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Tutorial on higher-order statistics (spectra) in signal processing and system theory: theoretical results and some applications
Abstract
A compendium of recent theoretical results associated with using higher-order statistics in signal processing and system theory is provided, and the utility of applying higher-order statistics to practical problems is demonstrated. Most of the results are given for one-dimensional processes, but some extensions to vector processes and multichannel systems are discussed. The topics covered include cumulant-polyspectra formulas; impulse response formulas; autoregressive (AR) coefficients; relationships between second-order and higher-order statistics for linear systems; double C(q,k) formulas for extracting autoregressive moving average (ARMA) coefficients; bicepstral formulas; multichannel formulas; harmonic processes; estimates of cumulants; and applications to identification of various systems, including the identification of systems from just output measurements, identification of AR systems, identification of moving-average systems, and identification of ARMA systems.>
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Cited by
Halliday, D. M., Rosenberg, J. R., Amjad, A. M., Breeze, P., Conway, B. A., & Farmer, S. F. (1995) · Progress in Biophysics and Molecular Biology · doi:10.1016/s0079-6107(96)00009-0 · Cited by 1,107
EMG feature evaluation for movement control of upper extremity prostheses
Zardoshti-Kermani, M., Wheeler, B. C., Badie, K., & Hashemi, R. M. (1995) · IEEE Transactions on Rehabilitation Engineering · doi:10.1109/86.481972 · Cited by 477
Sleigh, J. W., Steyn-Ross, D. A., Steyn-Ross, M. L., Williams, M. L., & Smith, P. (2001) · British Journal of Anaesthesia · doi:10.1093/bja/86.1.50 · Cited by 105
Upshaw, B., & Sinkjaer, T. (1998) · IEEE Transactions on Rehabilitation Engineering · doi:10.1109/86.681183 · Cited by 74
Higher-order spectral analysis of spontaneous speech signals in Alzheimer’s disease
Nasrolahzadeh, M., Mohammadpoory, Z., & Haddadnia, J. (2018) · Cognitive Neurodynamics · doi:10.1007/s11571-018-9499-8 · Cited by 51
Metadata
- Authors
- Mendel, J. M.
- Venue
- Proceedings of the IEEE
- Published
- 1991-03
- Volume
- 79
- Issue
- 3
- Pages
- 278-305
- ISSN
- 0018-9219 (ISSN-L)
- OpenAlex
- W2123879611
- Cited by
- 1,810
- References
- 0
- FWCI
- 85.41
- Type
- journal article
- Language
- en
- Open access
- closed
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- Mendel, J. M. (1991). Tutorial on higher-order statistics (spectra) in signal processing and system theory: theoretical results and some applications. Proceedings of the IEEE. https://doi.org/10.1109/5.75086
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