Digital Signal Processing Reference
In-Depth Information
FOURIER
PADE
2.5
2.5
FFT
FPT
2
2
N/16 = 128
N/16 = 128
1.5
1.5
1
1
0.5
0.5
0
0
−0.5
−0.5
5
4
3
2
1
5
4
3
2
1
(i) Chemical shift (ppm)
(iv) Chemical shift (ppm)
2.5
2.5
FFT
FPT
2
2
N/4 = 512
N/4 = 512
1.5
1.5
1
1
0.5
0.5
0
0
−0.5
−0.5
5
4
3
2
1
5
4
3
2
1
(ii) Chemical shift (ppm)
(v) Chemical shift (ppm)
2.5
2.5
FFT
FPT
2
2
N/2 = 1024
N/2 = 1024
1.5
1.5
1
1
0.5
0.5
0
0
−0.5
−0.5
5
4
3
2
1
5
4
3
2
1
(iii) Chemical shift (ppm)
(vi) Chemical shift (ppm)
FIGURE 8.1
Fourier (FFT) and Pade (FPT
(−)
) absorption spectra computed using the
time signal (divided by 10000) at three partial signal lengths (N/16 =
128,N/4 = 512,N/2 = 1024), where the full signal length is N = 2048, as
encoded in Ref. [141] at 4T from occipital grey matter of a healthy volunteer.
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