New upper bounds on the Gaussian Q-function via Jensen's inequality and
integration by parts, and applications in symbol error probability
analysis
- Hang-Dan Zheng
, - Ming-Wei Wu,
- Hang Qiu,
- Pooi-Yuen Kam
Hang-Dan Zheng
Zhejiang University of Science and Technology
Author ProfileMing-Wei Wu
Zhejiang University of Science and Technology School of Information and Electronic Engineering
Corresponding Author:[email protected]
Author ProfilePooi-Yuen Kam
The Chinese University of Hong Kong - Shenzhen
Author ProfileAbstract
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.26 Apr 2023Submitted to Electronics Letters 26 Apr 2023Submission Checks Completed
26 Apr 2023Assigned to Editor
04 May 2023Reviewer(s) Assigned
18 May 2023Review(s) Completed, Editorial Evaluation Pending
20 Jun 2023Editorial Decision: Revise Major
12 Sep 20231st Revision Received
15 Sep 2023Submission Checks Completed
15 Sep 2023Assigned to Editor
15 Sep 2023Review(s) Completed, Editorial Evaluation Pending
15 Sep 2023Reviewer(s) Assigned
30 Sep 2023Editorial Decision: Accept
