學習工具
[天][統計][數] 高斯分布
On the premise that the errors of thrust and navigation are random errors submitting Gaussian distribution, a simulation example is given.
在假定導航誤差和推力誤差為服從高斯正态分布的隨機誤差的前提下，給出了仿真案例。
Then, Gaussian distribution function was adopted as orientation distribution function to simulate the variety of the elastic constants with the texture.
然後用高斯分布函數作為取向分布函數模拟了彈性常數隨織構的變化情況。
This paper points out that we can use the density function of the Gaussian distribution to set a thinned array, extending the covariance matrix will advance the gain clearly.
提出利用高斯隨機分布的密度函數設置稀疏陣列，在稀疏陣列得到的協方差矩陣經擴展後，增益有了明顯的提高。
As the uncertain strain modes can be well approximated by a Gaussian distribution, the probability density function(PDF) of the uncertain parameters was constructed by Bayesian statistical method.
然後，對可能損傷的杆件乘以一剛度系數，由於應變模态誤差能用高斯分布近似模拟，應用貝葉斯統計方法便可得到這些參數的概率密度函數。
One-dimensional minimum error thresholding method assumed that the histogram distributions of object and background are governed by a mixture Gaussian distribution.
一維最小誤差阈值法假設了目标和背景的灰度分布服從混合正态分布。
Based on pseudo random uniformity number and the central limit theory of great numeral, random numbers of Gaussian distribution are produced.
以僞均勻隨機數為基礎，根據大數中心極限定理，産生高斯分布隨機數。
The original energy distribution of a laser beam is Gaussian distribution.
一般雷射光束之能量分布為高斯分布。
The results seem to indicate that the hypothesis of equal charge displacement gives the best fit to the Gaussian distribution for the masses of the fission fragments.
計算表明，等電荷位移假設得到的結果一般和裂變碎片高斯質量分布曲線拟合得最好。
This is called the normal distribution or the Gaussian distribution-- it's a continuous distribution.
這就是正态分布，也叫做高斯分布，這是一個連續分布。
AcontrollableCAmodel with 25 neighbourhood cells has been built, in which seed dispersal, as a key process of annual weed population dynamics, has been described by Gaussian distribution.
一個具有25個鄰域細胞的可控細胞自動機在本文中被建立。 此CA模型包含雜草種子的擴散作為植物種群擴散的一個關鍵過程，其由高斯分布模型所描述。
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。
Based on the results of information diffusion, the probability of the num: her of the serious fires per annum can be fitted with the Gaussian distribution.
基於信息擴散的結果，計算了以年為周期的重大火災發生次數的超越概率分布，建立了一種重大火災頻度估算方法。
To enhance the reality of vibration simulation testing and the effectiveness of vibration stimulation testing, it is necessary to generate true random drive signals with super-Gaussian distribution.
提高振動模拟試驗的真實性和增強振動激發試驗的效力都需要産生超高斯分布的真隨機驅動信號。
However, the computation complexity of direct searching method is so high that a Gaussian distribution direct-searching method is proposed, which reduces the calculation complexity effectively.
但是，直接搜索法運算複雜度很高，所以文中提出了一種基於高斯分布的直接搜索法，大大降低了原搜索方法的複雜度。
The main results are:1. The horizontal wind speed fluctuations at any height may be approximated by a Gaussian distribution.
得到下面主要結果：（1）各個高度上水平風速模漲落的概率分布近於正态律。
Linear signal processing based on Gaussian distribution assumption is prevalent in the field of signal processing.
基於高斯分布假設的線性信號處理占據了傳統信號處理領域的主導地位。
Several typical radar clutter models of correlated Non-Gaussian distribution are analyzed by the simulation method that is applied abroad at present.
并利用目前廣泛應用的仿真方法分析了幾種典型的相關非高斯分布的雜波模型。
Besides, the comparison of Gaussian distribution and aggregation number distribution of toroids has been processed.
此外，還以高斯分布對複曲面的聚合數分布進行了模拟與比較。
Further, assume that the noise obeys a gaussian distribution.
進一步，假設噪聲服從高斯分布。
Neither value of serum AFP nor CEA conformed to a Gaussian distribution but were rather log-normally distributed both.
血清AFP和CEA值都不呈正太分布，但是都成對數正太分布。
With the same spatial extensions, the angular spreading of the Lorentz-Gauss distribution is higher than that of the Gaussian distribution.
在相同空間分布下，洛倫茲-高斯分布的角擴展程度較高斯分布的大。
Such as Gaussian distribution of unknown parameters can be estimated, but it can not get good results of mixed Gaussian density.
例如對高斯分布可以很好的估計未知參數，但對混合高斯分布的密度就得不到很好的結果。
As a result, it is also known as the Gaussian distribution.
它是分析過程能力的首選分布形式。
The random signal generator has achieved output control of highly precise Gaussian distribution, and imitated random characteristic of nuclear pulse in amplitude and time.
該隨機信號發生器可以實現高精度高斯分布的輸出控制，較好地仿真了核脈沖幅度和時間的隨機特性。
The software developed in this paper mainly contains curve fitting of measuring data, Gaussian distribution estimation of curves, calculation of the size of facula, divergence angle and waist facula.
文中開發的實驗數據處理軟件主要包括測量數據曲線的拟合、判斷曲線是否符合高斯分布、光斑大小的計算、發散角和腰斑大小的計算。
Laser light intensity is of Gaussian distribution.
激光束的光強分布為高斯分布。
The algorithm can separates all independent components from blind source signals, which is non-Gaussian distribution. The algorithm is a new, highly efficient and reliable method in signal processing.
該算法能有效地分離出任意分布的非高斯盲源信號的各個獨立成分，是信號處理的一種新的、高效可靠的方法。
高斯分布（Gaussian Distribution），又稱正态分布（Normal Distribution），是概率論與統計學中最重要的連續概率分布之一。其核心特征表現為數據圍繞均值對稱分布，呈“鐘形曲線”，且均值、中位數和衆數重合。該分布由德國數學家卡爾·弗裡德裡希·高斯（Carl Friedrich Gauss）系統研究并推廣，故得名。
核心特征與數學表達：
概率密度函數 (PDF)： 其概率密度函數由均數（μ）和标準差（σ）決定，公式為： $$ f(x) = frac{1}{sigmasqrt{2pi}} e^{-frac{(x - mu)}{2sigma}} $$ 其中：
形狀特點：
重要性與應用領域： 高斯分布因其良好的數學性質和普遍性，在衆多領域有廣泛應用：
權威性參考來源建議： 為滿足（專業性、權威性、可信度）要求，理解高斯分布的詳細信息可參考以下類型的權威資源：
Gaussian distribution（高斯分布），又稱正态分布（Normal distribution），是統計學和概率論中最重要的連續概率分布之一。其名稱來源於數學家卡爾·弗裡德裡希·高斯，但曆史上其他學者（如亞伯拉罕·棣莫弗和皮埃爾-西蒙·拉普拉斯）也對其發展有重要貢獻。
基本形式
高斯分布的概率密度函數（PDF）為：
$$
f(x) = frac{1}{sigma sqrt{2pi}} , e^{ -frac{(x - mu)}{2sigma} }
$$
其中：
鐘形曲線
圖形呈對稱的鐘形，峰值位於均值 $mu$ 處，兩側逐漸衰減。約68%的數據落在 $[mu-sigma, mu+sigma]$，95%在 $[mu-2sigma, mu+2sigma]$，99.7%在 $[mu-3sigma, mu+3sigma]$（稱為68-95-99.7法則）。
高斯分布因其數學性質（如可微性、閉包性）和實際適用性，成為科學和工程領域最廣泛使用的概率模型之一。
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