Vector Hyper-Delta Distribution and Recommendations on How to Apply It

— A method for vector hyper-delta approximation of random processes is proposed as opposed to the one-dimensional approximation method for real random processes. The method uses Euler’s formula to connect trigonometric and complex functions, introduces index 1 for the X -axis and index i for the Y -axis, and applies the Laplace transform and the complex Dirac delta function proposed by the author. The examples of constructing a complex random vector are given as well as recommendations on simulating random processes that improve capabilities of the known one-dimensional hyper-delta distribution when solving applied problems.