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
250
250
Tau
ν
L
= 600 MHz
B
0
PADE: FPT
(−)
N
P
= 1000
PCho (# 4) Unresolved
PE (# 5) Overestimated
ν
L
= 600 MHz
B
0
PADE: FPT
(−)
N
P
= 1000
Converged
8
8
PCho+PE
≈
14.1 T
≈
14.1 T
4+5
4+5
200
200
Malignant
Malignant
150
150
100
100
m−Ins
9
9
β
−Glc
7
7
50
50
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
250
250
Tau
ν
L
= 600 MHz
B
0
PADE: FPT
(−)
N
P
= 1500
ν
L
= 600 MHz
B
0
PADE: FPT
(−)
N
P
= 1500
8
8
14.1 T
Malignant
≈
14.1 T
Malignant
≈
4+5
200
200
Converged
Converged
PE
5
150
150
100
100
m−Ins
9
9
β
−Glc
7
7
PCho
4
50
50
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
(ii) Chemical shift (ppm)
(v) Chemical shift (ppm)
Absorption Component Shape Spectra
Absorption Total Shape Spectrum
250
250
Tau
PADE: FPT
(−)
N
P
= 2000
Converged
PADE: FPT
(−)
N
P
= 2000
Converged
ν
L
= 600 MHz
B
0
ν
L
= 600 MHz
B
0
8
8
14.1 T
Malignant
≈
14.1 T
Malignant
≈
4+5
200
200
PE
5
150
150
100
100
m−Ins
9
9
β
−Glc
7
7
4
PCho
50
50
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
(iii) Chemical shift (ppm)
(vi) Chemical shift (ppm)
FIGURE 10.5
Padereconstructed absorption component spectra (left panels) and total
shape spectra (right panels) for breast cancer based upon in vitro MRS data
from Ref. [395].
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