Digital Signal Processing Reference
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CONVERGENCE of TOTAL SHAPE SPECTRA in FPT (−) ; BENIGN (Left), MALIGNANT (Right) ; FID LENGTH : N/M, N = 1024, M = 8 − 32
Pade Absorption Total Shape Spectrum
Pade Absorption Total Shape Spectrum
4000
4000
B 0
14.1T
N/32 = 32
FPT (−)
≈
B 0
≈
14.1T
N/32 = 32
FPT (−)
Benign
Malignant
2000
2000
Lac
Lac
Glc
1000
1000
Gln
500
500
300
300
Gln
Val
200
200
Glc
100
100
Lys
Val
Ala
50
50
Ala
30
30
Cr
Crn
20
20
Crn
Cr
Lys
10
10
5
5
Met
3
3
2
2
1
Met
1
0.5
0.5
5
4
3
2
1.5
1
5
4
3
2
1.5
1
(i) Chemical shift (ppm)
(iv) Chemical shift (ppm)
Pade Absorption Total Shape Spectrum
Pade Absorption Total Shape Spectrum
4000
4000
B 0 ≈ 14.1T
N/16 = 64
FPT (−)
B 0 ≈ 14.1T
N/16 = 64
FPT (−)
Lac
Benign
Malignant
Lac
2000
2000
Glc
1000
1000
Gln
Ala
500
500
Lys
300
Converged
300
Converged
Val
Ala
Gln
Thr
200
200
Glc
100
Val
100
Lys
Thr
Crn
Iso
Crn
Met
50
50
Cr
Cr
2 30
2 30
Cho
10
10
Cho
Iso
Met
5
5
3
3
1
1
0.5
0.5
5
4
3
2
1.5
1
5
4
3
2
1.5
1
(ii) Chemical shift (ppm)
(v) Chemical shift (ppm)
Pade Absorption Total Shape Spectrum
Pade Absorption Total Shape Spectrum
4000
4000
B 0
14.1T
N/8 = 128
FPT (−)
≈
B 0
≈
14.1T
N/8 = 128
FPT (−)
Lac
Benign
Malignant
2000
Lac
2000
Glc
1000
1000
Gln
500
500
Ala
Lys
Val
300
Converged
300
Converged
Gln
Ala
Glc
Thr
200
200
100
Lys
Val
100
Thr
Crn
Iso
Crn
50
50
Met
Cr
Cr
30
30
Cho
20
20
10
10
Cho
Iso
Met
5
5
3
3
2
2
1
1
0.5
0.5
5
4
3
2
1.5
1
5
4
3
2
1.5
1
(iii) Chemical shift (ppm)
(vi) Chemical shift (ppm)
FIGURE 9.6
Convergence of absorption total shape spectra via the FPT for the benign and
malignant ovarian cases using input data derived from Ref. [343]. The left
panels correspond to the benign case and the right panels to the malignant
case. The signal lengths are N/32 = 32 (top panels (i), (iv)), N/16 = 64
(middle panels (ii), (v)), and N/8 = 128 (bottom panels (iii), (vi)), where N
is the full signal length (N = 1024).
 
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