| CONDITIONS FOR FOURTH-ORDER STATIONARITY AND ERGODICITY OF A HARMONIC RANDOM PROCESS |
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| 作者姓名： | Mao Yongcai |
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| 作者单位： | institute of Electronic Engineering，Xidian University，Xi'an，710071 |
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| 摘 要： | The finite data estimates of the complex fourth-order moments of a signal consisting of random harmonics are analyzed. Conditions for the fourth-order stationarity and ergodicity are obtained. Explicit formulas for the estimation error and its variance, as well as their limiting large sample values are derived. Finally, a special case relevant to cubic phase coupling is considered, and these results are stated for this case, the variance is shown to comprise an ergodic and a nonergodic part.
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Conditions for fourth-order stationarity and ergodicity of a harmonic random process |
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| Mao Yongcai.CONDITIONS FOR FOURTH-ORDER STATIONARITY AND ERGODICITY OF A HARMONIC RANDOM PROCESS[J].Journal of Electronics,1996,13(3):235-241. |
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| Authors: | Mao Yongcai |
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| Affiliation: | (1) Institute of Electronic Engineering, Xidian University, 710071 Xi’an |
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| Abstract: | The finite data estimates of the complex fourth-order moments of a signal consisting of random harmonics are analyzed. Conditions for the fourth-order stationarity and ergodicity are obtained. Explicit formulas for the estimation error and its variance, as well as their limiting large sample values are derived. Finally, a special case relevant to cubic phase coupling is considered, and these results are stated for this case, the variance is shown to comprise an ergodic and a nonergodic part. |
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| Keywords: | Harmonic random process Fourth-order stationarity Fourth-order ergodicity |
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