Digital Signal Processing Reference
In-Depth Information
PADE COMPONENT SHAPE SPECTRA (Left), TOTAL SHAPE SPECTRA (Right) : PARTIAL SIGNAL LENGTH N
P
= 1500
Types of Tissue on Three Panels : (i) Normal, (ii) Fibroadenoma, (iii) Malignant
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
(−)
PADE: FPT
(−)
7
7
14.1 T
Normal
≈
14.1 T
Normal
≈
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
PCho
GPC
6
6
4
3
Cho
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
≈
14.1 T
Fibroadenoma
PADE: FPT
(−)
N
P
= 1500
Converged
ν
L
= 600 MHz
B
0
≈
14.1 T
Fibroadenoma
PADE: FPT
(−)
N
P
= 1500
Converged
7
7
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
250
250
Tau
PADE: FPT
(−)
N
P
= 1500
Converged
PADE: FPT
(−)
N
P
= 1500
Converged
ν
L
= 600 MHz
B
0
≈
14.1 T
Malignant
ν
L
= 600 MHz
B
0
≈
14.1 T
Malignant
8
8
4+5
200
200
PE
5
150
150
100
100
m−Ins
9
9
−Glc
β
7
7
4
PCho
Cho
50
50
GPC
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 10.7
Padereconstructed converged absorption component spectra (left panels) and
total shape spectra (right panels) at N
P
= 1500 for normal breast tissue (top
panels (i and iv)), benign breast pathology (fibroadenoma) (middle panels (ii
and v) and breast cancer (bottom panels (iii) and (vi)) based upon data from
in vitro data of Ref. [395].
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