Digital Signal Processing Reference
In-Depth Information
CONSECUTIVE DIFFERENCE SPECTRA (PADE)
1.5
1.5
N/32 = 64
N/4 = 512
1
1
B
0
=7T
B
0
=7T
N/64 = 32
N/8 = 256
0.5
0.5
0
0
−0.5
−0.5
FPT
(−)
(N/32) − FPT
(−)
(N/64)
FPT
(−)
(N/4) − FPT
(−)
(N/8)
−1
−1
−1.5
−1.5
5
4
3
2
1
5
4
3
2
1
(i) Chemical shift (ppm)
(iv) Chemical shift (ppm)
1.5
1.5
N/16 = 128
N/2 = 1024
1
1
B
0
=7T
B
0
=7T
N/32 = 64
N/4 = 512
0.5
0.5
0
0
−0.5
−0.5
FPT
(−)
(N/16) − FPT
(−)
(N/32)
FPT
(−)
(N/2) − FPT
(−)
(N/4)
−1
−1
−1.5
−1.5
5
4
3
2
1
5
4
3
2
1
(ii) Chemical shift (ppm)
(v) Chemical shift (ppm)
1.5
1.5
N/8 = 256
N = 2048
1
B
0
=7T
1
B
0
=7T
N/16 = 128
N/2 = 1024
0.5
0.5
0
0
−0.5
−0.5
FPT
(−)
(N/8) − FPT
(−)
(N/16)
FPT
(−)
(N) − FPT
(−)
(N/2)
−1
−1
−1.5
−1.5
5
4
3
2
1
5
4
3
2
1
(iii) Chemical shift (ppm)
(vi) Chemical shift (ppm)
FIGURE 7.14
The six consecutive absorption difference spectra at 7T from the
FPT
(−)
computed via Re(P
−
/Q
−
)[N/32] − Re(P
−
/Q
−
)[N/64]
(top left panel), Re(P
−
/Q
−
)[N/16]−Re(P
−
/Q
−
)[N/32] (mid
dle left panel), Re(P
−
/Q
−
)[N/8]−Re(P
−
/Q
−
)[N/16] (bottom left
panel), Re(P
−
/Q
−
)[N/4]−Re(P
−
/Q
−
)[N/8] (top right panel),
Re(P
−
/Q
−
)[N/2]−Re(P
−
/Q
−
)[N/4] (middle right panel) and
Re(P
−
/Q
−
)[N]−Re(P
−
/Q
−
)[N/2] (bottom right panel), where N is
the full length (N = 2048) of the FID which has been encoded in Ref. [141].
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