Digital Signal Processing Reference
In-Depth Information
PADE COMPONENT SHAPE SPECTRA (Left), TOTAL SHAPE SPECTRA (Right) : PARTIAL SIGNAL LENGTHS N
P
= 1000, 1500, 2000
Absorption Component Shape Spectra
Absorption Total Shape Spectrum
40
40
β
−Glc
ν
L
= 600 MHz
B
0
ν
L
= 600 MHz
B
0
PADE: FPT
(−)
N
P
= 1000
PCho (# 4) Unresolved
PE (# 5) Overestimated
PADE: FPT
(−)
7
7
14.1 T
Normal
≈
14.1 T
Normal
≈
N
P
= 1000
32
32
Converged
m−Ins
24
24
9
9
16
16
PCho+PE
Tau
4+5
4+5
8
8
8
8
GPC
Cho
6
6
3
3
0
0
3.3
3.28
3.26
3.24
3.22
3.2
3.3
3.28
3.26
3.24
3.22
3.2
(i) Chemical shift (ppm)
(iv) Chemical shift (ppm)
Absorption Component Shape Spectra
Absorption Total Shape Spectrum
40
40
β
−Glc
ν
L
= 600 MHz
B
0
≈
14.1 T
Normal
ν
L
= 600 MHz
B
0
≈
14.1 T
Normal
PADE: FPT
(−)
PADE: FPT
(−)
7
7
N
P
= 1500
N
P
= 1500
32
32
Converged
Converged
m−Ins
24
24
9
9
16
16
Tau
PE
4+5
8
8
5
8
8
GPC
PCho
6
6
4
Cho
3
3
0
0
3.3
3.28
3.26
3.24
3.22
3.2
3.3
3.28
3.26
3.24
3.22
3.2
(ii) Chemical shift (ppm)
(v) Chemical shift (ppm)
Absorption Component Shape Spectra
Absorption Total Shape Spectrum
40
40
β
−Glc
ν
L
= 600 MHz
B
0
≈
14.1 T
Normal
ν
L
= 600 MHz
B
0
≈
14.1 T
Normal
PADE: FPT
(−)
PADE: FPT
(−)
7
7
N
P
= 2000
N
P
= 2000
32
32
Converged
Converged
m−Ins
24
24
9
9
16
16
Tau
PE
4+5
8
8
5
8
8
GPC
PCho
6
6
4
Cho
3
3
0
0
3.3
3.28
3.26
3.24
3.22
3.2
3.3
3.28
3.26
3.24
3.22
3.2
(iii) Chemical shift (ppm)
(vi) Chemical shift (ppm)
FIGURE 10.1
Padereconstructed absorption component spectra (left panels) and total
shape spectra (right panels) for normal breast based upon in vitro MRS data
from Ref. [395].
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