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Figure 7 | EURASIP Journal on Wireless Communications and Networking

Figure 7

From: On the maximum likelihood estimation of the ToA under an imperfect path loss exponent

Figure 7

RMSE of the ML distance estimate as a function of the SNR. NLOS transmission with γ0=3.5, δ γ =0.2, σ dB 2 =7.29, c τ0=4 m, β ̄ =3.1007×1 0 9 Hz, sampling time = 0.01 ps, and NR=6,000 independent runs. Recall that we have modeled the MSE as a random variable with mean μ ε 2 (Equation (50)) and variance σ ε 2 2 (Equation (51)). The analytical approximation of the RMSE of the ML ToA estimation is μ ε 2 , and we also show μ ε 2 ± σ ε 2 in the plot.

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