π‘ŽΒ±(πœ™ Β± πœ™β€²)= 2cos2{[2π‘›πœ‹π‘Β± βˆ’(πœ™Β±πœ™β€²)]βˆ•2}
𝐴(𝑠)Spreading factor
π΄π‘šSpreading factor for the π‘šπ‘‘β„Ž diffracted field
𝛼Wedge interior angle
𝑏Clearance distance in the knife-edge model
𝛽Angle between building edge and diffracted ray
πΆβˆ•π‘0Carrier-to-noise ratio
πΆβˆ•π‘0,π‘œπ‘π‘’π‘›Carrier-to-noise ratio of the unobstructed signal from the open-sky model
πΆβˆ•π‘0,π‘‘π‘–π‘“π‘“π‘Ÿπ‘Žπ‘π‘‘π‘–π‘œπ‘›Carrier-to-noise ratio of the diffracted signal from simulation
π·π‘˜π‘›π‘–π‘“π‘’βˆ’π‘’π‘‘π‘”π‘’Diffraction coefficient from the knife-edge model
𝐷βˆ₯Diffraction coefficient on βˆ₯ component
𝐷βŠ₯Diffraction coefficient on βŠ₯ component
𝐷1Diffraction coefficient compensates for the discontinuity in the GO field when the o-face is shadowed
𝐷2Diffraction coefficient compensates for the discontinuity in the GO field when the n-face is shadowed
𝐷3Diffraction coefficient compensates for the reflection from the n-face
𝐷4Diffraction coefficient compensates for the reflection from the o-face
𝐷𝑅𝑅Diffraction coefficient between RHCP incident and diffracted fields
𝐷𝑅𝑅,π‘šDiffraction coefficient for the π‘šπ‘‘β„Ž diffracted RHCP field in UTD
π·π‘ˆπ‘‡π·UTD overall diffraction coefficient
𝐄(𝑠)Electric field with a distance 𝑠 from the referenced field
π„π‘Žπ‘šπ‘(𝑠)Electric field amplitude with a distance 𝑠 from the referenced field
Embedded ImageIncident electric field with RHCP
Embedded ImageDiffracted electric field with RHCP
Embedded ImageIncident electric field component parallel to the incidence plane
Embedded ImageIncident electric field component vertical to the incidence plane
Embedded ImageDiffracted electric field component parallel to the diffraction plane
Embedded ImageDiffracted electric field component vertical to the diffraction plane
Embedded ImagePseudorange diffraction delay
πœ€πœŒPseudorange systematic error
πœ€π‘šπ‘Pseudorange error modeled by the multipath noise envelope
𝐹(𝜐)Fresnel integral
𝑗Imaginary unit
π‘˜Wavenumber
𝐿Distance parameter relates to the illumination type of electric field
π‘šNumber of diffracted fields in UTD
𝑛= (2πœ‹ βˆ’ 𝛼)βˆ•πœ‹
𝑁±Integer most nearly satisfying 2π‘›πœ‹π‘Β± βˆ’(πœ™Β±πœ™β€²) = Β±πœ‹
𝑁𝐹Positive integer number
𝑃𝑖Power of the incident field
𝑃𝑑Power of the diffracted field
πœŒπ‘‘π‘–π‘“π‘“π‘Ÿπ‘Žπ‘π‘‘π‘–π‘œπ‘›Diffracted pseudorange from simulation
𝑄Diffraction point location
π‘Ÿ0Distance between satellite and receiver
π‘Ÿ1Distance between satellite and diffraction point
π‘Ÿ2Distance between diffraction point and receiver
π‘Ÿπ‘ŽDistance between satellite to a wavefront in Fresnel zones
π‘Ÿπ‘Distance between a secondary wavelet to receiver in Fresnel zones
π›Ώπ‘ŸExtra distance between the diffracted and the unobstructed signal path
𝑅Receiver location
𝑠Distance between the target and the referenced field location
𝑇(π‘₯)Embedded Image
Embedded ImageUnit vector of the βˆ₯ component for the incident electric field
Embedded ImageUnit vector of the βŠ₯ component for the incident electric field
Embedded ImageUnit vector of the βˆ₯ component for the diffracted electric field
Embedded ImageUnit vector of the βŠ₯ component for the diffracted electric field
Ξ½Embedded Image
𝐱𝑆𝑉Satellite position
𝐱𝑅Receiver position
𝐱𝐡Building corner positions in 3D building model
𝛾1,𝛾2Principal radii of the wavefront curvature
πœ†Wavelength
πœ™β€²Angle from the o-face to the incidence plane
πœ™Angle from the o-face to the diffraction plane
πœŽπ‘ˆπΈπ‘…πΈPseudorange user-equivalent-range-error
Ξ¨(𝑠)Phase function with distance 𝑠
Ξ¨π‘šPhase shift distance from the reference field for the π‘šπ‘‘β„Ž diffracted field
Ξ¨0Phase shift distance between the unobstructed and the reference field
Ξ“= |Dπ‘˜π‘›π‘–π‘“π‘’βˆ’π‘’π‘‘π‘”π‘’,π‘ˆπ‘‡π·|2