On the symmetric α-stable distribution with application to symbol error rate calculations

机译：关于对称α稳定分布及其在符号误码率计算中的应用

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The probability density function (PDF) of the symmetric α-stable distribution is investigated using the inverse Fourier transform of its characteristic function. For general values of the stable parameter α, it is shown that the PDF and the cumulative distribution function of the symmetric stable distribution can be expressed in terms of the Fox H function as closed-form. As an application, the probability of error of single input single output communication systems using different modulation schemes with an α-stable perturbation is studied. In more details, a generic formula is derived for generalized fading distribution, such as the extended generalized-k distribution. Later, simpler expressions of these error rates are deduced for some selected special cases and compact approximations are derived using asymptotic expansions.

机译：使用特征函数的逆傅立叶变换研究对称α稳定分布的概率密度函数（PDF）。对于稳定参数α的一般值，表明PDF和对称稳定分布的累积分布函数可以用Fox H函数表示为封闭形式。作为一种应用，研究了使用具有α稳定扰动的不同调制方案的单输入单输出通信系统的错误概率。更详细地，导出用于泛化衰落分布的通用公式，例如扩展的泛化k分布。后来，针对某些选定的特殊情况推导了这些错误率的更简单表达式，并使用渐近展开来推导紧凑近似。

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《IEEE International symposium on Personal, Indoor, and Mobile Radio Communications》|2016年|1-6|共6页
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Hamza Soury; Mohamed-Slim Alouini;
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Probability density function; Communication systems; Quadrature amplitude modulation; Error analysis; Interference; Binary phase shift keying;

机译：概率密度函数;通信系统;正交调幅;误差分析;干扰;二进制相移键控;

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机译：在容积调制弧光治疗中，多叶准直器叶片位置误差对剂量分布的直接影响分析：在有和没有位置误差的情况下，所测平面剂量之间的通过率计算。
2. Direct impact analysis of multi-leaf collimator leaf position errors on dose distributions in volumetric modulated arc therapy: a pass rate calculation between measured planar doses with and without the position errors. [J] . Tatsumi D, Hosono MN, Nakada R, Physics in medicine and biology. . 2011,第20期

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3. Direct impact analysis of multi-leaf collimator leaf position errors on dose distributions in volumetric modulated arc therapy: a pass rate calculation between measured planar doses with and without the position errors. [J] . Tatsumi D, Hosono MN, Nakada R, Physics in medicine and biology. . 2011,第20期

机译：体积调制电弧疗法中剂量分布对多叶准直叶片位置误差的直接影响分析：测量平面剂量与位置误差的频率计算。
4. On the Symmetric α-Stable Distribution with Application to Symbol Error Rate Calculations [C] . Hamza Soury, Mohamed-Slim Alouini IEEE Annual International Symposium on Personal, Indoor, and Mobile Radio Communications . 2016

机译：在符号误差率计算中的对称α稳定分布
5. Robust estimation and testing of location for symmetric stable distributions. [D] . Al-Ghamedi, Ateq Ahmed M. 2002

机译：对称稳定分布的稳健估计和位置测试。
6. High rate of calculation errors in mismatch distribution analysis results in numerous false inferences of biological importance [O] . T Schenekar, S Weiss 2011

机译：失配分析中较高的计算错误率会导致许多生物学重要性的错误推断
7. Bayesian linear regression with skew-symmetric error distributions with applications to survival analysis [O] . Rubio Francisco J., Genton Marc G. 2016

机译：具有偏对称误差分布的贝叶斯线性回归及其在生存分析中的应用
8. Properties of Certain Symmetric Stable Distributions. [R] . Miller, G. W. 1977

机译：某些对称稳定分布的性质。

On the symmetric α-stable distribution with application to symbol error rate calculations

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