Digital Signal Processing Reference
In-Depth Information
TABLE 6.1
Twelve digit numerical values for all the input spectral parameters: the real
Re(ν
k
) and the imaginary Im(ν
k
) part of complexvalued frequencies ν
k
, and
the absolute values|d
k
|of amplitudes d
k
of 25 damped complex exponentials
from the synthesized time signal similar to a short echo time (∼20 ms) encoded
FID via MRS at the magnetic field strength B
0
=1.5 T from a healthy human
brain as in Ref. [88]. Every phase{φ
k
}of the amplitudes is equal to zero,
such that each d
k
is purely real, d
k
=|d
k
|exp (iφ
k
) =|d
k
|.
INPUT DATA for ALL SPECTRAL PARAMETERS of a SYNTHESIZED TIME SIGNAL or FID
n
o
k
Re(
ν
k
) (ppm)
Im(
ν
k
) (ppm)
|d
k
| (au)
M
k
1
0.98503147283
0.18003158592
0.12202458746
Lip
2
1.11201283942
0.25701463975
0.16101129387
Lip
3
1.54804437561
0.17202346512
0.13501532472
Lip
4
1.68902546965
0.11804159816
0.03403258327
Lip
5
1.95903149379
0.06201541256
0.05603432458
Gaba
6
2.06504523854
0.03103281453
0.17101383971
NAA
7
2.14502148923
0.05002435671
0.11602423465
NAAG
8
2.26103238547
0.06201591724
0.09203547326
Gaba
9
2.41101584725
0.06204158493
0.08502124847
Glu
10
2.51902465396
0.03602852174
0.03703732654
Gln
11
2.67602157683
0.03303465795
0.00801253419
Asp
12
2.67602157684
0.06201513458
0.06302642348
NAA
13
2.85501349581
0.01602478536
0.00502416737
Asp
14
3.00903254937
0.06404152367
0.06501248591
Cr
15
3.06702138733
0.03603245678
0.10103549132
PCr
16
3.23901528474
0.05001584372
0.09602363474
Cho
17
3.30102372562
0.06402158967
0.06501467513
PCho
18
3.48101278659
0.03104627543
0.01103173534
Tau
19
3.58402513273
0.02803513684
0.03602382512
m−Ins
20
3.69401319485
0.03601275683
0.04103493165
Glu
21
3.80303438676
0.02402174915
0.03103265173
Gln
22
3.94401324818
0.04204712356
0.06801528345
Cr
23
3.96502574264
0.06201328748
0.01302356831
PCr
24
4.27103483491
0.05503491376
0.01602147862
PCho
25
4.68000000000
0.10802134657
0.05703576583
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