**Matlab code for the paper "Distributed remote estimation over the collisionchannel with and without local communication" **
- Fig_4_Robustness_threshold.m: Monte-Carlo Simulation for robustness with respect to the disturbances on the mean
- Fig_5_Average_consensus_based_decentralized_scheme.m: The empirical performance of average consensus based scheme as a function of time
- Fig_6_Quantile_estimation_decentralized_scheme.m`: The empirical performance of quantile estimation decentralized scheme as a function of time
- Fig_7_Lipschitz_plot.m: Optimal threshold and its derivative as functions of the variance
- Fig_8_Fast_quantile_estimation_decentralized_schem.m: The empirical performance of fast quantile estimation decentralized scheme as a function of time
- Table_I_Search_interval.m: Search interval for Gaussian observations
- Table_II_Switching_time.m: Switching-time for different values delta
- random_graph.m: generate random geometric graph
- laprnd.m: generate i.i.d. laplacian random variables
- threshold_symmetric.m: cost function as a function of the threshold T
- func_upperbound.m: function in Lemma 4
- qinv.m: get the inverse function of the threshold T
- func.m
- graph_n.mat: random graph with n nodes
- threshold_gaussian_n_k.mat: