Acronyms and Symbols 9 of kind and order standard deviation of random variable given as an argument parameters with indices specified in a set s in a subset of index tion of the SAGE algorithm output signal from an antenna array the region where the Tx array is confined the region where the path co hep ofthpo he日 a period separatio etween the beginnings of two consecutive measure. wave length the number of antennas in the transmitter site the ocation of the weight ot A(9 of the parameter() Dolkoegorfnominalaimuthofarmal azimuth spread the the radio channe power spectrum of the correlator output in theRxwith respect nel tra nster matrix Ro(r) autocorrelation function of the processiven as the argument in R)(r) ion parameter nominal azimuth ditectonaeae in the Nau ce formula step size in the Newton-Forward-Difference formula a forward shift operator in the Newton-Forward-Difference ovaparameter in the Fisher-Bingham5 distribution Acronyms and Symbols 9 Γ( · ) the gamma function In ( · ) the modified Bessel function of the first kind and order n σ ( · ) standard deviation of random variable given as an argument θ parameter vector θS parameters with indices specified in a set S in a subset of { 1, . . . , p } θ S˜ parameters with indices listed in the complement of S intersected with { 1, . . . , p } X S hidden-data space for θ S S i index set in the ith iteration of the SAGE algorithm Y ( t ) output signal from an antenna array W ( t ) noise vector D total number of path components R1 the region where the Tx array is confined R2 the region where the Rx array is confined θℓ parameter vector associated with the ℓth path component Aℓ the polarization matrix of the ℓth propagation path fk,m,p(Ω) the field pattern of the mth element of Array k for polarization p u ( t ) the input signal vector Ω a unit direction vector Tt a sounding period Ts a sensing period of a Rx antenna Tr a period separating two consecutive sensing intervals Tcy separation between the beginnings of two consecutive measure￾ment cycles Tg the guard interval σ2w noise variance λ wave length M1 the number of antennas in the transmitter site M2 the number of antennas in the receiver site rk,m the location of the mth element of Array k αℓ,p2,p1 weight of the polarization component with Tx polarization p1 and Rx polarization p 2 Λ( · ) loglikelihood function of the parameter(s) given as an argument ν Doppler frequency φˇ estimation error of nominal azimuth of arrival σφ˜ azimuth spread h(t; θ) the spread function of the radio channel Pd(θ) power spectrum of the dth path component with respect to θ P ( θ ) power spectrum of the correlator output in the Rx with respec t to θ H ( t ) channel transfer matrix H˜ ( t ) channel matrix distorted by noise R ( · ) ( τ ) autocorrelation function of the process given as the argument in the subscript R ( ·)( · ) ( τ ) cross-correlation function of the two processes given as arguments κ concentration parameter φ¯ nominal azimuth σΩ direction spread q differential order in the Newton-Forward-Difference formula h step size in the Newton-Forward-Difference formula ∆ a forward shift operator in the Newton-Forward-Difference formula β ovalness parameter in the Fisher-Bingham 5 distribution