Digital Signal Processing Reference
In-Depth Information
TABLE 9.4
Comparison of the Padereconstructed spectral parameters from a theoreti
cally generated FIDs reminiscent of in vitro MRS data as encoded from benign
and malignant ovarian cyst fluids [343]. The reconstructed data converged at
N/16 = 64 (N = 1024) on the middle panels (ii) and (v) for the benign and
malignant case, respectively.
CONVERGENCE of SPECTRAL PARAMETERS and CONCENTRATIONS in FPT
(−)
; SIGNAL LENGTH : N/M, N = 1024, M = 8 − 32
(i) N/32 = 32 (Benign)
(iv) N/32 = 32 (Malignant)
n
o
k
−
k
−
k
|d
−
k
C
−
k
n
o
k
−
k
−
k
|d
−
k
C
−
k
(# k)
Re(
ν
)(ppm) Im(
ν
)(ppm)
| (au)
µ
M/L ww)
(# k)
Re(
ν
)(ppm) Im(
ν
)(ppm)
| (au)
µ
M/L ww)
M
k
M
k
2
1.040033
0.001124
0.038143
124
Val
2
1.039257
0.001406
0.148343
484
Val
4
1.409673
0.001117
0.796643
2603
Lac
4
1.409062
0.001372
2.046372
6688
Lac
5
1.482370
0.005257
0.081645
266
Ala
5
1.446902
0.008300
0.196825
643
Ala
6
1.706966
0.009141
0.035360
115
Lys
6
1.712040
0.004160
0.174575
570
Lys
7
2.207406
0.216536
0.005435
17
Met
7
2.101571
0.031100
0.028695
93
Met
8
2.470151
0.000826
0.082607
270
Gln
8
2.470096
0.000838
0.251929
823
Gln
9
3.058390
0.001607
0.020043
65
Cr
9
3.069839
0.003200
0.028376
92
Cr
10
3.141312
0.002566
0.024686
80
Crn
10
3.165277
0.003440
0.028617
93
Crn
12
5.220345
0.000829
0.424418
1387
Glc
12
5.220345
0.000839
0.079557
260
Glc
−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−
(ii) N/16 = 64 (Benign)
(v) N/16 = 64 (Malignant)
n
k
(# k)
−
k
)(ppm) Im(
ν
−
k
)(ppm)
|d
k
| (au)
C
k
(
µ
M/L ww)
n
k
(# k)
−
k
)(ppm) Im(
ν
−
k
)(ppm)
|d
k
| (au)
C
k
(
µ
M/L ww)
Re(
ν
M
k
Re(
ν
M
k
1
1.020219
0.000818
0.003060
10
Iso
1
1.020219
0.000828
0.024174
79
Iso
2
1.040048
0.000821
0.034578
113
Val
2
1.040048
0.000831
0.120869
395
Val
3
1.330124
0.000822
0.027540
90
Thr
3
1.330124
0.000832
0.075887
248
Thr
4
1.410235
0.000828
0.758570
2479
Lac
4
1.410235
0.000838
2.000000
6536
Lac
5
1.510318
0.000824
0.089657
293
Ala
5
1.510318
0.000834
0.179315
586
Ala
6
1.720125
0.000823
0.030906
101
Lys
6
1.720125
0.000833
0.149939
490
Lys
7
2.130246
0.000819
0.002142
7
Met
7
2.130246
0.000829
0.018972
62
Met
8
2.470118
0.000825
0.084149
275
Gln
8
2.470118
0.000835
0.253366
828
Gln
9
3.050039
0.000822
0.019278
63
Cr
9
3.050039
0.000832
0.020196
66
Cr
10
3.130227
0.000821
0.020808
68
Crn
10
3.130227
0.000831
0.024174
79
Crn
11
3.190136
0.000820
0.004590
15
Cho
11
3.190136
0.000830
0.012852
42
Cho
12
5.220345
0.000829
0.424419
1387
Glc
12
5.220345
0.000839
0.079559
260
Glc
−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−
(iii) N/8 = 128 (Benign)
(vi) N/8 = 128 (Malignant)
n
k
(# k)
−
k
)(ppm) Im(
ν
−
k
)(ppm)
|d
k
| (au)
C
k
(
µ
M/L ww)
n
k
(# k)
−
k
)(ppm) Im(
ν
−
k
)(ppm)
|d
k
| (au)
C
k
(
µ
M/L ww)
Re(
ν
M
k
Re(
ν
M
k
1
1.020219
0.000818
0.003060
10
Iso
1
1.020219
0.000828
0.024174
79
Iso
2
1.040048
0.000821
0.034578
113
Val
2
1.040048
0.000831
0.120869
395
Val
3
1.330124
0.000822
0.027540
90
Thr
3
1.330124
0.000832
0.075887
248
Thr
4
1.410235
0.000828
0.758570
2479
Lac
4
1.410235
0.000838
2.000000
6536
Lac
5
1.510318
0.000824
0.089657
293
Ala
5
1.510318
0.000834
0.179315
586
Ala
6
1.720125
0.000823
0.030906
101
Lys
6
1.720125
0.000833
0.149939
490
Lys
7
2.130246
0.000819
0.002142
7
Met
7
2.130246
0.000829
0.018972
62
Met
8
2.470118
0.000825
0.084149
275
Gln
8
2.470118
0.000835
0.253366
828
Gln
9
3.050039
0.000822
0.019278
63
Cr
9
3.050039
0.000832
0.020196
66
Cr
10
3.130227
0.000821
0.020808
68
Crn
10
3.130227
0.000831
0.024174
79
Crn
11
3.190136
0.000820
0.004590
15
Cho
11
3.190136
0.000830
0.012852
42
Cho
12
5.220345
0.000829
0.424419
1387
Glc
12
5.220345
0.000839
0.079559
260
Glc
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