Carlo fischione kth principles of wireless sensor networks august 31 2015 27 36 components in a wireless node memory controller power supply communication device sensors actuators lets now focus on the protocols that are followed at the communication device carlo fischione kth principles of wireless sensor networks august 31 2015 28 36 wsn protocols the iso osi stack the . Carlo fischione kth principles of wireless sensor networks september 30 2014 2 33 todays lecture today we study how to perform static estimation from noisy measurements of the sensors static means that the estimation is of a variable constant or random that does not evolve over time carlo fischione kth principles of wireless sensor networks september 30 2014 3 33 motivation . Cambridge core distributed networked and mobile computing principles of wireless sensor networks by mohammad s obaidat. Carlo fischione kth principles of wireless sensor networks october 15 2014 23 38 wsncs with rate constraint the stability condition of such model is given by the following theorem theorem given a wsncs as de ned above if there exists a lyapunov function such that vxk rnr and scalars 1 2 n corresponding to each rate such that 1r 1 n r2 2 r n 1 and vxk 1 vxk i . Piergiuseppe di marco kth principles of wireless sensor networks september 22 2015 8 32 preliminaries given two random variables x and y the mmse estimator of x given a realization y y is given by the conditional expectation x efxjy yg piergiuseppe di marco kth principles of wireless sensor networks september 22 2015 9 32 dynamic estimation from one sensor proposition 1