
瑞利分布
Rayleigh distribution, mainly the distribution of certain characteristics to achieve sharp, very good.
瑞利分布,主要实现锐利分布的某些特征,非常的不错。
The shadow affect is logarithmic normal distribution, and the multi-path fading is Rayleigh distribution.
阴影效应服从对数正态分布,而多径衰落服从瑞利分布。
Analysis of the probability distribution of wave heights and periods show that wave heights fit the Rayleigh distribution and wave periods approximates the normal one.
我们还进行了波高和周期的概率分布分析,说明波高符合瑞利分布,周期接近正态分布。
For the Rayleigh distribution, the moment estimate; the maximum likelihood estimate and the interval estimate of the parameter are given based on the full sample.
针对瑞利分布,在全样本场合下给出了参数的矩估计、极大似然估计和区间估计。
The paper also provides the test result used this method. The interfering signals can be attenuated 16 dB in Rayleigh distribution.
本文提供这种方法的实验结果,在瑞利衰落环境下,邻道干扰可衰减16分贝。
The paper has proved theoretically and verified statistically by sampling that the distribution of the position error in arbitrary direction is Rayleigh Distribution.
本文从理论上证明并抽样统计验证了任意方向位置度误差服从瑞利分布;
When the radar seeker transmits several different frequency pulses, the echo amplitude of the target follows the Rayleigh distribution and that of the decoy is assumed fixed.
当导引头雷达发射多个不同频率的脉冲信号时,在一定的 检测处理时长内目标回波信号幅度服从瑞利分布,而诱饵干扰信号则是幅度固定的。
Recently in the analysis of active sonar signal detecting performance, the statistical model of reverberation envelope is assumed to be in accord with Rayleigh-distribution in computer simulation.
主动声纳信号检测性能的分析上,目前在计算机仿真中一般假定混响包络的统计特性符合瑞利分布模型。
Standardized the wind speed by Rayleigh frequency distribution, a concept named equivalent wind speed was presented;
利用风速频率瑞利分布对平均风速进行均一化,提出相当风速的概念;
Transmission and energy distribution characteristics of Rayleigh waves in layered ground were important for Rayleigh wave test.
掌握瑞利波在分层地基中的传播和能量分布特征是进行瑞利波勘测的关键。
Mechanism of disturbance of apparent phase velocity is analyzed from distribution of energies of Rayleigh waves and the reflected body waves in the responses.
根据表面质点响应中瑞利波和反射体波能量分配分析表观相速度扰动机制,讨论振源、测点、洞穴三者相对位置及频率对表面波表观相速度影响。
Detection property of netted radar using order-K and SNR maximization is analyzed under Rayleigh fluctuations and zero mean Gaussian distribution noise.
在目标瑞利起伏的模型下,噪声服从零均值高斯分布时,对比了秩K规则和最大信噪比规则这两种融合方法,对目标检测性能的影响。
Methods—Based on vector Rayleigh-Sommerfeld diffraction integrals, the light intensity distribution of the elliptical vectorial Gaussian beams diffracted at a tri-rectangular aperture is stu***d.
方法基于矢量瑞利-索末菲衍射积分公式,研究矢量椭圆高斯光束三孔衍射的光强分布。
For miss projectile, probability density function of impact dispersion can be expressed as Rayleigh distribution function by means of coordinate conversion (Jacobi's transformation ).
有脱靶弹存在时,通过坐标变换可将弹着散布的概率密度函数用极坐标下的瑞利分布函数表示。
It is shown that the ice thickness and the ice velocity satisfy with Lognormal distribution and Rayleigh distribution respectively, and that the ice compression strength obeys Normal distribution.
结果表明:冰厚和冰速分别服从对数正态分布和瑞利分布,海冰压缩强度服从正态分布。
It provided the CFAR detecting method which is based on Rayleigh distribution according to the priori knowledge that the probability distribution of SAR images obey Rayleigh distribution.
结合SAR图像的灰度概率分布服从瑞利分布的先验知识,给出了基于瑞利分布的CFAR检测方法。
瑞利分布(Rayleigh distribution)是一种连续概率分布,常用于描述在特定条件下向量幅值的统计特性。以下是其详细解释:
瑞利分布的概率密度函数(PDF)定义为: $$ f(x; sigma) = frac{x}{sigma} e^{-x / (2sigma)}, quad x geq 0 $$ 其中 $sigma$ 是尺度参数,决定分布的幅度范围。该分布仅适用于非负实数域($x geq 0$),其累积分布函数(CDF)为: $$ F(x; sigma) = 1 - e^{-x / (2sigma)} $$ 其期望值(均值)为 $sigma sqrt{pi/2}$,方差为 $frac{4 - pi}{2} sigma$ 。
向量幅值建模
当二维向量的两个正交分量(如直角坐标系中的 $X$ 和 $Y$)服从独立同分布的正态分布 $N(0, sigma)$ 时,该向量的模长(幅值)服从瑞利分布。例如:
工程领域典型应用
权威参考来源:
瑞利分布(Rayleigh Distribution)是一种连续概率分布,主要应用于通信工程、信号处理等领域。以下为详细解释:
瑞利分布描述的是二维空间中,两个独立同分布的正态随机变量构成的向量的模长分布。具体而言,若随机变量$X$和$Y$服从独立的正态分布,且均值为0、方差为$sigma$,则向量模$R = sqrt{X + Y}$服从瑞利分布。
瑞利分布的概率密度函数为: $$ f(r; sigma) = frac{r}{sigma} e^{-r/(2sigma)} quad (r geq 0) $$ 其中:
如需更深入数学推导或具体案例分析,可参考通信工程领域的权威教材或专业论文。
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