New upper bounds on the Gaussian Q-function via Jensen's inequality and integration by parts, and applications in symbol error probability analysis
| Autor: | Hang-Dan Zheng, Ming-Wei Wu, Hang Qiu, Pooi-Yuen Kam |
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| Rok vydání: | 2023 |
| Popis: | Using Jensen’s inequality and integration by parts, we derive some tight upper bounds on the Gaussian Q-function. The tightness of the bounds obtained by Jensen’s inequality can be improved by increasing the number of exponential terms, and one of them is invertible. We obtain a piece-wise upper bound and show its application in the analysis of the symbol error probability of various modulation schemes in different channel models. |
| Databáze: | OpenAIRE |
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