Discrete simulation of power law noise (for oscillator stability evaluation)

Power law noise plays an important role in the description of high performance oscillators. A new algorithm and computer code for simulating power law noises is presented. The general theory of noise simulation is investigated to determine the criteria for evaluating and deriving simulation methods. Past techniques are evaluated, and the new method is shown to provide improvements, particularly because it results in nonstationary noise sequences that are also scale-invariant and causal and have the proper autospectral densities and Allan variances.>