DTFT vs. DFT: Example #2: 1Hz cosine wave (higher fs)
Sampled sequence
![[Graphics:../Images/index_gr_36.gif]](../Images/index_gr_36.gif)
![[Graphics:../Images/index_gr_37.gif]](../Images/index_gr_37.gif)
Magnitude plot of DTFT as a function of frequency
![[Graphics:../Images/index_gr_38.gif]](../Images/index_gr_38.gif)
![[Graphics:../Images/index_gr_39.gif]](../Images/index_gr_39.gif)
Phase plot of DTFT as a function of index k
![[Graphics:../Images/index_gr_40.gif]](../Images/index_gr_40.gif)
![[Graphics:../Images/index_gr_41.gif]](../Images/index_gr_41.gif)
Magnitude plot of DFT as a function of frequency
![[Graphics:../Images/index_gr_42.gif]](../Images/index_gr_42.gif)
![[Graphics:../Images/index_gr_43.gif]](../Images/index_gr_43.gif)
Phase plot of DFT as a function of index k
![[Graphics:../Images/index_gr_44.gif]](../Images/index_gr_44.gif)
![[Graphics:../Images/index_gr_45.gif]](../Images/index_gr_45.gif)
Rearrange and scale DFT result
![[Graphics:../Images/index_gr_46.gif]](../Images/index_gr_46.gif)
![[Graphics:../Images/index_gr_47.gif]](../Images/index_gr_47.gif)
![[Graphics:../Images/index_gr_48.gif]](../Images/index_gr_48.gif)
![[Graphics:../Images/index_gr_49.gif]](../Images/index_gr_49.gif)
Show all
![[Graphics:../Images/index_gr_50.gif]](../Images/index_gr_50.gif)
![[Graphics:../Images/index_gr_51.gif]](../Images/index_gr_51.gif)
Converted by Mathematica
March 25, 2003