DTFT vs. DFT: Example #4: (1+1/6)Hz cosine wave (higher fs)
Sampled sequence
![[Graphics:../Images/index_gr_68.gif]](../Images/index_gr_68.gif)
![[Graphics:../Images/index_gr_69.gif]](../Images/index_gr_69.gif)
Magnitude plot of DTFT as a function of frequency
![[Graphics:../Images/index_gr_70.gif]](../Images/index_gr_70.gif)
![[Graphics:../Images/index_gr_71.gif]](../Images/index_gr_71.gif)
Phase plot of DTFT as a function of index k
![[Graphics:../Images/index_gr_72.gif]](../Images/index_gr_72.gif)
![[Graphics:../Images/index_gr_73.gif]](../Images/index_gr_73.gif)
Magnitude plot of DFT as a function of frequency
![[Graphics:../Images/index_gr_74.gif]](../Images/index_gr_74.gif)
![[Graphics:../Images/index_gr_75.gif]](../Images/index_gr_75.gif)
Phase plot of DFT as a function of index k
![[Graphics:../Images/index_gr_76.gif]](../Images/index_gr_76.gif)
![[Graphics:../Images/index_gr_77.gif]](../Images/index_gr_77.gif)
Rearrange and scale DFT result
![[Graphics:../Images/index_gr_78.gif]](../Images/index_gr_78.gif)
![[Graphics:../Images/index_gr_79.gif]](../Images/index_gr_79.gif)
![[Graphics:../Images/index_gr_80.gif]](../Images/index_gr_80.gif)
![[Graphics:../Images/index_gr_81.gif]](../Images/index_gr_81.gif)
Show all
![[Graphics:../Images/index_gr_82.gif]](../Images/index_gr_82.gif)
![[Graphics:../Images/index_gr_83.gif]](../Images/index_gr_83.gif)
Converted by Mathematica
March 25, 2003