Technical Provisions for Mode S Services and Extended Squitter

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DRAFT - Working Paper ASP TSGWP11-01 for review by the TSG during the meeting in June 2011 in Paris C-50 Technical Provisions for Mode S Services and Extended Squitter C.2.6.5 LOCALLY UNAMBIGUOUS CPR DECODING FOR AIRBORNE, TIS-B AND INTENT LAT/LON The following computations shall be performed to obtain the decoded lat/lon for the airborne, intent, and TIS- B messages. For intent lat/lon, i is always 0 (even encoding), whereas airborne and TIS-B lat/lon use both even (i=0) and odd (i=1) encodings. For airborne lat/lon, Nb=17, for intent, Nb=14, and for TIS-B Nb=12 a. Dlati is computed from the equation: Dlat i 360° = 4⋅ NZ − i b. The latitude zone index number, j, is then computed from the values of lats, Dlati and YZi using the equation: ⎛ lat ⎞ s 1 j = floor ⎜ ⎟ ⎝ Dlat ⎟ + floor i ⎠ 2 + MOD lat ( s, Dlati ) − Dlati YZi 2 Nb ⎛ ⎞ ⎜ ⎟ ⎝ ⎠ c. The decoded position latitude, Rlati, is then computed from the values of j, Dlati, and YZi using the equation: Rlati = Dlati ⋅ j + YZ ⎛ ⎞ i ⎜ ⎟ ⎝ ⎠ 2 Nb d. Dloni (the longitude zone size in the E-W direction) is then computed from Rlati using the equation: ⎧ 360° ⎪ , NL( Rlati ) − i Dloni = ⎨ ⎪ 360° , ⎪⎩ when NL when NL ( Rlat ) i ( Rlat ) i − i > 0 − i = 0 Note.— When performing the NL function, the encoding process must ensure that the NL value is established in accordance with Note 5 of §C.2.6.2.d. e. The longitude zone coordinate m is then computed from the values of lons, Dloni, and XZi using the equation: ⎛ m = floor ⎜ ⎝ lon s Draft Dlon i ( ) ⎞ ⎟ + floor ⎠ 1 2 + MOD lon ⎛ s,Dloni ⎜ ⎝ Dlon i − XZi 2 Nb ⎞ ⎟ ⎠ f. The decoded position longitude, Rloni, is then computed from the values of m, XZi, and Dloni using the equation: Rloni = Dloni ⋅ m + XZ ⎛ ⎞ i ⎜ ⎟ ⎝ ⎠ C.2.6.6 LOCALLY UNAMBIGUOUS DECODING FOR SURFACE POSITION The following computations shall be performed to obtain the decoded Latitude and Longitude for the surface position format. 1. Dlati is computed from the equation: Dlat i 90° = 4 ⋅ NZ − i 2. The latitude zone index, j, is then computed from the values of lats, Dlati and YZi using the equation: 2 Nb ( lat , Dlat ) ⎛ lat ⎞ ⎛ ⎞ s 1 MOD s i YZi j = floor ⎜ ⎟ + floor ⎜ + − ⎟ 17 ⎝ Dlati ⎠ ⎝ 2 Dlati 2 ⎠ DRAFT - Working Paper ASP TSGWP11-01 for review by the TSG during the meeting in June 2011 in Paris
Appendix C C-51 3. The decoded position latitude, Rlati, is then computed from the values of j, Dlati, and YZi using the equation: Rlat i ⎛ YZi = Dlati ⋅⎜ j + 17 ⎝ 2 ⎞ ⎟ ⎠ 4. Dloni (the longitude zone size, in the E-W direction) is then computed from Rlati using the equation: ⎧ 90° ⎪ , NL( Rlati ) − i Dloni = ⎨ ⎪ 90° , ⎪⎩ when NL when NL ( Rlat ) i ( Rlat ) i − i > 0 − i = 0 Note.— When performing the NL function, the encoding process must ensure that the NL value is established in accordance with Note 5 of §C.2.6.2.d. 5. The longitude zone coordinate m is then computed from the values of lons, Dloni, and XZi using the equation: ( lon , Dlon ) ⎛ lon ⎞ ⎛ ⎞ s 1 MOD s i XZ i m = floor ⎜ ⎟ + floor ⎜ + − ⎟ 17 ⎝ Dloni ⎠ ⎝ 2 Dloni 2 ⎠ 6. The decoded position longitude, Rloni, is then computed from the values of m, XZi, and Dloni using the equation: ⎛ XZi ⎞ Rlon i = Dloni ⋅⎜ m + 17 ⎟ ⎝ 2 ⎠ C.2.6.7 GLOBALLY UNAMBIGUOUS AIRBORNE POSITION DECODING The CPR algorithm shall utilize one airborne-encoded “even” format reception (denoted XZ0, YZ0), together with one airborne-encoded “odd” format reception (denoted XZ1, YZ1), to regenerate the global geographic position latitude, Rlat, and longitude, Rlon. The time between the “even” and “odd” format encoded position reports shall be not longer than 10 seconds for airborne formats. Notes.— DRAFT - Working Paper ASP TSGWP11-01 for review by the TSG during the meeting in June 2011 in Paris Draft 1. This algorithm might be used to obtain globally unambiguous position reports for aircraft out of the range of ground sensors, whose position reports are coming via satellite data links. It might also be applied to ensure that local positions are being correctly decoded over long ranges from the receiving sensor. 2. The time difference limit of 10 seconds between the even- and odd-format position reports for airborne formats is determined by the maximum permitted separation of 3 NM. Positions greater than 3 NM apart cannot be used to solve for a unique global position. An aircraft capable of a speed of 1850 km/h (1000 kt) will fly about 5.1 km (2.8 NM) in 10 seconds. Therefore, the CPR algorithm will be able to unambiguously decode its position over a 10-second delay between position reports. Given a 17-bit airborne position encoded in the “even” format (XZ0, YZ0) and another encoded in the “odd” format (XZ1, YZ1), separated by no more than 10 seconds (= 3 NM), the CPR algorithm shall regenerate the geographic position from the encoded position reports by performing the following sequence of steps: a. Compute Dlat0 and Dlat1 from the equation: Dlat i 360° = 4⋅ NZ − i DRAFT - Working Paper ASP TSGWP11-01 for review by the TSG during the meeting in June 2011 in Paris
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