1. A method for implementing a statistical filter in a radio, comprising: mapping a power spectrum to find pole locations that approximate the power spectrum; determining a set of eigenvalues, wherein determining the set of eigenvalues comprises mapping the pole locations to the edges of, or inside of, a polygon laying inside a unit circle, the polygon having the same number of sides as an order of the statistical filter and a vertex mapped to unity; obtaining a stochastic matrix from the set of eigenvalues, wherein the stochastic matrix comprises a set of values; utilizing the set of values of the stochastic matrix as transition probabilities for the statistical filter; and forming a transmission a transmission at a first radio comprising the statistical filter.