Digital Signal Processing Reference
In-Depth Information
TABLE 6.3
Twelve digit accuracy for all the 25 complex frequencies and amplitudes re
constructed by the FPT (−)
at signal lengths N/4 = 256 and N = 1024.
MACHINE ACCURACY of FPT (−) for QUANTIFICATION ; FID LENGTH: N/4 = 256, N = 1024
Accuracy of FPT (−) for every parameter of each resonance: 12 Exact Digits (ED −
k )
n o
k
−
k ) (ppm)
ED −
k
−
k ) (ppm)
ED −
k
|d −
ED −
k
Re(
ν
Im(
ν
k | (au)
1
0.98503147283
12
0.18003158592
12
0.12202458746
12
2
1.11201283942
12
0.25701463975
12
0.16101129387
12
3
1.54804437561
12
0.17202346512
12
0.13501532472
12
4
1.68902546965
12
0.11804159816
12
0.03403258327
12
5
1.95903149379
12
0.06201541256
12
0.05603432458
12
6
2.06504523854
12
0.03103281453
12
0.17101383971
12
7
2.14502148923
12
0.05002435671
12
0.11602423465
12
8
2.26103238547
12
0.06201591724
12
0.09203547326
12
9
2.41101584725
12
0.06204158493
12
0.08502124847
12
10
2.51902465396
12
0.03602852174
12
0.03703732654
12
11
2.67602157683
12
0.03303465795
12
0.00801253419
12
12
2.67602157684
12
0.06201513458
12
0.06302642348
12
13
2.85501349581
12
0.01602478536
12
0.00502416737
12
14
3.00903254937
12
0.06404152367
12
0.06501248591
12
15
3.06702138733
12
0.03603245678
12
0.10103549132
12
16
3.23901528474
12
0.05001584372
12
0.09602363474
12
17
3.30102372562
12
0.06402158967
12
0.06501467513
12
18
3.48101278659
12
0.03104627543
12
0.01103173534
12
19
3.58402513273
12
0.02803513684
12
0.03602382512
12
20
3.69401319485
12
0.03601275683
12
0.04103493165
12
21
3.80303438676
12
0.02402174915
12
0.03103265173
12
22
3.94401324818
12
0.04204712356
12
0.06801528345
12
23
3.96502574264
12
0.06201328748
12
0.01302356831
12
24
4.27103483491
12
0.05503491376
12
0.01602147862
12
25
4.68000000000
12
0.10802134657
12
0.05703576583
12
(i) Partial FID Length: N P = N/4 = 256
−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−
Accuracy of FPT (−) for every parameter of each resonance: 12 Exact Digits (ED −
k )
n o
k
−
k ) (ppm)
ED −
k
−
k ) (ppm)
ED −
k
|d −
ED −
k
Re(
ν
Im(
ν
k | (au)
1
0.98503147283
12
0.18003158592
12
0.12202458746
12
2
1.11201283942
12
0.25701463975
12
0.16101129387
12
3
1.54804437561
12
0.17202346512
12
0.13501532472
12
4
1.68902546965
12
0.11804159816
12
0.03403258327
12
5
1.95903149379
12
0.06201541256
12
0.05603432458
12
6
2.06504523854
12
0.03103281453
12
0.17101383971
12
7
2.14502148923
12
0.05002435671
12
0.11602423465
12
8
2.26103238547
12
0.06201591724
12
0.09203547326
12
9
2.41101584725
12
0.06204158493
12
0.08502124847
12
10
2.51902465396
12
0.03602852174
12
0.03703732654
12
11
2.67602157683
12
0.03303465795
12
0.00801253419
12
12
2.67602157684
12
0.06201513458
12
0.06302642348
12
13
2.85501349581
12
0.01602478536
12
0.00502416737
12
14
3.00903254937
12
0.06404152367
12
0.06501248591
12
15
3.06702138733
12
0.03603245678
12
0.10103549132
12
16
3.23901528474
12
0.05001584372
12
0.09602363474
12
17
3.30102372562
12
0.06402158967
12
0.06501467513
12
18
3.48101278659
12
0.03104627543
12
0.01103173534
12
19
3.58402513273
12
0.02803513684
12
0.03602382512
12
20
3.69401319485
12
0.03601275683
12
0.04103493165
12
21
3.80303438676
12
0.02402174915
12
0.03103265173
12
22
3.94401324818
12
0.04204712356
12
0.06801528345
12
23
3.96502574264
12
0.06201328748
12
0.01302356831
12
24
4.27103483491
12
0.05503491376
12
0.01602147862
12
25
4.68000000000
12
0.10802134657
12
0.05703576583
12
(ii) Full FID Length: N = 1024
 
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