Weibull Clutter Distribution Simulation

This article discusses Weibull clutter simulation, which is a statistical term used to model random events in complex systems. Specifically, it refers to a probability distribution function that describes the frequency of random event occurrences. The method was originally developed by Swedish engineer Waloddi Weibull in the 1940s. Since then, the Weibull distribution has been widely applied across various fields including engineering, finance, and medicine.

From a code implementation perspective, Weibull clutter simulation typically involves generating random variables using the inverse transform sampling method. Key parameters include the shape parameter (k) controlling the distribution's skewness and the scale parameter (λ) determining its spread. The implementation often utilizes MATLAB's wblrnd function or Python's numpy.random.weibull for efficient random number generation. The algorithm calculates clutter amplitude samples using the formula: x = λ*(-ln(1-rand()))^(1/k), where rand() generates uniform random numbers between 0 and 1.