Digital Signal Processing Reference
In-Depth Information
RESIDUAL or ERROR SPECTRA: PADE [FPT
(−)
; FULL FID, N] − PADE [FPT
(−)
; PARTIAL FID, N/M]; N=1024, M=2−64
Subtraction of 2 Spectra; FID Length: N, N/64
Subtraction of 2 Spectra; FID Length: N, N/8
12
12
8
N/64 = 16
8
N/8 = 128
B
0
=1.5T
B
0
=1.5T
4
4
0
0
−4
−4
FPT
(−)
(N) − FPT
(−)
(N/64)
FPT
(−)
(N) − FPT
(−)
(N/8)
−8
−8
−12
−12
5
4
3
2
1
5
4
3
2
1
(i) Chemical shift (ppm)
(iv) Chemical shift (ppm)
Subtraction of 2 Spectra; FID Length: N, N/32
Subtraction of 2 Spectra; FID Length: N and N/4
12
12
8
N/32 = 32
8
N/4 = 256
B
0
=1.5T
B
0
=1.5T
4
4
0
0
−4
−4
FPT
(−)
(N) − FPT
(−)
(N/32)
FPT
(−)
(N) − FPT
(−)
(N/4)
−8
−8
−12
−12
5
4
3
2
1
5
4
3
2
1
(ii) Chemical shift (ppm)
(v) Chemical shift (ppm)
Subtraction of 2 Spectra; FID Length: N, N/16
Subtraction of 2 Spectra: FID Length: N, N/2
12
12
8
N/16 = 64
8
N/2 = 512
B
0
=1.5T
B
0
=1.5T
4
4
0
0
−4
−4
FPT
(−)
(N) − FPT
(−)
(N/16)
FPT
(−)
(N) − FPT
(−)
(N/2)
−8
−8
−12
−12
5
4
3
2
1
5
4
3
2
1
(iii) Chemical shift (ppm)
(vi) Chemical shift (ppm)
FIGURE 3.6
Residual spectra or error spectra for absorption total shape spectra in the
FPT
(−)
for signal lengths N/64
=
16,N/32 =
32,N/16
=
64,N/8
=
128,N/4 = 256,N/2 = 512 (N = 1024).
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