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Cumulants and Genetic Algorithm for Parameters Estimation of Noncausal Autoregressive Models
| Content Provider | Semantic Scholar |
|---|---|
| Author | Alshebeili, Saleh A. Alsehaili, Mohammad Alkanhal, Majeed A. S. |
| Copyright Year | 2002 |
| Abstract | The authors introduce a new method for estimating the coefficients of a noncausal autoregressive (AR) model. This method is based on a new formulation that relates the unknown AR parameters to both second- and third-order cumulants. The new formulation facilitates the use of linear and nonlinear least-square estimation techniques, and includes some published works as a special case. The nonlinear least-square estimation techniques presented in this work make use of a genetic algorithm (GA) to minimize a cost function that is defined in terms of the model’s output cumulants. We also introduce a new method for estimating the coefficients of a noncausal AR model using the power spectrum and a one-dimensional (1-D) slice of the bispectrum. To illustrate the effectiveness of the proposed AR modelling approaches, extensive simulation examples are presented. |
| Starting Page | 186 |
| Ending Page | 196 |
| Page Count | 11 |
| File Format | PDF HTM / HTML |
| DOI | 10.1080/02286203.2002.11442240 |
| Volume Number | 22 |
| Alternate Webpage(s) | http://www.researchgate.net/profile/Majeed_Alkanhal3/publication/3825699_Cumulants_and_genetic_algorithm_for_parameters_estimation_of_noncausal_AR_models/links/02e7e53345f272bb2a000000.pdf |
| Alternate Webpage(s) | http://faculty.ksu.edu.sa/alkanhal/selected%20publications/205-2049.pdf |
| Alternate Webpage(s) | https://doi.org/10.1080/02286203.2002.11442240 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |