gif]

[Graphics:../Images/index_gr_18.gif]

Frequency spectrum 
[Graphics:../Images/index_gr_19.gif]

[Graphics:../Images/index_gr_20.gif]

Square wave, T = 4

Define and plot square wave 
[Graphics:../Images/index_gr_21.gif]
[Graphics:../Images/index_gr_22.gif]

[Graphics:../Images/index_gr_23.gif]

Frequency spectrum 
[Graphics:../Images/index_gr_24.gif]

[Graphics:../Images/index_gr_25.gif]

Square wave, T = 6

Define and plot square wave 
[Graphics:../Images/index_gr_26.gif]
[Graphics:../Images/index_gr_27.gif]

[Graphics:../Images/index_gr_28.gif]

Frequency spectrum 
[Graphics:../Images/index_gr_29.gif]

[Graphics:../Images/index_gr_30.gif]

Square wave, T = 8

Define and plot square wave 
[Graphics:../Images/index_gr_31.gif]
[Graphics:../Images/index_gr_32.gif]

[Graphics:../Images/index_gr_33.gif]

Frequency spectrum 
[Graphics:../Images/index_gr_34.gif]

[Graphics:../Images/index_gr_35.gif]

Show results of previous four subsections 

[Graphics:../Images/index_gr_36.gif]

[Graphics:../Images/index_gr_37.gif]

[Graphics:../Images/index_gr_38.gif]

[Graphics:../Images/index_gr_39.gif]

Pulse (T -> infinity)

Define and plot single pulse 
[Graphics:../Images/index_gr_40.gif]

[Graphics:../Images/index_gr_41.gif]

Frequency spectrum 
[Graphics:../Images/index_gr_42.gif]
[Graphics:../Images/index_gr_43.gif]
[Graphics:../Images/index_gr_44.gif]

[Graphics:../Images/index_gr_45.gif]

Compare FS and FT 

[Graphics:../Images/index_gr_46.gif]

[Graphics:../Images/index_gr_47.gif]

Converted by Mathematica      March 24, 2003