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This study presented a unified perspective of adaptive basis functions to compare Hermite decomposition and wavelet transform for the analysis of cardiovascular physiological signals. Three different algorithms were presented to carry out physiological signal modelling with adaptive Hermite basis functions (HBFs), orthonormal wavelet basis functions (OWBFs) and adaptive wavelet basis functions (AWBFs). The modelling with OWBFs is computationally efficient. However, the concomitant restrictions in mathematics make OWBFs not optimal for compact modelling. In contrast, the optimised AWBFs can model cardiovascular physiological signals compactly with the cost of losing orthonormality. It not only sacrifices the fast implementation but also degrades AWBFs in discriminant analysis. In summary, merely HBFs achieve a balanced performance in compact modelling and discriminant analysis.
References
-
-
1)
-
A.I. Rasiah ,
R. Togneri ,
Y. Attikiouzel
.
Modelling 1-D signals using Hermite basis functions.
IEE Proc. Vis. Image Signal Process.
,
6 ,
345 -
354
-
2)
-
A.L. Goldberger ,
L.A.N. Amaral ,
L. Glass
.
PhysioBank, PhysioToolkit, and PhysioNet: components of a new research resource for complex physiologic signals.
Circulation
,
e215 -
e220
-
3)
-
W.L. Woo ,
L.C. Khor
.
Blind restoration of nonlinearly mixed signals using multilayer polynomial neural network.
IEE Proc., Vis. Image Signal Process.
,
1 ,
51 -
61
-
4)
-
K. Kario ,
N. Yasui ,
H. Yokoi
.
Ambulatory blood pressure monitoring for cardiovascular medicine.
IEEE Eng. Med. Biol.
,
3 ,
81 -
88
-
5)
-
Q. Zhang
.
Using wavelet network in nonparametric estimate.
IEEE Trans. Neural Netw.
,
2 ,
227 -
236
-
6)
-
Q. Zhang ,
A. Benveniste
.
Wavelet networks.
IEEE Trans. Neural Netw.
,
6 ,
889 -
898
-
7)
-
W.L. Woo ,
S.S. Dlay
.
Regularised nonlinear blind signal separation using sparsely connected network.
IEE Proc., Vis. Image Signal Process.
,
1 ,
61 -
73
-
8)
-
I. Daubechies
.
The wavelet transform, time-frequency localization and signal, analysis.
IEEE Trans. Inf. Theory
,
961 -
1005
-
9)
-
B.N. Singh ,
A.K. Tiwari
.
Optimal selection of wavelet basis function applied to ECG signal denoising.
Digit. Signal Process.
,
3 ,
275 -
287
-
10)
-
I. Korhonen ,
J. Parkka ,
M. Van Gils
.
Health monitoring in the home of the future.
IEEE Eng. Med. Biol.
,
3 ,
66 -
73
-
11)
-
D.L. Donoho ,
I.M. Johnstone
.
Minimax estimation via wavelet shrinkage.
Ann. Stat.
,
3 ,
879 -
921
-
12)
-
N. Maglaveras ,
T. Stamkopoulos ,
K. Diamantaras ,
C. Pappas ,
M. Strintzis
.
ECG pattern recognition and classification using non-linear transformations and neural networks: a review.
Int. J. Med. Inf.
,
191 -
208
-
13)
-
M. Lagerholm ,
C. Peterson ,
G. Braccini ,
L. Edenbrt ,
L. Sörnmo
.
Clustering ECG complexes using Hermite functions and self-organizing maps.
IEEE Trans. Biomed. Eng.
,
7 ,
838 -
848
-
14)
-
B.N. Li ,
M.C. Dong ,
M.I. Vai
.
Development of a mobile pulse waveform analyzer for cardiovascular health monitoring.
Comput. Biol. Med.
,
4 ,
438 -
445
-
15)
-
S.C. Saxena ,
V. Kumar ,
S.T. Hamde
.
Feature extraction from ECG signals using wavelet transforms for disease diagnostics.
Int. J. Syst. Sci.
,
13 ,
1073 -
1085
-
16)
-
R.O. Duda ,
P.E. Hart ,
D.G. Stork
.
Pattern classification.
-
17)
-
D.E. Mohrman ,
L.J. Heller
.
(2006)
Cardiovascular physiology.
-
18)
-
K.C. Li
.
Asymptotic optimality of CL and generalized cross-validation: discrete index set.
Ann. Stat.
,
958 -
975
-
19)
-
M. Engin
.
Spectral and wavelet based assessment of congestive heart failure patients.
Comput. Biol. Med.
,
820 -
828
-
20)
-
Z.X. Fei
.
(2003)
Contemporary sphygmography of Chinese medicine.
-
21)
-
C. Zywietz ,
D. Celikag ,
G. Joseph
.
Influence of measurement accuracy on ECG diagnostic statements.
J. Electrocardiol.
,
67 -
72
-
22)
-
Z. Wang ,
X. Ning ,
Y. Zhang ,
G. Du
.
Nonlinear dynamic characteristics analysis of synchronous 12-lead ECG signals.
IEEE Eng. Med. Biol.
,
5 ,
110 -
115
-
23)
-
K. Assaleh ,
H. Ai-Nashash
.
A novel technique for the extraction of fetal ECG using polynomial networks.
IEEE Trans. Biomed. Eng.
,
6 ,
1148 -
1152
-
24)
-
I. Bayram ,
I.W. Selesnick
.
Overcomplete discrete wavelet transforms with rational dilation factors.
IEEE Trans. Signal Process.
,
1 ,
131 -
145
-
25)
-
B.N. Li ,
M.C. Dong ,
M.I. Vai
.
On an automatic delineator for arterial blood pressure waveforms.
Biomed. Signal Process. Control
,
1 ,
76 -
81
-
26)
-
L.T. Hoai ,
S. Osowski ,
M. Stodolski
.
On-line heart beat recognition using Hermite polynomials and neuro-fuzzy network.
IEEE Trans. Instrum. Meas.
,
4 ,
1224 -
1231
-
27)
-
L. Senhadii ,
G. Carrault ,
J.J. Bellanger ,
G. Passariello
.
Comparing wavelet transforms for recognizing cardiac patterns.
IEEE Engng. Med. Biol.
,
2 ,
167 -
173
-
28)
-
G. Basseli ,
S. Cerutti ,
S. Civardi ,
A. Malliani ,
M. Pagani
.
Cardiovascular variability signals: towards the identification of a closed-loop model of the neural control mechanisms.
IEEE Trans. Biomed. Eng.
,
12 ,
1033 -
1046
-
29)
-
R.C. Barr ,
M.S. Spach ,
G.S. Herman-Giddens
.
Selection of the number and positions of measuring locations for electrocardiography.
IEEE Eng. Med. Biol.
,
125 -
138
-
30)
-
R. Benzid ,
F. Marir ,
N.E. Bouguechal
.
Electrocardiogram compression method based on the adaptive wavelet coefficients quantization combined to a modified two-role encoder.
IEEE Signal Process. Lett.
,
6 ,
373 -
376
-
31)
-
W.L. Qian ,
L.Y. Xu ,
F.Y. Chen ,
R.L. Zheng
.
Acquiring characteristics of pulse wave by Gaussian function separation.
Chin. J. Biomed. Eng.
,
1 ,
1 -
7
-
32)
-
I. Daubechies
.
(1992)
Ten lectures on wavelets.
-
33)
-
H. Akaike
.
Statistical predicator identification.
Ann. Inst. Math. Stat.
,
203 -
217
-
34)
-
W.K. Lei ,
B.N. Li ,
M.C. Dong ,
M.I. Vai ,
A. Saad ,
E. Avineri ,
K. Dahal ,
M. Sarfraz ,
R. Roy
.
(2007)
AFC-ECG: an adaptive fuzzy ECG classifier.
-
35)
-
I.W. Selesnick ,
R.G. Baraniuk ,
N.G. Kingsbury
.
The dual-tree complex wavelet transform – a coherent framework for multi-scale signal and image processing.
IEEE Signal Process. Mag.
,
6 ,
123 -
151
-
36)
-
S. Suppappola ,
Y. Sun ,
S.A. Chiaramida
.
Gaussian pulse decomposition: an intuitive model of electrocardiogram waveforms.
Ann. Biomed. Eng.
,
252 -
260
-
37)
-
J.K. Zhang ,
T.N. Davidson ,
K.M. Wong
.
Efficient design of orthonormal wavelet bases for signal representation.
IEEE Trans. Signal Process.
,
7 ,
1983 -
1996
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