Digital Signal Processing Reference
In-Depth Information
Convergence of Metabolite Concentrations Reconstructed by FPT (−) : Partial Signal Lengths N P = 1000, 1500, 2000
Two Sets of Independent Abscissae and Ordinates: [Bottom,Left] ## 3−9 (Cho,...,m−Ins) and [Top,Right] ## 1, 2 (Lac,Ala)
Metabolite Map for Concentrations: x (Input Data), o (Pade−Reconstructed Data)
2.6
2.32
2.04
1.76
1.48
1.2
0.5
0.6
PADE: FPT (−)
N P = 1000
PCho (# 4) Unresolved
PE (# 5) Overestimated
ν L = 600 MHz
B 0
7
(3.25 ppm, 0.45
0.4
0.48
1
(1.33, 0.504)
Lac
µ
M/g ww)
m−Ins
β
−Glc
(3.28, 0.286)
9
0.3
0.36
PCho+PE
14.1 T
Tau
(3.22, 0.148)
0.2
0.24
(3.27, 0.1325)
4+5
Normal
8
Ala
(1.47, 0.0875)
0.1
0.12
2
GPC
6
(3.23, 0.032)
Cho
3
(3.21, 0.017)
0
0
3.3
3.26
3.22
3.18
3.14
3.1
(i) Chemical shift (ppm)
Metabolite Map for Concentrations: x (Input Data), o (Pade−Reconstructed Data)
2.6
2.32
2.04
1.76
1.48
1.2
0.5
0.6
PADE: FPT (−)
N P = 1500
CONVERGED
ν L = 600 MHz
B 0 14.1 T
Normal
7
(3.25 ppm, 0.45
0.4
0.48
1
(1.33, 0.504)
Lac
µ
M/g ww)
m−Ins
β
−Glc
(3.28, 0.286)
9
0.3
0.36
Tau
PE
0.2
0.24
(3.27, 0.1325)
(3.22, 0.129)
8
5
Ala
(1.47, 0.0875)
0.1
0.12
2
GPC
PCho
(3.22, 0.019)
6
(3.23, 0.032)
4
3
Cho
(3.21, 0.017)
0
0
3.3
3.26
3.22
3.18
3.14
3.1
(ii) Chemical shift (ppm)
Metabolite Map for Concentrations: x (Input Data), o (Pade−Reconstructed Data)
2.6
2.32
2.04
1.76
1.48
1.2
0.5
0.6
PADE: FPT (−)
N P = 2000
CONVERGED
ν L = 600 MHz
B 0
7
(3.25 ppm, 0.45
0.4
0.48
µ
M/g ww)
1
(1.33, 0.504)
Lac
m−Ins
β −Glc
(3.28, 0.286)
9
0.3
0.36
14.1 T
Tau
PE
Normal
0.2
0.24
(3.27, 0.1325)
(3.22, 0.129)
8
5
Ala
(1.47, 0.0875)
0.1
2
0.12
GPC
PCho
(3.22, 0.019)
6
4
Cho
3
(3.21, 0.017)
(3.23, 0.032)
0
0
3.3
3.26
3.22
3.18
3.14
3.1
(iii) Chemical shift (ppm)
FIGURE 10.2
Padereconstructed metabolite concentrations in normal breast based upon in
vitro MRS data from Ref. [395].
 
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