DTFT vs. DFT: Example #6: sum of cosine waves (DC, (1+1/6) Hz, (2+1/6)Hz)

Sampled sequence

[Graphics:../Images/index_gr_100.gif]

[Graphics:../Images/index_gr_101.gif]

Magnitude plot of DTFT as a function of frequency

[Graphics:../Images/index_gr_102.gif]

[Graphics:../Images/index_gr_103.gif]

Phase plot of DTFT as a function of index k

[Graphics:../Images/index_gr_104.gif]

[Graphics:../Images/index_gr_105.gif]

Magnitude plot of DFT as a function of frequency

[Graphics:../Images/index_gr_106.gif]

[Graphics:../Images/index_gr_107.gif]

Phase plot of DFT as a function of index k

[Graphics:../Images/index_gr_108.gif]

[Graphics:../Images/index_gr_109.gif]

Rearrange and scale DFT result

[Graphics:../Images/index_gr_110.gif]

[Graphics:../Images/index_gr_111.gif]

[Graphics:../Images/index_gr_112.gif]

[Graphics:../Images/index_gr_113.gif]

Show all

[Graphics:../Images/index_gr_114.gif]

[Graphics:../Images/index_gr_115.gif]


Converted by Mathematica      March 25, 2003