问题
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'.
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)
Is there another function to produce this result, or am I just doing something wrong?
回答1:
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.
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.
This will not be a pure Gaussian distribution, but this is the closest you can get.
回答2:
why you just take randn function of whatever bound and then just normalize it like this ex.
noise=randn(400); noise=noise./max(max(noise));
so whatever is the output of randn finally you will have a w.n. inside [-1 1].
回答3:
Gaussian noise has an unbounded range. (The support of the Gaussian pdf is infinite.)
回答4:
You can use rand rather than Gaussian generator. The output range of rand is 0-1, so to make it in the range -1 1 you use rand(args)*2 -1.
It should be noted that this generator is sampling a uniform density.
回答5:
Don't want to say something very wrong, but when I copied your code and changed
RandomSignal = .25*wgn(10000,1,1,1,'linear');
it was then ok. Hope it works for you.(Assuming random data/4 is still random data)
来源：https://stackoverflow.com/questions/14527915/generate-white-noise-with-amplitude-between-1-1-with-matlab