Estimating the number of sinusoids and its performance analysis

Journal of Statistical Computation and Simulation

Volumn 60, Issue 4, 1998, Pages 347-362

  Kundu, Debasis ^a  

^a INDIAN INSTITUTE OF TECHNOLOGY KANPUR   (India)

Author keywords

Law of iterated logarithm; Monte Carlo simulation; Sinusoidal signals; Strong consistency

Indexed keywords

EID: 0032223146     PISSN: 00949655     EISSN: None     Source Type: Journal    
DOI: 10.1080/00949659808811896     Document Type: Article

References (15)

1. Stoica, P. (1993) "List of References on Spectral Line Analysis", Signal Processing, 31, 329-340.
2. Reddy, V. U. and Biradar, L. S. (1993) "SVD-Based Information Theoretic Criteria for Detection of the Number of Damped/Undamped Sinusoids and Their Performance Analysis", IEEE Trans. on Signal Processing, 41(9), 2872-2881.
3. Fuchs, J. J. (1988) "Estimating the Number of Sinusoids in Additive White Noise", IEEE Trans. Acoust. Speech, Signal Processing, 36(12), 1846-1853.
4. Wang, H. and Kaveh, M. (1986) "On the Performance of Signal-Subspace Processing Part I: Narrow-Band Systems", IEEE Trans. Acoust., Speech, Signal Processing, 34(5), 1201-1209.
5. Kundu, D. (1992) "Detecting the Number of Signals for Undamped Exponential Models Using Information Theoretic Criteria", Journal of Statistical Computation and Simulation, 44, 117-131.
6. Kundu, D. and Kundu, R. (1995) "Consistent Estimates of Super Imposed Signals when Some Observations are Missing", Journal of Statistical Planning and Inference, 44, 205-218.
7. Tufts, D. W. and Kumaresan, R. (1982) "Estimation of Frequencies of Multiple Sinusoids: Making Linear Prediction Perform Like Maximum Likelihood", Proc. IEEE, 70(9), 975-989.
8. 2 Approximations", Jour. Royal Stat. Soc. Ser. B, 16, 296-298.
9. Lawley, D. N. (1956) "Tests of Significance of the Latent Roots of the Covariance and Correlation Matrices", Biometrica, 43, 128-136.
10. Rao, C. R. (1988) "Some Results in Signal Detection", Stat. Dec. Theo. and Rel. Top., IV, Eds. S. S. Gupta and J. Berger, 319-332, Springer Verlag, New York.
11. Kaveh, M., Wang, H. and Hung, H. (1987) "On the Theoretical Performance of a Class of Estimators of the Number of Narrow-Band Sources", IEEE Trans. Acoust. Speech, Signal Processing, 35(9), 1350-1352.
12. Bai, Z. D. and Rao, C. R. (1989) "Spectral Analytic Methods for the Estimation of Number of Signals and Directions of Arrivals", Spectral Analysis in One or Two Dimensions, Eds. S. Prasad and L. Kashyap, Oxford and IBH Publications, New Delhi, pp. 493-507.
13. Kundu, D. and Mitra, A. (1995) "Consistent Method of Estimating Superimposed Exponential Signals", Scandinavian Journal of Statistics, 22(1), 73-82.
14. Brillinger, D. R. (1981) Time Series: Data Analysis and Theory, Expanded Edition, San Francisco, CA: Holden-Day.
15. Wilkinson, W. H. (1965) The Algebraic Eigenvalue Problems, Oxford University Press.