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?
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.
Gaussian noise has an unbounded range. (The support of the Gaussian pdf is infinite.)
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.
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].
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)