Parameter estimation of superimposed signals using the EM algorithm

A computationally efficient algorithm for parameter estimation of superimposed signals based on the two-step iterative EM (estimate-and-maximize, with an E step and an M step) algorithm is developed. The idea is to decompose the observed data into their signal components and then to estimate the parameters of each signal component separately. The algorithm iterates back and forth, using the current parameter estimates to decompose the observed data better and thus increase the likelihood of the next parameter estimates. The application of the algorithm to the multipath time delay and multiple-source location estimation problems is considered. >

[1]  I. Meilijson A fast improvement to the EM algorithm on its own terms , 1989 .

[2]  Thomas Kailath,et al.  Detection of signals by information theoretic criteria , 1985, IEEE Trans. Acoust. Speech Signal Process..

[3]  G. Borgiotti,et al.  Superresolution of uncorrelated interference sources by using adaptive array techniques , 1979 .

[4]  New York Dover,et al.  ON THE CONVERGENCE PROPERTIES OF THE EM ALGORITHM , 1983 .

[5]  Benjamin Friedlander,et al.  Estimation of spatial and spectral parameters of multiple sources , 1983, IEEE Trans. Inf. Theory.

[6]  M. Morf,et al.  Estimation of time differences of arrival by pole decomposition , 1983 .

[7]  M. Morf,et al.  The signal subspace approach for multiple wide-band emitter location , 1983 .

[8]  Ralph Otto Schmidt,et al.  A signal subspace approach to multiple emitter location and spectral estimation , 1981 .

[9]  Harry L. Van Trees,et al.  Detection, Estimation, and Modulation Theory, Part I , 1968 .

[10]  S.S. Reddi,et al.  Multiple Source Location-A Digital Approach , 1979, IEEE Transactions on Aerospace and Electronic Systems.

[11]  Alan V. Oppenheim,et al.  All-pole modeling of degraded speech , 1978 .

[12]  Meir Feder,et al.  Optimal multiple source location estimation via the EM algorithm , 1985, ICASSP '85. IEEE International Conference on Acoustics, Speech, and Signal Processing.

[13]  M. Feder,et al.  Multipath and multiple source array processing via the EM algorithm , 1986, ICASSP '86. IEEE International Conference on Acoustics, Speech, and Signal Processing.

[14]  J. E. Ehrenberg,et al.  Signal‐processing techniques for resolving individual pulses in a multipath signal , 1978 .

[15]  D. Rubin,et al.  Maximum likelihood from incomplete data via the EM - algorithm plus discussions on the paper , 1977 .