DTFT vs. DFT: Example #5: sum of cosine waves (DC, 1Hz, 2Hz)
Sampled sequence
![[Graphics:../Images/index_gr_84.gif]](../Images/index_gr_84.gif)
![[Graphics:../Images/index_gr_85.gif]](../Images/index_gr_85.gif)
Magnitude plot of DTFT as a function of frequency
![[Graphics:../Images/index_gr_86.gif]](../Images/index_gr_86.gif)
![[Graphics:../Images/index_gr_87.gif]](../Images/index_gr_87.gif)
Phase plot of DTFT as a function of index k
![[Graphics:../Images/index_gr_88.gif]](../Images/index_gr_88.gif)
![[Graphics:../Images/index_gr_89.gif]](../Images/index_gr_89.gif)
Magnitude plot of DFT as a function of frequency
![[Graphics:../Images/index_gr_90.gif]](../Images/index_gr_90.gif)
![[Graphics:../Images/index_gr_91.gif]](../Images/index_gr_91.gif)
Phase plot of DFT as a function of index k
![[Graphics:../Images/index_gr_92.gif]](../Images/index_gr_92.gif)
![[Graphics:../Images/index_gr_93.gif]](../Images/index_gr_93.gif)
Rearrange and scale DFT result
![[Graphics:../Images/index_gr_94.gif]](../Images/index_gr_94.gif)
![[Graphics:../Images/index_gr_95.gif]](../Images/index_gr_95.gif)
![[Graphics:../Images/index_gr_96.gif]](../Images/index_gr_96.gif)
![[Graphics:../Images/index_gr_97.gif]](../Images/index_gr_97.gif)
Show all
![[Graphics:../Images/index_gr_98.gif]](../Images/index_gr_98.gif)
![[Graphics:../Images/index_gr_99.gif]](../Images/index_gr_99.gif)
Converted by Mathematica
March 25, 2003