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
85
85
β
−Glc
PADE: FPT
(−)
N
P
= 1000
PCho (# 4) Unresolved
ν
L
= 600 MHz
B
0
ν
L
= 600 MHz
B
0
PADE: FPT
(−)
N
P
= 1000
Converged
7
7
14.1 T
Fibroadenoma
≈
14.1 T
Fibroadenoma
≈
68
68
PE (# 5) Overestimated
51
51
m−Ins
PCho+PE
9
4+5
9
4+5
34
34
Tau
8
8
17
17
GPC
6
6
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
(i) Chemical shift (ppm)
(iv) Chemical shift (ppm)
Absorption Component Shape Spectra
Absorption Total Shape Spectrum
85
85
β
−Glc
ν
L
= 600 MHz
B
0
ν
L
= 600 MHz
B
0
PADE: FPT
(−)
N
P
= 1500
Converged
PADE: FPT
(−)
N
P
= 1500
Converged
7
7
14.1 T
Fibroadenoma
≈
14.1 T
Fibroadenoma
≈
68
68
51
51
m−Ins
4+5
9
9
PE
34
34
Tau
5
8
8
17
17
PCho
GPC
4
6
6
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
85
85
β
−Glc
ν
L
= 600 MHz
B
0
ν
L
= 600 MHz
B
0
PADE: FPT
(−)
N
P
= 2000
Converged
PADE: FPT
(−)
N
P
= 2000
Converged
7
7
≈
14.1 T
≈
14.1 T
68
68
Fibroadenoma
Fibroadenoma
51
51
m−Ins
4+5
9
9
PE
34
34
Tau
5
8
8
17
17
PCho
GPC
4
6
6
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 10.3
Padereconstructed absorption component spectra (left panels) and total
shape spectra (right panels) for benign breast pathology (fibroadenoma) based
upon in vitro MRS data from Ref. [395].
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