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Table 3 Definition of elements in (48) required for additional derivatives in (34) when computing the FIM

From: Cramer-Rao bounds in the estimation of time of arrival in fading channels

p

Ψ p

D

E

F

1

k 0

b ϕ

α t

\(A_{0}\partial \mathbf {g}^{(k_{0})}/\partial k_{0}\)

2

α n

3

β

b ϕ

α t

\(A_{0}\partial \mathbf {g}^{(k_{0})}/\partial \beta \)

4

P s

5

\(\sigma _{w}^{2}\)

6

α

b ϕ

α t / α

\({A_{0}\mathbf {g}^{k_{0}}}\)

7: Np−1

ρ p−6

b ϕ / ρ p−6

α t

\({A_{0}\mathbf {g}^{k_{0}}}\)

N p

A 0

b ϕ

α t

\(\phantom {\dot {i}\!}{\mathbf {g}^{k_{0}}}\)

  1. Modeling of a LOS Rice fading channel