Digital Signal Processing Reference
In-Depth Information
CONVERGENCE of ABSOLUTE VALUES of AMPLITUDES in FPT (−) ; FID LENGTH: N/M, N = 1024, M = 1−32
Absolute Values of Amplitudes: Input (x), Pade (o)
Absolute Values of Amplitudes: Input (x), Pade (o)
0.45
0.25
PADE: FPT (−)
PADE: FPT (−)
B 0 =1.5T
B 0 =1.5T
0.4
0.2
N/4 = 256
N/32 = 32
0.35
6
2
0.3
0.15
3
0.25
1
7
15
0.2
16
8
0.1
9
0.15
22
17
14
12
25
5
0.1
0.05
20
10
19
4
25
21
0.05
24
23
18
11
13
0
0
5
4
3
2
1
5
4
3
2
1
(i) Chemical shift (ppm)
(iv) Chemical shift (ppm)
Absolute Values of Amplitudes: Input (x), Pade (o)
Absolute Values of Amplitudes: Input (x), Pade (o)
0.4
0.25
PADE: FPT (−)
PADE: FPT (−)
B 0 =1.5T
B 0 =1.5T
0.35
0.2
N/2 = 512
N/16 = 64
0.3
6
2
0.25
0.15
3
1
7
0.2
15
16
0.1
8
9
0.15
22
17
14
12
25
5
0.1
0.05
20
19
10
25
4
21
0.05
24
23
18
11
24
13
0
0
5
4
3
2
1
5
4
3
2
1
(ii) Chemical shift (ppm)
(v) Chemical shift (ppm)
Absolute Values of Amplitudes: Input (x), Pade (o)
Absolute Values of Amplitudes: Input (x), Pade (o)
0.4
0.25
PADE: FPT (−)
B 0 =1.5T
PADE: FPT (−)
B 0 =1.5T
0.35
0.2
N = 1024
N/8 = 128
0.3
6
2
0.25
0.15
3
1
0.2
7
15
2
16
8
0.1
0.15
9
1
22
17
14
12
25
5
0.1
0.05
20
10
19
25
4
21
0.05
24
23
18
24
11
13
0
0
5
4
3
2
1
5
4
3
2
1
(iii) Chemical shift (ppm)
(vi) Chemical shift (ppm)
FIGURE 3.17
Convergence of the absolute values of the amplitudes reconstructed by the
FPT (−)
for signal lengths N/32
=
32,N/16 =
64,N/8
=
128,N/4 =
256,N/2 = 512 and N = 1024.
 
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