DTFT vs. DFT: Example #3: (1+1/6)Hz cosine wave
Sampled sequence
![[Graphics:../Images/index_gr_52.gif]](../Images/index_gr_52.gif)
![[Graphics:../Images/index_gr_53.gif]](../Images/index_gr_53.gif)
Magnitude plot of DTFT as a function of frequency
![[Graphics:../Images/index_gr_54.gif]](../Images/index_gr_54.gif)
![[Graphics:../Images/index_gr_55.gif]](../Images/index_gr_55.gif)
Phase plot of DTFT as a function of index k
![[Graphics:../Images/index_gr_56.gif]](../Images/index_gr_56.gif)
![[Graphics:../Images/index_gr_57.gif]](../Images/index_gr_57.gif)
Magnitude plot of DFT as a function of frequency
![[Graphics:../Images/index_gr_58.gif]](../Images/index_gr_58.gif)
![[Graphics:../Images/index_gr_59.gif]](../Images/index_gr_59.gif)
Phase plot of DFT as a function of index k
![[Graphics:../Images/index_gr_60.gif]](../Images/index_gr_60.gif)
![[Graphics:../Images/index_gr_61.gif]](../Images/index_gr_61.gif)
Rearrange and scale DFT result
![[Graphics:../Images/index_gr_62.gif]](../Images/index_gr_62.gif)
![[Graphics:../Images/index_gr_63.gif]](../Images/index_gr_63.gif)
![[Graphics:../Images/index_gr_64.gif]](../Images/index_gr_64.gif)
![[Graphics:../Images/index_gr_65.gif]](../Images/index_gr_65.gif)
Show all
![[Graphics:../Images/index_gr_66.gif]](../Images/index_gr_66.gif)
![[Graphics:../Images/index_gr_67.gif]](../Images/index_gr_67.gif)
Converted by Mathematica
March 25, 2003