DTFT vs. DFT: Example #1: 1Hz cosine wave
Sampled sequence
![[Graphics:../Images/index_gr_20.gif]](../Images/index_gr_20.gif)
![[Graphics:../Images/index_gr_21.gif]](../Images/index_gr_21.gif)
Magnitude plot of DTFT as a function of frequency
![[Graphics:../Images/index_gr_22.gif]](../Images/index_gr_22.gif)
![[Graphics:../Images/index_gr_23.gif]](../Images/index_gr_23.gif)
Phase plot of DTFT as a function of index k
![[Graphics:../Images/index_gr_24.gif]](../Images/index_gr_24.gif)
![[Graphics:../Images/index_gr_25.gif]](../Images/index_gr_25.gif)
Magnitude plot of DFT as a function of frequency
![[Graphics:../Images/index_gr_26.gif]](../Images/index_gr_26.gif)
![[Graphics:../Images/index_gr_27.gif]](../Images/index_gr_27.gif)
Phase plot of DFT as a function of index k
![[Graphics:../Images/index_gr_28.gif]](../Images/index_gr_28.gif)
![[Graphics:../Images/index_gr_29.gif]](../Images/index_gr_29.gif)
Rearrange and scale DFT result
![[Graphics:../Images/index_gr_30.gif]](../Images/index_gr_30.gif)
![[Graphics:../Images/index_gr_31.gif]](../Images/index_gr_31.gif)
![[Graphics:../Images/index_gr_32.gif]](../Images/index_gr_32.gif)
![[Graphics:../Images/index_gr_33.gif]](../Images/index_gr_33.gif)
Show all
![[Graphics:../Images/index_gr_34.gif]](../Images/index_gr_34.gif)
![[Graphics:../Images/index_gr_35.gif]](../Images/index_gr_35.gif)
Converted by Mathematica
March 25, 2003