Stability of linear predictors and numerical range of a linear operator (Corresp.)
The zeros of a predictor polynomial are shown to belong to the numerical range of a linear operator associated with the particular prediction problem considered. Application of this result to the autocorrelation and postwindowed cases shows that the predictor polynomials enjoy a well-defined stabili...
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| Veröffentlicht in: | IEEE transactions on information theory 1987-05, Vol.33 (3), p.412-415 |
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| container_end_page | 415 |
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| container_issue | 3 |
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| container_title | IEEE transactions on information theory |
| container_volume | 33 |
| creator | Delsarte, P. Genin, Y. Kamp, Y. |
| description | The zeros of a predictor polynomial are shown to belong to the numerical range of a linear operator associated with the particular prediction problem considered. Application of this result to the autocorrelation and postwindowed cases shows that the predictor polynomials enjoy a well-defined stability margin which depends in particular on the length of the data sequence. The generalization of these results to the multichannel case is also discussed. |
| doi_str_mv | 10.1109/TIT.1987.1057310 |
| format | Article |
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Application of this result to the autocorrelation and postwindowed cases shows that the predictor polynomials enjoy a well-defined stability margin which depends in particular on the length of the data sequence. 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| ispartof | IEEE transactions on information theory, 1987-05, Vol.33 (3), p.412-415 |
| issn | 0018-9448 1557-9654 |
| language | eng |
| recordid | cdi_ieee_primary_1057310 |
| source | IEEE Electronic Library (IEL) |
| subjects | Applied sciences Exact sciences and technology Systems, networks and services of telecommunications Telecommunications Telecommunications and information theory Transmission and modulation (techniques and equipments) |
| title | Stability of linear predictors and numerical range of a linear operator (Corresp.) |
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