On the condition of four-parameter sine wave fitting

Computer Standards and Interfaces

Volumn 29, Issue 2, 2007, Pages 174-183

  Chen, Kui Fu ^a  

^a CHINA AGRICULTURAL UNIVERSITY   (China)

Author keywords

Condition number; Eigenvalues; Four parameter sine wave; Least square error; Matrix perturbation

Indexed keywords

ALGORITHMS; APPROXIMATION THEORY; ITERATIVE METHODS; PERTURBATION TECHNIQUES; PROBLEM SOLVING;

CONDITION NUMBER; FOUR-PARAMETER SINE WAVE; LEAST SQUARE ERROR; MATRIX PERTURBATION;

WAVE EQUATIONS;

EID: 33751525722     PISSN: 09205489     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.csi.2006.03.004     Document Type: Article

References (37)

1. Wegener C., and Kennedy M.P. Testing ADCs for static and dynamic INL-killing two birds with one stone. Computer Standards and Interfaces 26 (2004) 15-20
2. Kollar I. Evaluation of sine wave tests of ADCs from windowed data. Computer Standards and Interfaces 22 (2000) 261-268
3. da Silva M.F., and Serra A.C. New methods to improve convergence of sine fitting algorithms. Computer Standards and Interfaces 25 (2003) 23-31
4. Arpaia P., and Schumny H. International standardization of ADC-based measuring systems-state of the art. Computer Standards and Interfaces 19 (1998) 173-188
5. Bilau T.Z., Megyeri T., Sarhegyi A., Markus J., and Kollar I. Four-parameter fitting of sine wave testing result: iteration and convergence. Computer Standards and Interfaces 26 (2004) 51-56
6. Cruz Serra A., Alegria F., Martins R., and Fonseca da Silva M. Analog-to-digital converter testing - new proposals. Computer Standards and Interfaces 26 (2004) 3-13
7. Blaira J.J., and Linnenbrinkb T.E. Corrected rms error and effective number of bits for sine wave ADC tests. Computer Standards and Interfaces 26 (2003) 43-49
8. Bellan D., Brandolini A., di Rienzo L., and Gandelli A. Improved definition of the effective number of bits in ADC testing. Computer Standards and Interfaces 19 (1998) 231-236
9. Filipski E., Delaunay F., and King V.M. Effects of chronic jet lag on tumor progression in mice. Cancer Research 64 (2004) 7879-7885
10. Debon R., Boselli E., and G.R. Chronopharmacology of intrathecal sufentanil for labor analgesia - daily variations in duration of action. Anesthsiology 101 (2004) 978-982
11. Reilly T., and Bambacichi E. Methodological issues in studies of rhythms in human performance. Biological Rhythm Research 34 (2003) 321-336
12. Pasqua I.C., and Moreno C.R.C. The nutritional status and eating habits of shift workers: a chronobiological approach. Chronobiology International 21 (2004) 949-960
13. Albert P.S., and Hunsberger S. On analyzing circadian rhythms data using nonlinear mixed models with harmonic terms. Biometrics 61 (2005) 1115-1120
14. Gaudi B.S., Stanek K.Z., Hartman J.D., Holman M.J., and McLeod B.A. On the rotation period of (90377) Sedna. Astrophysical Journal 629 (2005) L49-L52
15. Vig S., Ghosh S.K., and Ojha D.K. Warp signatures of the galactic disk as seen in mid infrared from midcourse space experiment. Astronomy and Astrophysics 436 (2005) 867-877
16. Bychkov V.D., Bychkova L.V., and Madej J. Catalog of stellar magnetic rotational phase curves. Astronomy and Astrophysics 430 (2005) 1143-1154
17. Homer L., Anderson S.F., Margon B., Downes R.A., and Deutsch E. Optical identification of the X-ray burster X1746-370 in the globular cluster NGC 6441. Astronomical Journal 123 (2002) 3255-3262
18. Ortiz J.L., Sota A., Moreno R., Lellouch E., Biver N., Doressoundiram A., Rousselot P., Gutierrez P., Marquez R., Delgado R., and Casanova V. A study of Trans-Neptunian object 55636 (2002 TX300). Astronomy and Astrophysics 420 (2004) 383-388
19. Callaway J., Storvik M., Halonen P., Hakko H., Rasanen P., and Tiihonen J. Seasonal variations in [H-3]citalopram platelet binding between healthy controls and violent offenders in Finland. Human Psychopharmacology Clinical and Experimental 20 (2005) 467-472
20. Pears N., Liang B.J., and Chen Z.Z. Mobile robot visual navigation using multiple features. EURASIP Journal on Applied Signal Processing VL (2005) 2250-2259
21. Wilson D.F., Vinogradov S.A., Grosul P., Kuroki A., and Bennett J. Imaging oxygen pressure in the retina of the mouse eye. Advances In Experimental Medicine and Biology-Oxygen Transport to Tissue XXVI 566 (2005) 159-165
22. Villa J., Quiroga J.A., and Gomez-Pedrero J.A. Measurement of retardation in digital photoelasticity by load stepping using a sinusoidal least-squares fitting. Optics and Lasers in Engineering 41 (2004) 127-137
23. Yakushin S.B., Xiang Y.Q., Raphan T., and Cohen B. Spatial distribution of gravity-dependent gain changes in the vestibuloocular reflex. Journal of Neurophysiology 93 (2005) 3693-3698
24. Si X.H., Angelaki D.E., and Dickman J.D. Response properties of pigeon otolith afferents to linear acceleration. Experimental Brain Research 117 (1997) 242-250
25. Siebold C., Anagnostou, Glasauer S.E., Glonti L., Kleine J., Tchelidze T., and Buttner U. Canal-otolith interaction in the fastigial nucleus of the alert monkey. Experimental Brain Research 136 (2001) 169-178
26. Baccigalupi A. ADC testing methods. Measurement 26 (1999) 199-205
27. Jenq Y.C., and Crosby P.B. Sinewave parameter-estimation algorithm with application to waveform digitizer effective bits measurement. IEEE Transactions on Instrumentation and Measurement 37 (1988) 529-532
28. Zhang J.Q., and Ovaska S.J. ADC characterization based on singular value decomposition. IEEE Transactions on Instrumentation and Measurement 51 (2002) 138-143
29. Zhang J.Q., Zhao X.M., Hu X., and Sun J.W. Sinewave fit algorithm based on total least-squares method with application to ADC effective bits measurement. IEEE Transactions on Instrumentation and Measurement 46 (1997) 1026-1030
30. Kuffel J., McComb T.R., and Malewski R. Comparative-evaluation of computer methods for calculating the best-fit sinusoid to the digital record of a high-purity sine wave. IEEE Transactions on Instrumentation and Measurement 36 (1987) 418-422
31. Mccomb T.R., Kuffel J., and Le Roux B.C. A comparative-evaluation of some practical algorithm used in the effective bits test of waveform recorders. IEEE Transactions on Instrumentation and Measurement 38 (1989) 37-42
32. Pintelon R., and Schoukens J. An improved sine-wave fitting procedure for characterizing data acquisition channels. IEEE Transactions on Instrumentation and Measurement 45 (1996) 588-593
33. Haddadi D., Dallet D., and Marchegay P. Hybrid Newton Gauss-Newton algorithm for time-domain analysis of A/D converters. IEEE Transactions on Circuits and Systems II-Analogy and Digital Signal Processing 47 (2000) 655-659
34. Andersson T., and Händel P. IEEE standard 1057, Cramér-Rao bound and the parsimony principle. IEEE Transactions on Instrumentation and Measurement 55 (2006) 44-53
35. Chen K.F. Improving four-parameter sine wave fitting by normalizing. Computer Standards and Interfaces 29 (2007) 184-190
36. Handel P. Properties of the IEEE-STD-1057 four-parameter sine wave fit algorithm. IEEE Transactions on Instrumentation and Measurement 49 (2000) 1189-1193
37. Stewart G.W., and Sun J.G. Matrix Perturbation Theory (1990), Academic Press, New York