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 A-34 Technical Provisions for Mode S Services and Extended Squitter c) The decoded position latitude, Rlati, is then computed from the values of j, Dlati, and YZi using the equation: ⎛ YZi ⎞ Rlati = Dlati ⋅ ⎜ j + 17 ⎟ ⎝ 2 ⎠ d) Dloni (the longitude zone size, in the E-W direction) is then computed from Rlati using the equation: ⎧ 90° ⎪ , when NL ( Rlati ) − i > 0 ⎪NL ( Rlati ) − i Dloni = ⎨ ⎪ 90 ° , when NL ( Rlati ) − 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 §A.2.6.2.f. e) The longitude zone coordinate m is then computed from the values of lons, Dloni, and XZi using the equation: ( lon Dlon ) ⎛ lon ⎞ ⎛1MOD , s s i XZ ⎞ i m = floor ⎜ ⎟+ floor ⎜ 17 Dlon ⎜ + − ⎟ i 2 Dloni 2 ⎟ ⎝ ⎠ ⎝ ⎠ f) The decoded position longitude, Rloni, is then computed from the values of m, XZi, and Dloni using the equation: ⎛ XZi ⎞ Rloni = Dloni ⋅ ⎜m+ 17 ⎟ ⎝ 2 ⎠ A.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 no longer than 10 seconds. Draft Note 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. Note 2.— The time difference limit of 10 seconds between the even- and odd-format position reports is determined by the maximum permitted separation of 3 NM. Positions greater than 3 NM apart cannot be used to solve a unique global position. An aircraft capable of a speed of 1 852 km/h (1 000 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. As airborne-format messages are initially received from a particular aircraft, if there is no established track on this aircraft, then a global decode shall be performed using even and odd format receptions, as described in this section. Note 3.— If the aircraft has been transmitting surface format messages and their receptions were in track, then it is not necessary to use even-odd decoding. Beginning with the first individual airborne message reception, the location can be decoded using the local decode technique, based on the previous target location as the reference. DRAFT - Working Paper ASP TSGWP11-01 for review by the TSG during the meeting in June 2011 in Paris
DRAFT - Working Paper ASP TSGWP11-01 for review by the TSG during the meeting in June 2011 in Paris Appendix A A-35 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: b) Compute the latitude index: 360° Dlati = 4 ⋅ NZ − i ⎛59 ⋅YZ0 −60⋅YZ1 1 ⎞ j = floor ⎜ + 17 2 2 ⎟ ⎝ ⎠ c) Compute the values of Rlat0 and Rlat1 using the following equation: ⎛ YZi ⎞ Rlati = Dlati ⋅⎜MOD ( j,60 − i ) + 17 ⎟ ⎝ 2 ⎠ Southern hemisphere values of Rlati will fall in the range from 270° to 360°. Subtract 360° from such values, thereby restoring Rlati to the range from –90° to +90°. d) If NL(Rlat0) is not equal to NL(Rlat1) then the two positions straddle a transition latitude, thus a solution for global longitude is not possible. Wait for positions where they are equal. e) If NL(Rlat0) is equal to NL(Rlat1) then proceed with computation of Dloni i, according to whether the most recently received airborne position message was encoded with the even format (i = 0) or the odd format (i = 1): f) Compute m, the longitude index: 360° Dloni = n where ni = greater of [NL(Rlati) – i] and 1. i Draft ( ) ⎛ XZ0⋅ NL −1− XZ1⋅NL 1 ⎞ m = floor ⎜ + 17 ⎟ 2 2 ⎟ ⎝ ⎠ where NL = NL(Rlati). g) Compute the global longitude, Rlon0 or Rlon1, according to whether the most recently received airborne position message was encoded using the even format (that is, with i = 0) or the odd format (i = 1): ⎛ XZi ⎞ Rloni = Dloni ⋅ ⎜MOD ( m, ni) + 17 ⎟ ⎝ 2 ⎠ where ni = greater of [NL(Rlati) – i] and 1. h) A reasonableness test is applied to the resulting decoded position in accordance with §A.2.7.2. DRAFT - Working Paper ASP TSGWP11-01 for review by the TSG during the meeting in June 2011 in Paris
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Msg Bit # “ME” Bit # Appendix C
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