
瑞利分布
Rayleigh distribution, mainly the distribution of certain characteristics to achieve sharp, very good.
瑞利分布,主要實現銳利分布的某些特征,非常的不錯。
The shadow affect is logarithmic normal distribution, and the multi-path fading is Rayleigh distribution.
陰影效應服從對數正态分布,而多徑衰落服從瑞利分布。
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.
我們還進行了波高和周期的概率分布分析,說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.
針對瑞利分布,在全樣本場合下給出了參數的矩估計、極大似然估計和區間估計。
The paper also provides the test result used this method. The interfering signals can be attenuated 16 dB in Rayleigh distribution.
本文提供這種方法的實驗結果,在瑞利衰落環境下,鄰道幹擾可衰減16分貝。
The paper has proved theoretically and verified statistically by sampling that the distribution of the position error in arbitrary direction is Rayleigh Distribution.
本文從理論上證明并抽樣統計驗證了任意方向位置度誤差服從瑞利分布;
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.
當導引頭雷達發射多個不同頻率的脈沖信號時,在一定的 檢測處理時長内目标回波信號幅度服從瑞利分布,而誘餌幹擾信號則是幅度固定的。
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.
主動聲納信號檢測性能的分析上,目前在計算機仿真中一般假定混響包絡的統計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;
利用風速頻率瑞利分布對平均風速進行均一化,提出相當風速的概念;
Transmission and energy distribution characteristics of Rayleigh waves in layered ground were important for Rayleigh wave test.
掌握瑞利波在分層地基中的傳播和能量分布特征是進行瑞利波勘測的關鍵。
Mechanism of disturbance of apparent phase velocity is analyzed from distribution of energies of Rayleigh waves and the reflected body waves in the responses.
根據表面質點響應中瑞利波和反射體波能量分配分析表觀相速度擾動機制,讨論振源、測點、洞穴三者相對位置及頻率對表面波表觀相速度影響。
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,噪聲服從零均值高斯分布時,對比了秩K規則和最大信噪比規則這兩種融合方法,對目标檢測性能的影響。
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-索末菲衍射積分公式,研究矢量橢圓高斯光束三孔衍射的光強分布。
For miss projectile, probability density function of impact dispersion can be expressed as Rayleigh distribution function by means of coordinate conversion (Jacobi's transformation ).
有脫靶彈存在時,通過坐标變換可将彈着散布的概率密度函數用極坐标下的瑞利分布函數表示。
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.
結果表明:冰厚和冰速分别服從對數正态分布和瑞利分布,海冰壓縮強度服從正态分布。
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.
結合SAR圖像的灰度概率分布服從瑞利分布的先驗知識,給出了基于瑞利分布的CFAR檢測方法。
瑞利分布(Rayleigh distribution)是一種連續概率分布,常用于描述在特定條件下向量幅值的統計特性。以下是其詳細解釋:
瑞利分布的概率密度函數(PDF)定義為: $$ f(x; sigma) = frac{x}{sigma} e^{-x / (2sigma)}, quad x geq 0 $$ 其中 $sigma$ 是尺度參數,決定分布的幅度範圍。該分布僅適用于非負實數域($x geq 0$),其累積分布函數(CDF)為: $$ F(x; sigma) = 1 - e^{-x / (2sigma)} $$ 其期望值(均值)為 $sigma sqrt{pi/2}$,方差為 $frac{4 - pi}{2} sigma$ 。
向量幅值建模
當二維向量的兩個正交分量(如直角坐标系中的 $X$ 和 $Y$)服從獨立同分布的正态分布 $N(0, sigma)$ 時,該向量的模長(幅值)服從瑞利分布。例如:
工程領域典型應用
權威參考來源:
瑞利分布(Rayleigh Distribution)是一種連續概率分布,主要應用于通信工程、信號處理等領域。以下為詳細解釋:
瑞利分布描述的是二維空間中,兩個獨立同分布的正态隨機變量構成的向量的模長分布。具體而言,若隨機變量$X$和$Y$服從獨立的正态分布,且均值為0、方差為$sigma$,則向量模$R = sqrt{X + Y}$服從瑞利分布。
瑞利分布的概率密度函數為: $$ f(r; sigma) = frac{r}{sigma} e^{-r/(2sigma)} quad (r geq 0) $$ 其中:
如需更深入數學推導或具體案例分析,可參考通信工程領域的權威教材或專業論文。
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