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Table 2 Elements required in (45) to assemble the FIM in (35) for a Rayleigh fading channel

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

p Ψ p A B C
1 k 0 R ϕ T K P s Λ τ /k0
2 λ n R ϕ T K P s Λ τ / k 0
3 β R ϕ T K \({\mathbf {P_{s}\partial \left (G_{s}\boldsymbol {\Lambda }_{\tau } G_{s}^{T}\right)/\partial \beta }}\)
4 P s R ϕ T K \({\mathbf {G_{s}\boldsymbol {\Lambda }_{\tau } G_{s}^{T}}}\)
5 \(\sigma _{w}^{2}\) I Ns I K I N
6 α R ϕ T / α \({\mathbf {P_{s}G_{s}\boldsymbol {\Lambda }_{\tau } G_{s}^{T}}}\)
7: N p ρ p−6 R ϕ / ρ p−6 T K \({\mathbf {P_{s}G_{s}\boldsymbol {\Lambda }_{\tau } G_{s}^{T}}}\)
  1. General modeling of a NLOS dispersed signal