Digital Signal Processing Reference
In-Depth Information
Error Analysis in FPT
(−)
via Shape Spectra (Component & Total: Left, Residual: Right); FID Length: N
P
=180,220,260
Absorption Component and Total Shape Spectra
Residual Spectrum: Subtraction of 2 Total Shape Spectra
18
12
PADE: FPT
(−)
B
0
=1.5T
N
P
= 180
N
P
= 180
8
N
P
= 180, 220
B
0
=1.5T
14
5+6+7
Converged (total only)
4
Converged
14+15
10
0
16+17
8
22+23
9
6
−4
10
21
19
12
20
1+2
3+4
18
13
FPT
(−)
(220) − FPT
(−)
(180)
−8
25
24
2
0
−12
5
4
3
2
1
5
4
3
2
1
(i) Chemical shift (ppm)
(iv) Chemical shift (ppm)
Absorption Component and Total Shape Spectra
Residual Spectrum: Subtraction of 2 Total Shape Spectra
18
12
PADE: FPT
(−)
B
0
=1.5T
8
N
P
= 220
N
P
= 220
N
P
= 220, 260
B
0
=1.5T
14
5+6+7
Converged (both)
4
Converged
14+15
10
0
16+17
8
22+23
9
6
−4
10
21
19
11+12
20
1+2
3+4
18
13
FPT
(−)
(260) − FPT
(−)
(220)
−8
25
24
2
0
−12
5
4
3
2
1
5
4
3
2
1
(ii) Chemical shift (ppm)
(v) Chemical shift (ppm)
Absorption Component and Total Shape Spectra
Residual Spectrum: Subtraction of 2 Total Shape Spectra
18
12
PADE: FPT
(−)
B
0
=1.5T
8
N
P
= 260
N
P
= 260
N
P
= 180, 260
B
0
=1.5T
14
5+6+7
Converged (both)
4
Converged
14+15
10
0
16+17
8
22+23
9
6
−4
10
21
19
11+12
20
1+2
3+4
13
FPT
(−)
(260) − FPT
(−)
(180)
18
−8
25
24
2
0
−12
5
4
3
2
1
5
4
3
2
1
(iii) Chemical shift (ppm)
(vi) Chemical shift (ppm)
FIGURE 3.12
Left: absorption total shape spectra superimposed on top of the correspond
ing component shape spectra in the FPT
(−)
near full convergence for signal
lengths N
P
= 180, 220, 260. Right: Consecutive difference spectra for absorp
tion total shape spectra in the FPT
(−)
for signal lengths N
P
= 180, 220, 260.
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