Digital Signal Processing Reference
In-Depth Information
CONVERGENCE of ABSOLUTE VALUES of AMPLITUDES in FPT (+) (Left) and FPT (−) (Right); FID LENGTH: N P = 180, 220, 260
Absolute Values of Amplitudes: Input (x), Pade (o)
Absolute Values of Amplitudes: Input (x), Pade (o)
0.25
0.25
PADE: FPT (+)
PADE: FPT (−)
B 0 =1.5T
B 0 =1.5T
N P = 180
N P = 180
0.2
0.2
6
6
2
2
0.15
0.15
3
3
1
1
7
7
0.1
0.1
22
25
25
5
5
0.05
20
0.05
20
10
10
19
19
4
4
21
21
24
24
23
18
13
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)
0.25
0.25
PADE: FPT (+)
PADE: FPT (−)
B 0 =1.5T
B 0 =1.5T
N P = 220
N P = 220
0.2
0.2
Converged
6
6
2
2
0.15
0.15
3
3
1
1
7
7
15
15
16
16
0.1
8
0.1
8
9
9
22
22
17
14
12
17
14
12
25
25
5
5
0.05
20
0.05
20
19
10
19
10
4
4
21
21
24
24
23
23
18
18
11
11
13
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)
0.25
0.25
PADE: FPT (+)
PADE: FPT (−)
B 0 =1.5T
B 0 =1.5T
N P = 260
N P = 260
0.2
Converged
0.2
Converged
6
6
2
2
0.15
0.15
3
3
1
1
7
7
15
15
16
16
0.1
8
0.1
8
9
9
22
22
17
14
17
14
12
12
25
25
5
5
0.05
0.05
20
20
19
10
19
10
4
4
21
21
24
24
23
23
18
18
11
11
13
13
0
0
5
4
3
2
1
5
4
3
2
1
(iii) Chemical shift (ppm)
(vi) Chemical shift (ppm)
FIGURE 3.18
Convergence of the absolute values of the amplitudes reconstructed by the
FPT (+)
(left) and FPT (−)
(right) near full convergence for signal lengths
N P = 180, 220, 260.
 
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