Abstract
The mean-square error (MSE) of Capon estimate of the directions-of-arrival (DOA) is established in the narrowband array processing case. An improved Capon-like DOA estimator is proposed and its MSE is studied as well. Performance comparisons between the standard and improved Capon DOA estimates, and between these two estimates and the linear prediction DOA estimate, are performed. It is concluded that the improved Capon-like method introduced in this paper provides more accurate DOA estimates in most cases.
Similar content being viewed by others
References
J. Burg, The relationship between maximum entropy and maximum likelihood spectra,Geophysics, vol. 37, pp. 375–376, April 1972.
J. Capon, High-resolution frequency-wavenumber spectrum analysis,Proc. IEEE, vol. 57, pp. 1408–1418, Aug. 1969.
J. Capon, Maximum-likelihood spectral estimation, in Nonlinear Methods of Spectral Analysis, 2nd ed. (S. Haykin, ed.), Springer, New York, 1983.
J. Capon and N. R. Goodman, Probability distribution for estimators of the frequency-wavenumber spectrum,Proc. IEEE, vol. 58, pp. 1785–1786, Oct. 1970; corrections in vol. 59, p. 112, Jan. 1971.
H. Cox, Resolving power and sensitivity to mismatch of optimum (line) array processors,J. Acoust. Soc. Am., vol. 54, pp. 771–785, 1973.
D. Johnson, The application of spectral estimation methods to bearing estimation problems,Proc. IEEE, vol. 70, pp. 1018–1028, Sept. 1982.
S. Kay,Modern Spectral Estimation. Theory & Applications (Chap. 11), Prentice-Hall, Englewood Cliffs, NJ, 1988.
R. Klemm, High-resolution analysis of non-stationary data ensembles, inSignal Processing: Theories and Applications (M. Kunt and F.de Coulon, eds.), North-Holland, Amsterdam, pp. 711–714, 1980.
R. Lacoss, Data adaptive spectral analysis methods,Geophysics, vol. 36, pp. 661–675, Aug. 1971.
M. A. Lagunas, M. E. Santamaria, A. Gasull, and A. Moreno, Maximum likelihood filters in spectral estimation problems,Signal Processing, vol. 10, pp. 19–34, Jan. 1986.
M. A. Lagunas-Hernández and A. Gasull-Llampallas, An improved maximum likelihood method for power spectral density estimation,IEEE Trans. Acoust., Speech and Signal Process., vol. 32, pp. 170–173, Feb. 1984.
S. L. Marple, Jr.,Digital Spectral Analysis, with Applications (Chap. 12), Prentice-Hall, Englewood Cliffs, NJ, 1987.
T. Marzetta, A new interpretation for Capon's maximum likelihood method of frequency-wave-number spectral estimation,IEEE Trans. Acoust., Speech and Signal Process., vol. 31, pp. 445–449, Apr. 1983.
U. Nickel, Algebraic formulation of Kumaresan-Tufts superresolution method, showing relation to ME and MUSIC methods,IEEProc., vol. 135, Pt. F, pp. 7–10, Feb. 1988.
V. F. Pisarenko, On the estimation of spectra by means of non-linear functions of the covariance matrix,Geophys. J. Roy. Astron. Soc., vol. 28, pp. 511–531, 1972.
P. J. Sherman and K. N. Lou, On the rate of convergence of the ML spectral estimate for identification of sinusoids in noise,Int. Conf. Acoust., Speech and Signal Process. —ICASSP'88, April 11–14, 1988, New York, pp. 2380–2383, 1988.
T. Söderström and P. Stoica,System Identification, Prentice-Hall, Hemel Hempstead, UK, 1989.
D. Thomas and M. Hayes III, A novel data-adaptive power spectrum estimation technique,Int. Conf. Acoust., Speech and Signal Process.-ICASSP'87, April 6–9,1987, Dallas, pp. 1589–1592, 1987.
Author information
Authors and Affiliations
Additional information
This work has been supported by the Swedish Research Council for Engineering Sciences under contract 91–676.
Rights and permissions
About this article
Cite this article
Stoica, P., Händel, P. & Söderström, T. Study of Capon method for array signal processing. Circuits Systems and Signal Process 14, 749–770 (1995). https://doi.org/10.1007/BF01204683
Received:
Accepted:
Issue Date:
DOI: https://doi.org/10.1007/BF01204683