Implementing Gaussian random variable by using a uniform random variable

1. How do you generate random variables from uniform distribution?
2. What is the uniform random variable?
3. How do you generate Gaussian random variables in Matlab?

How do you generate random variables from uniform distribution?

The inversion method relies on the principle that continuous cumulative distribution functions (cdfs) range uniformly over the open interval (0,1). If u is a uniform random number on (0,1), then x = F - 1 ( u ) generates a random number x from any continuous distribution with the specified cdf F .

What is the uniform random variable?

Uniform random variables are used to model scenarios where the expected outcomes are equi-probable. For example, in a communication system design, the set of all possible source symbols are considered equally probable and therefore modeled as a uniform random variable.

How do you generate Gaussian random variables in Matlab?

r = normrnd( mu , sigma ) generates a random number from the normal distribution with mean parameter mu and standard deviation parameter sigma . r = normrnd( mu , sigma , sz1,...,szN ) generates an array of normal random numbers, where sz1,...,szN indicates the size of each dimension.