DTFT vs. DFT: Example #3: (1+1/6)Hz cosine wave

Sampled sequence

[Graphics:../Images/index_gr_52.gif]

[Graphics:../Images/index_gr_53.gif]

Magnitude plot of DTFT as a function of frequency

[Graphics:../Images/index_gr_54.gif]

[Graphics:../Images/index_gr_55.gif]

Phase plot of DTFT as a function of index k

[Graphics:../Images/index_gr_56.gif]

[Graphics:../Images/index_gr_57.gif]

Magnitude plot of DFT as a function of frequency

[Graphics:../Images/index_gr_58.gif]

[Graphics:../Images/index_gr_59.gif]

Phase plot of DFT as a function of index k

[Graphics:../Images/index_gr_60.gif]

[Graphics:../Images/index_gr_61.gif]

Rearrange and scale DFT result

[Graphics:../Images/index_gr_62.gif]

[Graphics:../Images/index_gr_63.gif]

[Graphics:../Images/index_gr_64.gif]

[Graphics:../Images/index_gr_65.gif]

Show all

[Graphics:../Images/index_gr_66.gif]

[Graphics:../Images/index_gr_67.gif]


Converted by Mathematica      March 25, 2003