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
CRC_47760_CH005.indd 517
CRC_47760_CH005.indd 517
7/23/2008 1:47:33 PM
7/23/2008 1:47:33 PM