Digital Signal Processing Reference
In-Depth Information
CONVERGENCE of ABSORPTION TOTAL SHAPE SPECTRA (FFT: Left, FPT: Right) ; FID LENGTH N/M, N = 1024, M = 8−32
Fourier Absorption Total Shape Spectrum
Pade Absorption Total Shape Spectrum
18
18
PADE: FPT
(−)
FOURIER: FFT
B
0
=1.5T
B
0
= 1.5T
N
P
= N/32 = 32
N
P
= N/32 = 32
14
14
10
10
6
6
2
2
0
0
5
4
3
2
1
5
4
3
2
1
(i) Chemical shift (ppm)
(iv) Chemical shift (ppm)
Fourier Absorption Total Shape Spectrum
Pade Absorption Total Shape Spectrum
18
18
PADE: FPT
(−)
FOURIER: FFT
B
0
=1.5T
B
0
= 1.5T
N
P
= N/16 = 64
N
P
= N/16 = 64
14
14
10
10
6
6
2
2
0
0
5
4
3
2
1
5
4
3
2
1
(ii) Chemical shift (ppm)
(v) Chemical shift (ppm)
Fourier Absorption Total Shape Spectrum
Pade Absorption Total Shape Spectrum
18
18
PADE: FPT
(−)
FOURIER: FFT
B
0
=1.5T
B
0
= 1.5T
N
P
= N/8 = 128
N
P
= N/8 = 128
14
14
10
10
6
6
2
2
0
0
5
4
3
2
1
5
4
3
2
1
(iii) Chemical shift (ppm)
(vi) Chemical shift (ppm)
FIGURE 3.4
Convergence of absorption total shape spectra in the FFT (left) and FPT
(−)
(right) for signal lengths N/32 = 32,N/16 = 64,N/8 = 128.
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