用Matlab产生幅度在[-1 1]之间的白噪声 [英] Generate white noise with amplitude between [-1 1] with Matlab

问题描述

我正在使用Matlab函数Y = WGN(M,N,P)生成具有高斯分布的白噪声.此功能使用功率值(dB瓦)来计算输出信号的幅度.由于我想获得-1 V至1 V的输出幅度范围，因此有一个功能模式线性".

I'm using the Matlab function Y = WGN(M,N,P) to generate white noise with Gaussian distribution. This function uses a power value (dB Watts) to calculate the amplitude of the output signal. Since I want to get an output amplitude range of -1 V to 1 V there is a function mode 'linear'.

我正在尝试使用线性"模式来产生输出，但结果是输出幅度范围为[-4 4]

I'm trying to use the 'linear' mode to produce the output but the result is an output amplitude range of [-4 4]

RandomSignal = wgn(10000,1,1,1,'linear');
Time = linspace(0,10,10000);
figure()
plot(Time,RandomSignal)

figure()
hist(RandomSignal,100) 

是否还有另一个函数可以产生此结果，或者我只是做错了什么?

Is there another function to produce this result, or am I just doing something wrong?

推荐答案

正如其他人所说，您不能限制高斯分布. 您可以做的是将范围定义为6个标准差，然后使用randn(m，sigma)生成信号.

As others have said, you can't limit a Gaussian distribution. What you can do is define your range to be 6 standard deviations, and then use randn(m,sigma) to generate your signal.

例如，如果您想要范围为[-1 1]，则将选择sigma = 2/6 = 0.333和Mu = 0.这将有99.7％的机会在该范围内.然后，您可以向上和向下舍入超出范围的数字.

For example if you want a range of [-1 1] you will choose sigma=2/6=0.333 and Mu=0. This will create a chance of 99.7% to be inside the range. You can then round up and down those numbers that are out of the range.

这不是纯高斯分布，但这是您可以获得的最接近的分布.

This will not be a pure Gaussian distribution, but this is the closest you can get.

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