Attenuation time series synthesis for land mobile satellite links

This contribution provides a method to synthesize attenuation time series for land mobile satellite links. The time series generator is based on an attenuation threshold dependent fade duration model of the land mobile satellite channel [1, 7]. The fade duration is modeled with partitioned Fritchman's Markov-chain and parameterized on a land mobile satellite measurement performed on the board of a moving vehicle, thus the fading events can be observed in the measurement data are due the multipath propagation. To achieve attenuation time series from the fade duration process the synthesized time series are generated in two steps. At first a two-state Markov model applied to generate the long term behavior of the channel and it models the fading/non fading states. The second step is to simulate the fine structure of the single fading events for the fading periods calculated previously with the two-state fade/non-fade Markov chain. The attenuation threshold dependent Fritchman's model of the fade duration is applicable for the parameterization of the two-state fade/non-fade model and also for the generation of single fading events with any desired duration and fade depth. The combination of the long-term and the short-term synthesized events can be applied to generate time series for long term period.