DTFT, DFT, ZT, and FFT 517
20
15
10
5
0
0 50 100 150 200 250
0 50 100 150 200 250
DTFT
DTFT
DFT for k = 32
DFT for k = 64
Magnitudes of the DTFT and DFT
Amplitude
Amplitude
Index k
0
5
10
15
20
25
FIGURE 5.29
Magnitude plots of DTFT and DFT of the discrete sequence f(n) of Example 5.5.
FIGURE 5.30
Phase plots of DTFT and DFT of the discrete sequence f(n) of Example 5.5.
0 50 100 150 200 250
0 50 100 150 200 250
Index k
DTFT
DTFT
DFT for k = 64
DFT for k = 32
Phase of the DTFT and DFT
4
2
0
− 2
− 4
4
2
0
− 2
− 4
Phase angle
Phase angle