Digital Signal Processing Reference
In-Depth Information
EXACT RECONSTRUCTION of SPECTRAL PARAMETERS, CONCENTRATIONS and ABSORPTION COMPONENT SPECTRA : FPT
(−)
Peak #
Position
Width
|Amplitude|
Peak #
Chem. Sh.
Relax. t.
Concentr.
Fraction
Metabol.
1
0.985
0.180
0.122
1
0.985
0.087
7.930
0.71
Lip
2
1.112
0.257
0.161
2
1.112
0.061
10.46
0.94
Lip
3
1.548
0.172
0.135
3
1.548
0.091
8.775
0.79
Lip
4
1.689
0.118
0.034
4
1.689
0.133
2.210
0.20
Lip
5
1.959
0.062
0.056
5
1.959
0.253
3.640
0.33
Gaba
6
2.065
0.031
0.171
6
2.065
0.505
11.12
1.00
NAA
7
2.145
0.050
0.116
7
2.145
0.313
7.540
0.68
NAAG
8
2.261
0.062
0.092
8
2.261
0.253
5.980
0.54
Gaba
9
2.411
0.062
0.085
9
2.411
0.253
5.525
0.50
Glu
10
2.519
0.036
0.037
10
2.519
0.435
2.405
0.22
Gln
11
2.675
0.033
0.008
11
2.675
0.474
0.520
0.05
Asp
12
2.676
0.062
0.063
12
2.676
0.253
4.095
0.37
NAA
13
2.855
0.016
0.005
13
2.855
0.979
0.325
0.03
Asp
14
3.009
0.064
0.065
14
3.009
0.245
4.225
0.38
Cr
15
3.067
0.036
0.101
15
3.067
0.435
6.565
0.59
PCr
16
3.239
0.050
0.096
16
3.239
0.313
6.240
0.56
Cho
17
3.301
0.064
0.065
17
3.301
0.245
4.225
0.38
PCho
18
3.481
0.031
0.011
18
3.481
0.505
0.715
0.06
Tau
19
3.584
0.028
0.036
19
3.584
0.559
2.340
0.21
m−Ins
20
3.694
0.036
0.041
20
3.694
0.435
2.665
0.24
Glu
21
3.803
0.024
0.031
21
3.803
0.652
2.015
0.18
Gln
22
3.944
0.042
0.068
22
3.944
0.373
4.420
0.40
Cr
23
3.965
0.062
0.013
23
3.965
0.253
0.845
0.08
PCr
24
4.271
0.055
0.016
24
4.271
0.285
1.040
0.09
PCho
25
4.680
0.108
0.057
25
4.680
0.145
3.705
0.33
Water
(i) N
P
=256: Position (ppm), Width (ppm), |Amplitude| (au)
(iv) N
P
=256: Ch. Sh. (ppm), Relax. T
2
(s), Conc. (mM/g ww)
Absorption Component Shape Spectra
Absorption Total Shape Spectrum
18
18
PADE: FPT
(−)
PADE: FPT
(−)
B
0
=1.5T
B
0
=1.5T
N
P
= N/4 = 256
N
P
= N/4 = 256
14
14
6
5+6+7
14+15
10
10
16+17
15
8
22+23
9
6
7
6
10
21
19
20
11+12
16
1+2
22
3+4
8
9
21
19
20
18
13
17
14
12
10
25
5
24
3
2
1
2
2
25
24
18
13
11
4
23
0
0
5
4
3
2
1
5
4
3
2
1
(ii) Chemical shift (ppm)
(v) Chemical shift (ppm)
Absorption Component Shape Spectra
Absorption Total Shape Spectrum
18
18
PADE: FPT
(−)
PADE: FPT
(−)
B
0
=1.5T
NAA
B
0
=1.5T
N
P
= N/4 = 256
N
P
= N/4 = 256
14
14
6
NAA
Cr
Cr
PCr
PCr
NAAG
NAAG
10
10
Cho
PCho
Cho
PCho
Gaba
Gaba
Glu
Gln
Glu
Gln
Cr
15
Cr
Glu
Ins
Tau
Glu
Ins
Tau
PCr
PCr
NAA
Gaba
6
7
6
NAA
Gln
Gln
Mobile
Lip (4x)
Asp
Asp
Gaba
16
Mobile
Lip (4x)
22
Asp
Asp
8
9
21
19
20
H
2
O
H
2
O
17
14
12
10
PCho
5
PCho
3
2
1
2
2
25
24
18
13
11
4
23
0
0
5
4
3
2
1
5
4
3
2
1
(iii) Chemical shift (ppm)
(vi) Chemical shift (ppm)
FIGURE 8.2
Spectral peak parameters [panel (i)], metabolite concentrations [panel (iv)]
and absorption component [panels (ii), (iii)] and total [panels (v), (vi)] shape
spectra for a synthesized FID from chapter 3 reminiscent of time signals typ
ically encoded clinically from healthy human brain via MRS at B
0
=1.5T,
TE = 20 ms, full length N = 1024, bandwidth 1000 Hz and τ = 1 ms [88].
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