DTFT vs. DFT: Example #6: sum of cosine waves (DC, (1+1/6) Hz, (2+1/6)Hz)
Sampled sequence
![[Graphics:../Images/index_gr_100.gif]](../Images/index_gr_100.gif)
![[Graphics:../Images/index_gr_101.gif]](../Images/index_gr_101.gif)
Magnitude plot of DTFT as a function of frequency
![[Graphics:../Images/index_gr_102.gif]](../Images/index_gr_102.gif)
![[Graphics:../Images/index_gr_103.gif]](../Images/index_gr_103.gif)
Phase plot of DTFT as a function of index k
![[Graphics:../Images/index_gr_104.gif]](../Images/index_gr_104.gif)
![[Graphics:../Images/index_gr_105.gif]](../Images/index_gr_105.gif)
Magnitude plot of DFT as a function of frequency
![[Graphics:../Images/index_gr_106.gif]](../Images/index_gr_106.gif)
![[Graphics:../Images/index_gr_107.gif]](../Images/index_gr_107.gif)
Phase plot of DFT as a function of index k
![[Graphics:../Images/index_gr_108.gif]](../Images/index_gr_108.gif)
![[Graphics:../Images/index_gr_109.gif]](../Images/index_gr_109.gif)
Rearrange and scale DFT result
![[Graphics:../Images/index_gr_110.gif]](../Images/index_gr_110.gif)
![[Graphics:../Images/index_gr_111.gif]](../Images/index_gr_111.gif)
![[Graphics:../Images/index_gr_112.gif]](../Images/index_gr_112.gif)
![[Graphics:../Images/index_gr_113.gif]](../Images/index_gr_113.gif)
Show all
![[Graphics:../Images/index_gr_114.gif]](../Images/index_gr_114.gif)
![[Graphics:../Images/index_gr_115.gif]](../Images/index_gr_115.gif)
Converted by Mathematica
March 25, 2003