Estimating the number of received signals by the "deterministic-MDL-criterion"

Abstract

In this paper we consider estimation methods, which are based on the theory of "minimum description length" (MDL). Considering the proof of the MDL criterion given by G. Schwarz, the "deterministic-MDL-criterion" is derived and compared to the "eigen-MDL-criterion", proposed by Wax et. al. Having only a restricted number of sampled data in most cases the new criterion leads to better estimates than the "eigen-MDL-criterion". Our theoretical results are validated by numerical simulations.