Digital Signal Processing Reference
In-Depth Information
MULTIPLETS in MRS : PADE COMPONENT SHAPE SPECTRA with PARTIAL SIGNAL LENGTHS N
P
= 54 (TOP), 800 (BOTTOM)
INPUT TIME SIGNAL CONTAINS 27 METABOLITES with SINGLETS, DOUBLETS and TRIPLETS
Absorption Component Shape Spectra : Malignant Prostate Tissue
1500
ν
L
= 500 MHz
PADE : FPT
(−)
K = 27, N
P
= 54
Absence of Dispersive Modes
B
0
≈
11.7 T
1250
16 Missing Resonances
1000
750
500
250
0
4.25
4
3.75
3.5
3.25
3
2.75
2.5
2.25
2
1.75
1.5
1.25
(i) Chemical shift (ppm)
Absorption Component Shape Spectra : Malignant Prostate Tissue
1500
ν
L
= 500 MHz
PADE : FPT
(−)
K = 400, N
P
= 800
Absence of Dispersive Modes
B
0
≈
11.7 T
1250
CONVERGED
1000
750
500
250
0
4.25
4
3.75
3.5
3.25
3
2.75
2.5
2.25
2
1.75
1.5
1.25
(ii) Chemical shift (ppm)
FIGURE 11.7
Convergence of the Pade absorption component spectra for malignant prostate
using in vitro MRS data derived from Ref. [443].
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