whereand are the tx and rx antenna array response vectors, respectively, of rays in cluster , given by (187) (188) where is the wavelength of carrier frequency , and are the corresponding angular 31 spherical unit vectors of the tx and rx, respectively. and are the location matrices of the tx and rx antenna elements in 3D Cartesian coordinates. The location matrices in the vectored impulse response above are provided for an antenna configuration that is a uniform rectangular array consisting of cross polarized antenna elements and arranged in the following manner. FIGURE A1-11 Uniform rectangle antenna array sturcture FIGURE Illustration of distance of uniform antenna array Here BS antenna model is a uniform rectangular panel array, comprising MgNg panels, as illustrated above: is number of panels in a column. Mg – is number of panels in a row. – Ng Antenna panels are uniformly spaced in the horizontal direction with a spacing of and dg,H – in the vertical direction with a spacing of dg,V. On each antenna panel, antenna elements are placed in the vertical and horizontal direction, – where N is the number of columns, M is the number of antenna elements with the same polarization in each column. Antenna numbering on the panel illustrated in the figure assumes observation of the • antenna array from the front (with x-axis pointing towards broad-side and increasing for increasing column number). The antenna elements are uniformly spaced in the horizontal direction with a spacing of • and in the vertical direction with a spacing of dH dV. The antenna panel is either single polarized (P=1) or dual polarized (P=2). • In case of a single cross polarized antenna, . In case of a uniform rectangular array of cross polarized antennas with no sub arrays, For a URA configuration shown above, or is a matrix of dimension. Take for example, (189) where: (190) The spherical unit vectors are: (191)
whereand are the tx and rx antenna array response vectors, respectively, of rays in cluster , given by (187) (188) where is the wavelength of carrier frequency , and are the corresponding angular 31 spherical unit vectors of the tx and rx, respectively. and are the location matrices of the tx and rx antenna elements in 3D Cartesian coordinates. The location matrices in the vectored impulse response above are provided for an antenna configuration that is a uniform rectangular array consisting of cross polarized antenna elements and arranged in the following manner. FIGURE A1-11 Uniform rectangle antenna array sturcture FIGURE Illustration of distance of uniform antenna array Here BS antenna model is a uniform rectangular panel array, comprising MgNg panels, as illustrated above: – Mg is number of panels in a column. – Ng is number of panels in a row. – Antenna panels are uniformly spaced in the horizontal direction with a spacing of dg,H and in the vertical direction with a spacing of dg,V. – On each antenna panel, antenna elements are placed in the vertical and horizontal direction, where N is the number of columns, M is the number of antenna elements with the same polarization in each column. • Antenna numbering on the panel illustrated in the figure assumes observation of the antenna array from the front (with x-axis pointing towards broad-side and increasing for increasing column number). • The antenna elements are uniformly spaced in the horizontal direction with a spacing of dH and in the vertical direction with a spacing of dV. • The antenna panel is either single polarized (P=1) or dual polarized (P=2). In case of a single cross polarized antenna, . In case of a uniform rectangular array of cross polarized antennas with no sub arrays, For a URA configuration shown above, or is a matrix of dimension. Take for example, (189) where: (190) The spherical unit vectors are: (191)
R-REP-M.2412-2017-MSW-E.docx