Complex distributions | Continuous distributions | Multivariate continuous distributions

Complex normal 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 . The standard complex normal is the univariate distribution with , , and . An important subclass of complex normal family is called the circularly-symmetric (central) complex normal and corresponds to the case of zero relation matrix and zero mean: and . This case is used extensively in signal processing, where it is sometimes referred to as just complex normal in the literature. (Wikipedia).

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Complex Wishart distribution | Generalized chi-squared distribution | Covariance matrix | Signal processing | Multivariate normal distribution | Rayleigh distribution | Complex random vector | Probability theory | Conjugate transpose | Directional statistics | Wishart distribution | Hermitian matrix | Normal distribution | Location parameter | Exponential distribution | Characteristic function (probability theory) | Symmetric matrix | Complex random variable