RELAX-based estimation of damped sinusoidal signal parameters

Signal Processing

Volumn 62, Issue 3, 1997, Pages 311-321

  Liu, Zheng She ^a   Li, Jian ^a   Stoica, Petre ^b  

^a University of Florida   (United States)

^b UPPSALA UNIVERSITY   (Sweden)

Author keywords

Cram r Rao bound; Damped sinusoids; Nonlinear least squares; Relaxation

Indexed keywords

ALGORITHMS; COMPUTER SIMULATION; LEAST SQUARES APPROXIMATIONS; PARAMETER ESTIMATION; RANDOM PROCESSES; SPURIOUS SIGNAL NOISE; STATISTICAL METHODS; WHITE NOISE;

DAMPED SINUSOIDAL SIGNALS; MAXIMUM LIKELIHOOD ESTIMATION; NONLINEAR LEAST SQUARES CRITERIA; SINGULAR VALUE DECOMPOSITION;

SIGNAL PROCESSING;

EID: 0031269350     PISSN: 01651684     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0165-1684(97)00132-1     Document Type: Article

References (19)

1. W.J. Bangs, Array processing with generalized beamformers, Ph.D. dissertation, Yale University, New Haven, CT, 1971.
2. Y. Bresler, A. Macovski, Exact maximum likelihood parameter estimation of superimposed exponential signals in noise, IEEE Trans. Acoust. Speech Signal Process. 34 (5) (October 1986) 1081-1088.
3. B.D. Bunday, Basic Optimization Methods, Edward Arnold Ltd, London, 1984.
4. J.A. Cadzow, Signal enhancement - A composite property mapping algorithm, IEEE Trans. Acoust. Speech Signal Process. 36 (1) (January 1988) 49-62.
5. P.T. Gough, A fast spectral estimation algorithm based on the FFT, IEEE Trans. Signal Process. 42 (6) (June 1994) 1317-1322.
6. J.A. Högbom, Aperture synthesis with a non-regular distribution of interferometer base-lines, Astronomy and Astrophysics Supplement Series, Vol. 15, April-June 1974, pp. 417-426.
7. V.G. Karmanov, Programmation Mathematique, Editions Mir, Moscow, 1977.
8. R. Kumaresan, D.W. Tufts, Estimating the parameters of exponentially damped sinusoids and pole-zero modeling in noise, IEEE Trans. Acoust. Speech Signal Process. 30 (12) (December 1982) 833-840.
9. R. Kumaresan, L.L. Scharf, A.K. Shaw, An algorithm for pole-zero modeling and spectral analysis, IEEE Trans. Acoust. Speech Signal Process. 34 (3) (June 1986) 637-640.
10. J. Li, P. Stoica, Efficient mixed-spectrum estimation with applications to target feature extraction, IEEE Trans. Signal Process. 44 (2) (February 1996) 281-295.
11. J. Li, P. Stoica, Z.-S. Liu, Comparative study of IQML and MODE for direction-of-arrival estimation, Proc. Internat. Conf. Acoust. Speech Signal Process. '97, Vol. 5, Munich, Germany, April 1997, pp. 3509-3512.
12. J. Li, P. Stoica, D. Zheng, Angle and waveform estimation via RELAX, IEEE Trans. Aerospace Electronic Systems 33 (3) (July 1997) 1077-1087.
13. P. Stoica, A. Nehorai, Performance study of conditional and unconditional direction-of-arrival estimation, IEEE Trans. Acoust. Speech Signal Process. 38 (10) (October 1990) 1783-1795.
14. P. Stoica, J. Li, T. Söderström, On the inconsistency of IQML, Signal Processing 56 (2) (January 1997) 185-190.
15. J. Tsao, B.D. Steinberg, Reduction of sidelobe and speckle artifacts in microwave imaging: The CLEAN technique, IEEE Trans. Antennas Propagation 36 (4) (April 1988) 543-556.
16. D.W. Tufts, R. Kumaresan, I. Kirsteins, Data adaptive signal estimation by singular value decomposition of a data matrix, Proc. IEEE 70 (6) (June 1982) 684-685.
17. S. Umesh, D.W. Tufts, Estimation of parameters of exponentially damped sinusoids using fast maximum likelihood estimation with application to NMR spectroscopy data, IEEE Trans. Signal Process. 44 (9) (September 1996) 2245-2259.
18. S. Van Huffel, Enhanced resolution based on minimum variance estimation and exponential data modeling, Signal Processing 33 (3) (September 1993) 333-355.
19. W.I. Zangwill, Nonlinear Programming: A Unified Approach, Prentice-Hall, Englewood Cliffs, NJ, 1969.