DTFT vs. DFT: Example #2: 1Hz cosine wave (higher fs)

Sampled sequence

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

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

Magnitude plot of DTFT as a function of frequency

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

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

Phase plot of DTFT as a function of index k

[Graphics:../Images/index_gr_40.gif]

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

Magnitude plot of DFT as a function of frequency

[Graphics:../Images/index_gr_42.gif]

[Graphics:../Images/index_gr_43.gif]

Phase plot of DFT as a function of index k

[Graphics:../Images/index_gr_44.gif]

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

Rearrange and scale DFT result

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

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

[Graphics:../Images/index_gr_48.gif]

[Graphics:../Images/index_gr_49.gif]

Show all

[Graphics:../Images/index_gr_50.gif]

[Graphics:../Images/index_gr_51.gif]


Converted by Mathematica      March 25, 2003