how to generate continuous data symbol (random real number)?

Consider a symbol s, with zero mean, E{s}=0, variance 1 and amplitude A=2, such that, .
I want to generate a random real number s. Kindly help. Thanks in anticipation.

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(rand()*2-1) * A
would be uniform distribution with mean 0 and in the range -A to +A.
Unfortunately it will not have the right variance, so you will not be able to use uniform random distribution.

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Pulkit
Pulkit am 9 Nov. 2022

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Hi,
According to my understanding you want to generate random real numbers s for some distribution with specific mean and variance. . Since the distribution is not mentioned, let us assume that you want to generate random symbols from the Normal Distribution, you can refer to the following link,
Hope this helps!

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Normal distribution cannot generate in a range -- not unless you use a truncated normal distribution.
betarnd can give continuous random numbers within a range and that are non-uniform.

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