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Exact maximum likelihood parameter estimation of superimposed exponential signals in noise
Abstract
A unified framework for the exact maximum likelihood estimation of the parameters of superimposed exponential signals in noise, encompassing both the time series and the array problems, is presented. An exact expression for the ML criterion is derived in terms of the linear prediction polynomial of the signal, and an iterative algorithm for the maximization of this criterion is presented. The algorithm is equally applicable in the case of signal coherence in the array problem. Simulation shows the estimator to be capable of providing more accurate frequency estimates than currently existing techniques. The algorithm is similar to those independently derived by Kumaresan et al. In addition to its practical value, the present formulation is used to interpret previous methods such as Prony's, Pisarenko's, and modifications thereof.
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Research works printed but not linked: 30
- 10.1109/TASSP.1985.1164492 · doi:10.1109/tassp.1985.1164492
- 10.1109/TASSP.1981.1163543 · doi:10.1109/tassp.1981.1163543
- 10.1109/TASSP.1985.1164643 · DOI · Paper page
- 10.1109/TASSP.1983.1164229 · doi:10.1109/tassp.1983.1164229
- 10.1109/TASSP.1984.1164358 · doi:10.1109/tassp.1984.1164358
- 10.1016/0031-9201(76)90047-9 · DOI · Paper page
- box, 1970, Time Series Analysis Forecasting and Control
- 10.1214/aos/1176343285 · doi:10.1214/aos/1176343285
- 10.1214/aos/1176343942 · doi:10.1214/aos/1176343942
- 10.1109/ICASSP.1985.1168514 · doi:10.1109/icassp.1985.1168514
- evans, 1982, Application of advanced signal processing techniques to angle of arrival estimation in ATC navigation and surveilance system
- 10.1109/PROC.1984.13091 · doi:10.1109/proc.1984.13091
- 10.1109/PROC.1982.12428 · DOI · Paper page
- 10.1109/PROC.1981.12184 · DOI · Paper page
- 10.1109/ICASSP.1980.1171029 · doi:10.1109/icassp.1980.1171029
- kumaresan, 1984, a prony method for noisy data: choosing the signal components and selecting the order in exponential signal models, Proceedings of the IEEE, 72, 230, 10.1109/PROC.1984.12849 · doi:10.1109/proc.1984.12849
- 10.1109/TIT.1974.1055282 · DOI · Paper page
- 10.1109/TASSP.1982.1163974 · DOI · Paper page
- 10.1109/TAES.1983.309426 · doi:10.1109/taes.1983.309426
- wax, 1985, Detection and estimation of superimposed signals
- 10.1109/TAP.1986.1143830 · DOI · Paper page
- 10.1109/ICASSP.1979.1170707 · doi:10.1109/icassp.1979.1170707
- 10.1111/j.1365-246X.1973.tb03424.x · DOI · Paper page
- shan, 0, Eigenstructure methods for direction-of-arrival estimation of coherent sources, IEEE Trans Acoust Speech Signal Processing
- 10.1109/ICASSP.1985.1168370 · doi:10.1109/icassp.1985.1168370
- 10.1109/TASSP.1986.1164843 · DOI
- 10.1109/TASSP.1985.1164557 · DOI · Paper page
- 10.1109/TAU.1973.1162433 · doi:10.1109/tau.1973.1162433
- 10.1109/ICASSP.1985.1168365 · doi:10.1109/icassp.1985.1168365
- 10.1137/0710036 · DOI · Paper page
Cited by
Matrix pencil method for estimating parameters of exponentially damped/undamped sinusoids in noise
Hua, Y., & Sarkar, T. K. (1990) · IEEE Transactions on Acoustics, Speech, and Signal Processing · doi:10.1109/29.56027 · Cited by 1,537
Subspace-based signal analysis using singular value decomposition
Van Der Veen, A.-J., Deprettere, E. F., & Swindlehurst, A. L. (1993) · Proceedings of the IEEE · doi:10.1109/5.237536 · Cited by 348
Metadata
- Authors
- Bresler, Y., & Macovski, A.
- Venue
- IEEE Transactions on Acoustics, Speech, and Signal Processing
- Published
- 1986-10
- Volume
- 34
- Issue
- 5
- Pages
- 1081-1089
- ISSN
- 0096-3518 (ISSN-L)
- OpenAlex
- W2148723353
- Cited by
- 767
- References
- 0
- FWCI
- 19.52
- Type
- journal article
- Language
- en
- Open access
- closed
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- Bresler, Y., & Macovski, A. (1986). Exact maximum likelihood parameter estimation of superimposed exponential signals in noise. IEEE Transactions on Acoustics, Speech, and Signal Processing. https://doi.org/10.1109/tassp.1986.1164949
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