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Chernoff-Type Bounds for the Gaussian Error Function

delete2011-11-01
delete99
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OA
AI
S
Seok‐Ho Chang *
P
Pamela C. Cosman
L
L.B. Milstein
DOI:10.1109/TCOMM.2011.072011.100049delete
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摘要

摘要

En 中文
We study single-term exponential-type bounds (also known as Chernoff-type bounds) on the Gaussian error function. This type of bound is analytically the simplest such that the performance metrics in most fading channel models can be expressed in a concise closed form. We derive the conditions for a general single-term exponential function to be an upper or lower bound on the Gaussian error function. We prove that there exists no tighter single-term exponential upper bound beyond the Chernoff bound employing a factor of one-half. Regarding the lower bound, we prove that the single-term exponential lower bound of this letter outperforms previous work. Numerical results show that the tightness of our lower bound is comparable to that of previous work employing eight exponential terms.
Keyword:
Bounds
error function
exponential
Gaussian Q-function

期刊

IEEE Transactions on Communications 封面图
IEEE Transactions on Communications
IF:
8.3
论文数:
1.2W
被引数:
3.6W

机构

University of California System 封面图
University of California System
学者数:
37.7W
论文数: 33.8W
被引数: 6.6K
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