The dual channel sinewave model: Co-prime sparse sampling, parameter estimation, and the Cramér-Rao Bound

Measurement: Journal of the International Measurement Confederation

Volumn 45, Issue 9, 2012, Pages 2254-2263

  Negusse, Senay ^a   Händel, Peter ^a  

^a ROYAL INSTITUTE OF TECHNOLOGY   (Sweden)

Author keywords

Coprime sampling; Cram r Rao Bound (CRB); Dual channel measurement; Sinewave fit; Sparse sampling

Indexed keywords

COPRIME; DATA SETS; DUAL CHANNEL; MEAN SQUARED ERROR; MEASUREMENT TIME; PERFORMANCE BASED; SAMPLING FREQUENCIES; SINE-WAVE; SPARSE SAMPLING;

MEASUREMENTS;

PARAMETER ESTIMATION;

EID: 84865241239     PISSN: 02632241     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.measurement.2012.03.021     Document Type: Conference Paper

References (46)

1. H.J. Kadim, A proposed strategy for testing and verification of complex chip, in: Proceedings Solid-State and Integrated Circuits Technology, vol. 3, 2004.
2. E.J. Candés, J. Romberg, and T. Tao Robust uncertainty principles: exact signal reconstruction from highly incomplete frequency information IEEE Transactions on Information Theory 52 2 2006 489 509 (Pubitemid 43174093)
3. D.L. Donoho Compressed ssensing IEEE Transactions on Information Theory 52 4 2006
4. H. Rauhut, k. Schnass, and P. Vandergheynst Compressed sensing and redundant dictionaries IEEE Transactions on Information Theory 54 5 2008
5. E.J. Candés, J. Romberg, and T. Tao Stable signal recovery from incomplete and inaccurate measurements Communications on Pure and Applied Mathematics 59 8 2006 1207 1223 (Pubitemid 43988295)
6. D.L. Donoho, M. Elad, and V. Temlyakov Stable recovery of sparse overcomplete representations in the presence of noise IEEE Transactions on Information Theory 52 1 2006 6 18 (Pubitemid 43263116)
7. A.C. Gilbert, and J.A. Tropp Signal recovery from random measurements via orthogonal matching pursuit IEEE Transactions on Information Theory 53 12 2007 4655 4666
8. IEEE Standard for DigitizingWaveform Recorders, IEEE Std. 1057, April 2008.
9. P. Händel Properties of the IEEE-STD-1057 four-parameter sine wave fit algorithm IEEE Transactions on Instrumentation and Measurement 49 6 2000 1189 1193 (Pubitemid 32169309)
10. D. Belega, D. Dallet, D. Petri, Performance comparison of the three-parameter and the four-parameter sine-fit algorithms, I2MTC 2011, Binjiang, China, May 2011, pp. 1-4.
11. T. Andersson, and P. Händel IEEE Standard 1057, Cramér-Rao bound and the parsimony principle IEEE Transactions on Instrumentation and Measurement 55 1 2006 44 53 (Pubitemid 43193089)
12. T.Z. Bilau, T. Megyeri, A. Sarhegyi, J. Márkus, and I. Kollár Four parameter fitting of sine wave testing result: iteration and convergence Computer Standards and Interfaces 26 1 2003 51 56
13. M. Fonseca da Silva, P.M. Ramos, and A. Cruz Serra A new four parameter sine fitting procedure Measurement 35 2 2004 131 137
14. P. Händel Amplitude estimation using IEEE-STD-1057 three-parameter sine wave fit: statistical distribution, bias and variance Measurement 43 6 2010 766 770
15. K.-F. Chen, and Y.-M. Xue Four-parameter sine wave fitting by Gram-Schmidt orthogonalization Measurement 41 1 2008 76 87 (Pubitemid 350151545)
16. M. Fonseca da Silva, and A. Cruz Serra New methods to improve convergence of sine fitting algorithms Computer Standards and Interfaces 25 1 2003 23 31 (Pubitemid 35432730)
17. A. Sárhegyi, I. Kollár, Robust sine wave fitting in ADC testing, in: Proc. IEEE Instrum. Meas. Technol. Conf., Sorrento, Italy, April 2006, pp. 914-919. (Pubitemid 350089475)
18. L. Balogh, B. Fodor, A. Sárhegyi and I. Kollár, Maximum likelihood estimation of ADC parameters from sine wave test data, in: Proc. 12th Workshop ADC Modell. Test., Iasi, Romania, September 2007.
19. K.-F. Chen Estimating parameters of a sine wave by separable nonlinear least squares fitting IEEE Transactions on Instrumentation and Measurement 59 12 2010 3214 3217
20. R. Pintelon, and J. Schoukens An improved sine-wave fitting procedure for characterizing data acquisition channels IEEE Transactions on Instrumentation and Measurement 44 1996 588 593 (Pubitemid 126781522)
21. J. Schoukens, R. Pintelon, and G. Vandersteen A sinewave fitting procedure for characterizing data acquisition channels in the presence of time base distortion and time jitter IEEE Transactions on Instrumentation and Measurement 46 4 1997 1005 1010 (Pubitemid 127771668)
22. P.M. Ramos, M. Fonseca da Silva, R.C. Martins, and A. Cruz Serra Simulation and experimental results of multiharmonic least-squares fitting algorithms applied to periodic signals IEEE Transactions on Instrumentation and Measurement 55 2 2006 646 651
23. T. Andersson, and P. Händel Multiple-tone estimation by IEEE standard 1057 and the expectation-maximization algorithm IEEE Transactions on Instrumentation and Measurement 54 2005 1833
24. G. Simon, R. Pintelon, L. Sujbert, and J. Schoukens, An efficient nonlinear least square multisine fitting algorithm, in: Proc. IEEE Instrum. Meas. Technol. Conf., May 2001, pp. 1196-1201. (Pubitemid 32883940)
25. P.M. Ramos, and A.C. Serra Least squares multiharmonic fitting: convergence improvements IEEE Transactions on Instrumentation and Measurement 56 4 2007 1412 1418 (Pubitemid 47249908)
26. J. Márkus, I. Kollár, Standard framework for IEEE-STD-1241 in Matlab, in: Proc. IEEE Instrum. Meas. Technol. Conf., Budapest, Hungary, May 2001, pp. 1847-1852. (Pubitemid 32883791)
27. J. Blair, and T. Linnenbrink Corrected RMS error and effective number of bits for sinewave ADC tests Computer Standards and Interfaces 26 1 2004 43 49
28. I. Kollár Evaluation of sine wave tests of ADCs from windowed data Computer Standards and Interfaces 22 2000 261 268
29. T. Radil, P.M. Ramos, and A.C. Serra Impedance measurement with sine-fitting algorithms implemented in a DSP portable device IEEE Transactions on Instrumentation and Measurement 57 1 2008 197 204
30. N.M. Vucijak, N.M. Radojevic, Three, four and seven parameters sine-fitting algorithms applied in the electric power calibrations, in: EUROCON, The International Conference on Computer as a Tool, 2005, pp. 1148-1150. (Pubitemid 46436816)
31. P. Händel, and A. Høst-Madsen Estimation of velocity and size of particles from two channel laser anemometry measurements Measurement 21 3 1997 113 123 (Pubitemid 127382457)
32. P.M. Ramos, M. Fonseca da Silva, and A. Cruz Serra Low frequency impedance measurement using sine-fitting Measurement 35 1 2004 89 96
33. P.M. Ramos, F.M. Janeiro, Implementation of DSP based algorithms for impedance measurements, in: IEEE International Conference on Signal Processing and Communication (ICSPC 2007), Dubai, November 2007.
34. P. Händel, and P. Zetterberg Receiver IQ imbalance: tone tests, sensitivity analysis, and the universal software radio peripheral IEEE Transactions on Instrumentation and Measurement 59 3 2010 704 714
35. C.R. Rojas, P. Zetterberg, and P. Händel Transceiver inphase/quadrature imbalance, ellipse fitting, and the universal software radio peripheral IEEE Transaction on Instrumentation and Measurement 60 11 2011 3629 3639
36. P. Händel Parameter estimation employing a dual-channel sine-wave model under a Gaussian assumption IEEE Transaction on Instrumentation and Measurement 57 8 2008 1661 1669
37. N.M. Vucijak, and L.V. Saranovac A simple algorithm for the estimation of phase difference between two sinusoidal voltages IEEE Transaction on Instrumentation and Measurement 59 12 2010 3152 3158
38. P.M. Ramos, and A. Cruz Serra A new sine-fitting algorithm for accurate amplitude and phase measurements in two channel acquisitions Measurement 41 2 2008 135 143
39. T. Radil, and P.M. Ramos Frequency domain parameter estimation of two common frequency single-tone signals Measurement 43 9 2010 1228 1239
40. P.M. Ramos, F.M. Janeiro, and T. Radil Comparative analysis of three algorithms for two-channel common frequency sinewave parameter estimation: ellipse fit, seven parameter sine fit and spectral sinc fit Metrology and Measurement Systems 17 2 2010 255 270
41. F.M. Janeiro, P.M. Ramos, M. Tlemcani, A. Cruz Serra, Analysis of an non-iterative algorithm for the amplitude and phase difference estimation of two acquired sinewaves, in: Proc. XVIII IMEKO World Congr., Rio de Janeiro, Brazil, September 2006.
42. X.G. Xia On estimation of multiple frequencies in undersampled complex valued waveforms IEEE Transactions on Signal Processing 47 1999 3417 3419
43. P.P. Vaidyanathan, and P. Pal Sparse sensing with coprime samplers and arrays IEEE Transactions on Signal Processing 59 2 2011
44. S.M. Kay Fundamentals of Statistical Signal Processing: Estimation Theory vol. 1 1993 Prentice-Hall Upper Saddle River, NJ
45. B.G. Quinn, and P.J. Kootsookos Adaptive comb filtering for harmonic signal enhancement IEEE Transactions on Signal Processing 42 11 1994 3291 3294
46. S. Negusse, P. Händel, Parameter estimation employing a dual channel sine-wave model under sparse co-prime sampling, in: Proc XVIII TC4 IMEKO Symp., Natal, Brazil, September 2011.