Howtosignalprocessing
- What is the mean value of the random variable?
- How do you find the mean of a random variable?
- Can a random variable be complex?
- What do you understand by complex distribution?
What is the mean value of the random variable?
The mean can be regarded as a measure of `central location' of a random variable. It is the weighted average of the values that X can take, with weights provided by the probability distribution. The mean is also sometimes called the expected value or expectation of X and denoted by E(X).
How do you find the mean of a random variable?
To find the expected value, E(X), or mean μ of a discrete random variable X, simply multiply each value of the random variable by its probability and add the products. The formula is given as E(X)=μ=∑xP(x).
Can a random variable be complex?
Section 5.10 Complex Random Variables
A complex random variable is defined by Z = AejΘ, where A and Θ are independent and Θ is uniformly distributed over (0, 2π). Find E[Z].
What do you understand by complex distribution?
In probability theory, the family of complex normal distributions, denoted or , characterizes complex random variables whose real and imaginary parts are jointly normal. The complex normal family has three parameters: location parameter μ, covariance matrix , and the relation matrix .
