πΒ±(π Β± πβ²) | = 2cos2{[2πππΒ± β(πΒ±πβ²)]β2} |
π΄(π ) | Spreading factor |
π΄π | Spreading factor for the ππ‘β diffracted field |
πΌ | Wedge interior angle |
π | Clearance distance in the knife-edge model |
π½ | Angle between building edge and diffracted ray |
πΆβπ0 | Carrier-to-noise ratio |
πΆβπ0,ππππ | Carrier-to-noise ratio of the unobstructed signal from the open-sky model |
πΆβπ0,ππππππππ‘πππ | Carrier-to-noise ratio of the diffracted signal from simulation |
π·πππππβππππ | Diffraction coefficient from the knife-edge model |
π·β₯ | Diffraction coefficient on β₯ component |
π·β₯ | Diffraction coefficient on β₯ component |
π·1 | Diffraction coefficient compensates for the discontinuity in the GO field when the o-face is shadowed |
π·2 | Diffraction coefficient compensates for the discontinuity in the GO field when the n-face is shadowed |
π·3 | Diffraction coefficient compensates for the reflection from the n-face |
π·4 | Diffraction coefficient compensates for the reflection from the o-face |
π·π
π
| Diffraction coefficient between RHCP incident and diffracted fields |
π·π
π
,π | Diffraction coefficient for the ππ‘β diffracted RHCP field in UTD |
π·πππ· | UTD overall diffraction coefficient |
π(π ) | Electric field with a distance π from the referenced field |
ππππ(π ) | Electric field amplitude with a distance π from the referenced field |
| Incident electric field with RHCP |
| Diffracted electric field with RHCP |
| Incident electric field component parallel to the incidence plane |
| Incident electric field component vertical to the incidence plane |
| Diffracted electric field component parallel to the diffraction plane |
| Diffracted electric field component vertical to the diffraction plane |
| Pseudorange diffraction delay |
ππ | Pseudorange systematic error |
πππ | Pseudorange error modeled by the multipath noise envelope |
πΉ(π) | Fresnel integral |
π | Imaginary unit |
π | Wavenumber |
πΏ | Distance parameter relates to the illumination type of electric field |
π | Number of diffracted fields in UTD |
π | = (2π β πΌ)βπ |
πΒ± | Integer most nearly satisfying 2πππΒ± β(πΒ±πβ²) = Β±π |
ππΉ | Positive integer number |
ππ | Power of the incident field |
ππ | Power of the diffracted field |
πππππππππ‘πππ | Diffracted pseudorange from simulation |
π | Diffraction point location |
π0 | Distance between satellite and receiver |
π1 | Distance between satellite and diffraction point |
π2 | Distance between diffraction point and receiver |
ππ | Distance between satellite to a wavefront in Fresnel zones |
ππ | Distance between a secondary wavelet to receiver in Fresnel zones |
πΏπ | Extra distance between the diffracted and the unobstructed signal path |
π
| Receiver location |
π | Distance between the target and the referenced field location |
π(π₯) | |
| Unit vector of the β₯ component for the incident electric field |
| Unit vector of the β₯ component for the incident electric field |
| Unit vector of the β₯ component for the diffracted electric field |
| Unit vector of the β₯ component for the diffracted electric field |
Ξ½ | |
π±ππ | Satellite position |
π±π
| Receiver position |
π±π΅ | Building corner positions in 3D building model |
πΎ1,πΎ2 | Principal radii of the wavefront curvature |
π | Wavelength |
πβ² | Angle from the o-face to the incidence plane |
π | Angle from the o-face to the diffraction plane |
πππΈπ
πΈ | Pseudorange user-equivalent-range-error |
Ξ¨(π ) | Phase function with distance π |
Ξ¨π | Phase shift distance from the reference field for the ππ‘β diffracted field |
Ξ¨0 | Phase shift distance between the unobstructed and the reference field |
Ξ | = |Dπππππβππππ,πππ·|2 |