Digital Signal Processing Reference
In-Depth Information
MULTIPLETS in MRS : PADE TOTAL SHAPE SPECTRA with PARTIAL SIGNAL LENGTHS N
P
= 54 (TOP), 800 (BOTTOM)
INPUT TIME SIGNAL CONTAINS 27 METABOLITES with SINGLETS, DOUBLETS and TRIPLETS
Absorption Total Shape Spectrum : Normal Glandular Prostate Tissue
1000
ν
L
= 500 MHz
PADE : FPT
(−)
Admixture of Dispersive Modes
800
B
0
11.7 T
≈
K = 27, N
P
= 54
600
15 Missing Resonances
400
200
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 Total Shape Spectrum : Normal Glandular Prostate Tissue
1000
ν
L
= 500 MHz
PADE : FPT
(−)
Absence of Dispersive Modes
800
B
0
≈
11.7 T
K = 400, N
P
= 800
600
CONVERGED
400
200
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 11.2
Pade absorption total shape spectra for normal glandular prostate using in
vitro MRS data derived from Ref. [443]. Panel (i) is at N
P
= 54 and the
converged spectrum at N
P
= 800 is shown on panel (ii).
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