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ɇɚɭɱɧɵɣ ȼɟɫɬɧɢɤ ɆȽɌɍ ȽȺ
ɋivil Avition High TECHNOLOGIES
Ɍɨɦ 19, ʋ 04, 2016
Vol. 19, ʋ 04, 2016
ɍȾɄ 621.396.96
ɍɉɊȺȼɅȿɇɂȿ ɆɈɓɇɈɋɌɖɘ ɉɋȿȼȾɈɋɉɍɌɇɂɄȺ
ɉɊɂ ɁȺɏɈȾȿ ɇȺ ɉɈɋȺȾɄɍ ȼɈɁȾɍɒɇɈȽɈ ɋɍȾɇȺ
ȼ.ȼ. ȿɊɈɏɂɇ
ɂɫɫɥɟɞɨɜɚɧɨ ɜɥɢɹɧɢɟ ɫɢɝɧɚɥɚ ɩɫɟɜɞɨɫɩɭɬɧɢɤɚ (ɉɋ) ɧɚ ɤɚɱɟɫɬɜɨ ɮɭɧɤɰɢɨɧɢɪɨɜɚɧɢɹ ȽɅɈɇȺɋɋ/GPS ɩɪɢɟɦɧɢɤɨɜ ɫɩɭɬɧɢɤɨɜɨɣ ɧɚɜɢɝɚɰɢɢ ɢ ɩɨɥɭɱɟɧɨ ɷɤɫɩɟɪɢɦɟɧɬɚɥɶɧɨɟ ɩɨɞɬɜɟɪɠɞɟɧɢɟ ɩɪɨɹɜɥɟɧɢɸ ɷɮɮɟɤɬɚ «ɛɥɢɠɧɢɣɞɚɥɶɧɢɣ» ɫ ɩɨɦɨɳɶɸ ɩɪɨɝɪɚɦɦɧɨ-ɚɩɩɚɪɚɬɧɨɝɨ ɤɨɦɩɥɟɤɫɚ NI GPS Simulation Toolkit. ɋɢɧɬɟɡɢɪɨɜɚɧ ɚɥɝɨɪɢɬɦ ɨɩɬɢɦɚɥɶɧɨɝɨ ɭɩɪɚɜɥɟɧɢɹ ɦɨɳɧɨɫɬɶɸ ɉɋ ɧɚ ɨɫɧɨɜɟ ɨɰɟɧɤɢ ɜɪɟɦɟɧɢ ɡɚɞɟɪɠɤɢ ɫɢɝɧɚɥɚ ɜ ɥɢɧɢɢ ɩɟɪɟɞɚɱɢ ɞɚɧɧɵɯ.
ɉɨɤɚɡɚɧɨ, ɱɬɨ ɪɟɚɥɢɡɚɰɢɹ ɩɪɟɞɥɨɠɟɧɧɨɝɨ ɚɥɝɨɪɢɬɦɚ ɨɩɬɢɦɚɥɶɧɨɝɨ ɭɩɪɚɜɥɟɧɢɹ ɩɨɡɜɨɥɹɟɬ ɭɫɬɪɚɧɢɬɶ ɩɪɨɹɜɥɟɧɢɟ ɷɮɮɟɤɬɚ «ɛɥɢɠɧɢɣ-ɞɚɥɶɧɢɣ» ɢ ɨɛɟɫɩɟɱɢɬɶ ɨɞɧɨɜɪɟɦɟɧɧɵɣ ɩɪɢɟɦ ɫɢɝɧɚɥɨɜ ɧɚɜɢɝɚɰɢɨɧɧɵɯ ɫɩɭɬɧɢɤɨɜ
ȽɅɈɇȺɋɋ/GPS ɢ ɉɋ.
Ʉɥɸɱɟɜɵɟ ɫɥɨɜɚ: ɩɫɟɜɞɨɫɩɭɬɧɢɤ, ɨɩɬɢɦɚɥɶɧɨɟ ɭɩɪɚɜɥɟɧɢɟ ɦɨɳɧɨɫɬɶɸ, ɜɪɟɦɹ ɡɚɞɟɪɠɤɢ ɫɢɝɧɚɥɚ, ɍɄȼ
ɥɢɧɢɹ ɩɟɪɟɞɚɱɢ ɞɚɧɧɵɯ.
ȼȼȿȾȿɇɂȿ
ȼ ɧɚɫɬɨɹɳɟɟ ɜɪɟɦɹ ɨɞɧɢɦ ɢɡ ɧɚɩɪɚɜɥɟɧɢɣ ɫɨɜɟɪɲɟɧɫɬɜɨɜɚɧɢɹ ɫɢɫɬɟɦɵ ɨɪɝɚɧɢɡɚɰɢɢ ɢ
ɭɩɪɚɜɥɟɧɢɹ ɜɨɡɞɭɲɧɵɦ ɞɜɢɠɟɧɢɟɦ (ɍȼȾ) ɹɜɥɹɟɬɫɹ ɪɟɚɥɢɡɚɰɢɹ ɪɚɡɪɚɛɨɬɚɧɧɨɣ ɦɟɠɞɭɧɚɪɨɞɧɨɣ
ɨɪɝɚɧɢɡɚɰɢɟɣ ɝɪɚɠɞɚɧɫɤɨɣ ɚɜɢɚɰɢɢ (ɂɄȺɈ) ɤɨɧɰɟɩɰɢɢ – ɫɜɹɡɶ, ɧɚɜɢɝɚɰɢɹ, ɧɚɛɥɸɞɟɧɢɟ ɢ ɨɪɝɚɧɢɡɚɰɢɹ ɜɨɡɞɭɲɧɨɝɨ ɞɜɢɠɟɧɢɹ (CNS/ȺɌɆ), ɨɫɧɨɜɚɧɧɨɣ ɧɚ ɩɪɢɧɰɢɩɚɯ ɡɨɧɚɥɶɧɨɣ ɧɚɜɢɝɚɰɢɢ.
ɋɨɝɥɚɫɧɨ ɤɨɧɰɟɩɰɢɢ CNS/ATM ɧɚɜɢɝɚɰɢɹ ɢ ɬɨɱɧɨɟ ɨɩɪɟɞɟɥɟɧɢɟ ɜɪɟɦɟɧɢ ɞɨɫɬɢɝɚɟɬɫɹ ɡɚ ɫɱɟɬ
ɢɫɩɨɥɶɡɨɜɚɧɢɹ ɜ ɤɚɱɟɫɬɜɟ ɨɫɧɨɜɧɨɝɨ ɢɧɫɬɪɭɦɟɧɬɚ ɝɥɨɛɚɥɶɧɨɣ ɧɚɜɢɝɚɰɢɨɧɧɨɣ ɫɩɭɬɧɢɤɨɜɨɣ ɫɢɫɬɟɦɵ (Ƚɇɋɋ).
ȼɵɩɨɥɧɟɧɢɟ ɜɵɫɨɤɢɯ ɬɪɟɛɨɜɚɧɢɣ ɤ ɬɨɱɧɨɫɬɢ ɧɚɜɢɝɚɰɢɨɧɧɵɯ ɨɩɪɟɞɟɥɟɧɢɣ ɦɨɠɟɬ ɛɵɬɶ
ɞɨɫɬɢɝɧɭɬɨ ɫ ɩɨɦɨɳɶɸ ɦɟɬɨɞɨɜ ɞɢɮɮɟɪɟɧɰɢɚɥɶɧɨɣ ɫɩɭɬɧɢɤɨɜɨɣ ɧɚɜɢɝɚɰɢɢ. Ⱦɢɮɮɟɪɟɧɰɢɚɥɶɧɚɹ ɩɨɞɫɢɫɬɟɦɚ (Ⱦɉɋ) ɩɨɡɜɨɥɹɟɬ ɨɛɟɫɩɟɱɢɬɶ ɬɨɱɧɵɣ ɡɚɯɨɞ ɧɚ ɩɨɫɚɞɤɭ ɢ ɩɨɫɚɞɤɭ ɜɨɡɞɭɲɧɨɝɨ
ɫɭɞɧɚ ɫ ɥɸɛɨɝɨ ɧɚɩɪɚɜɥɟɧɢɹ, ɚ ɬɚɤɠɟ ɦɚɧɟɜɪɢɪɨɜɚɧɢɟ ɜ ɪɚɣɨɧɟ ɩɨɫɚɞɤɢ ɩɨ ɤɪɢɜɨɥɢɧɟɣɧɵɦ ɬɪɚɟɤɬɨɪɢɹɦ [1, 2]. Ⱦɉɋ ɪɟɲɚɟɬ ɡɚɞɚɱɢ ɮɨɪɦɢɪɨɜɚɧɢɹ ɧɚ ɥɨɤɚɥɶɧɨɣ ɤɨɧɬɪɨɥɶɧɨ-ɤɨɪɪɟɤɬɢɪɭɸɳɟɣ
ɫɬɚɧɰɢɢ (ɅɄɄɋ) ɞɢɮɮɟɪɟɧɰɢɚɥɶɧɵɯ ɩɨɩɪɚɜɨɤ (Ⱦɉ) ɢ ɩɟɪɟɞɚɱɢ ɧɚ ɛɨɪɬ ɜɨɡɞɭɲɧɨɝɨ ɫɭɞɧɚ ɩɨ
ɤɚɧɚɥɭ ɨɛɦɟɧɚ ɞɚɧɧɵɦɢ ɍɄȼ ɥɢɧɢɢ ɩɟɪɟɞɚɱɢ ɞɚɧɧɵɯ (ɅɉȾ) ɪɟɠɢɦɚ 4 (ɪɢɫ. 1). ɉɟɪɫɩɟɤɬɢɜɧɵɦ
ɜɚɪɢɚɧɬɨɦ ɪɟɚɥɢɡɚɰɢɢ ɞɢɮɮɟɪɟɧɰɢɚɥɶɧɨɝɨ ɪɟɠɢɦɚ ɹɜɥɹɟɬɫɹ ɢɫɩɨɥɶɡɨɜɚɧɢɟ ɩɫɟɜɞɨɫɩɭɬɧɢɤɚ
(ɉɋ). ɇɚɥɢɱɢɟ ɉɋ ɩɨɡɜɨɥɹɟɬ ɭɦɟɧɶɲɢɬɶ ɡɧɚɱɟɧɢɟ ɝɟɨɦɟɬɪɢɱɟɫɤɨɝɨ ɮɚɤɬɨɪɚ, ɜ ɜɟɪɬɢɤɚɥɶɧɨɣ ɢ
ɝɨɪɢɡɨɧɬɚɥɶɧɨɣ ɩɥɨɫɤɨɫɬɢ, ɡɚ ɫɱɟɬ ɩɨɹɜɥɟɧɢɹ ɜ ɡɨɧɟ ɪɚɞɢɨɨɛɡɨɪɚ ɜɨɡɞɭɲɧɨɝɨ ɫɭɞɧɚ ɞɨɩɨɥɧɢɬɟɥɶɧɨɣ ɪɚɞɢɨɧɚɜɢɝɚɰɢɨɧɧɨɣ ɬɨɱɤɢ, ɪɚɫɩɨɥɨɠɟɧɧɨɣ ɜ ɧɢɠɧɟɣ ɩɨɥɭɫɮɟɪɟ, ɱɬɨ ɫɭɳɟɫɬɜɟɧɧɨ
ɭɦɟɧɶɲɚɟɬ ɩɨɝɪɟɲɧɨɫɬɶ ɨɩɪɟɞɟɥɟɧɢɹ ɦɟɫɬɨɩɨɥɨɠɟɧɢɹ.
ɉɪɢ ɪɟɚɥɢɡɚɰɢɢ ɞɢɮɮɟɪɟɧɰɢɚɥɶɧɨɣ ɫɢɫɬɟɦɵ ɫ ɢɫɩɨɥɶɡɨɜɚɧɢɟɦ ɉɋ ɜɨɡɧɢɤɚɟɬ ɪɹɞ ɩɪɨɛɥɟɦ, ɤɨɬɨɪɵɟ ɧɭɠɧɨ ɩɪɟɨɞɨɥɟɜɚɬɶ, ɱɬɨɛɵ ɨɛɟɫɩɟɱɢɜɚɬɶ ɜɵɫɨɤɭɸ ɬɨɱɧɨɫɬɶ ɩɨɡɢɰɢɨɧɢɪɨɜɚɧɢɹ.
ɂɡɥɭɱɚɟɦɵɟ ɢɫɬɨɱɧɢɤɨɦ ɧɚɜɢɝɚɰɢɨɧɧɨɝɨ ɫɢɝɧɚɥɚ ɉɋ ɫɢɝɧɚɥɵ ɦɨɝɭɬ ɫɨɡɞɚɜɚɬɶ ɩɨɦɟɯɭ ɞɥɹ
ɧɚɜɢɝɚɰɢɨɧɧɨɣ ɚɩɩɚɪɚɬɭɪɵ ȽɅɈɇȺɋɋ/GPS ɜɨɡɞɭɲɧɨɝɨ ɫɭɞɧɚ (ȼɋ), ɫɨɜɟɪɲɚɸɳɟɝɨ ɡɚɯɨɞ ɧɚ
ɜɡɥɟɬɧɨ-ɩɨɫɚɞɨɱɧɭɸ ɩɨɥɨɫɭ [3, 4]. Ⱦɚɧɧɚɹ ɩɪɨɛɥɟɦɚ ɢɡɜɟɫɬɧɚ ɤɚɤ ɩɪɨɹɜɥɟɧɢɟ ɷɮɮɟɤɬɚ «ɛɥɢɠɧɢɣ-ɞɚɥɶɧɢɣ» (ɜ ɡɚɪɭɛɟɠɧɨɣ ɥɢɬɟɪɚɬɭɪɟ «Near-Far»), ɤɨɬɨɪɚɹ ɩɪɨɢɫɯɨɞɢɬ ɢɡ-ɡɚ ɢɡɦɟɧɟɧɢɹ
ɦɨɳɧɨɫɬɢ ɩɪɢɧɢɦɚɟɦɨɝɨ ɫɢɝɧɚɥɚ ɉɋ [5, 6].
ɉɪɢ ɩɨɡɢɰɢɨɧɢɪɨɜɚɧɢɢ ɬɨɥɶɤɨ ɩɨ ɫɢɝɧɚɥɚɦ ɧɚɜɢɝɚɰɢɨɧɧɵɯ ɫɩɭɬɧɢɤɨɜ (ɇɋ) ɷɬɨɬ ɷɮɮɟɤɬ
ɧɟ ɩɪɨɹɜɥɹɟɬɫɹ, ɬɚɤ ɤɚɤ ɦɨɳɧɨɫɬɶ ɩɪɢɧɢɦɚɟɦɵɯ ɫɢɝɧɚɥɨɜ ɨɫɬɚɟɬɫɹ ɩɨɱɬɢ ɩɨɫɬɨɹɧɧɨɣ, ɩɨɫɤɨɥɶɤɭ ɪɚɫɫɬɨɹɧɢɟ «ɫɩɭɬɧɢɤ-ɩɪɢɟɦɧɢɤ» ɢɡɦɟɧɹɟɬɫɹ ɧɟɡɧɚɱɢɬɟɥɶɧɨ. ɋɥɟɞɨɜɚɬɟɥɶɧɨ, ɩɪɢ ɨɛɴɟɞɢɧɟɧɢɢ ɇɋ ɫ ɉɋ ɛɨɥɟɟ ɫɢɥɶɧɵɣ ɫɢɝɧɚɥ ɨɬ ɉɋ ɦɨɠɟɬ ɡɚɝɥɭɲɢɬɶ ɞɪɭɝɢɟ ɫɢɝɧɚɥɵ ɫɩɭɬɧɢɤɨɜ – ɷɬɨ
ɩɪɨɛɥɟɦɚ «ɛɥɢɠɧɟɝɨ» ɫɢɝɧɚɥɚ. Ɉɞɧɚɤɨ ɟɫɥɢ ɫɢɝɧɚɥ ɨɬ ɉɋ ɧɚɦɧɨɝɨ ɫɥɚɛɟɟ ɫɢɝɧɚɥɚ ɇɋ, ɬɨ ɩɪɢɟɦɧɢɤ ɦɨɠɟɬ ɧɟ ɨɬɫɥɟɞɢɬɶ ɟɝɨ – ɷɬɨ ɩɪɨɛɥɟɦɚ «ɞɚɥɶɧɟɝɨ» ɫɢɝɧɚɥɚ, ɡɨɧɵ ɩɪɨɹɜɥɟɧɢɹ ɷɮɮɟɤɬɚ
ɩɨɤɚɡɚɧɵ ɧɚ ɪɢɫ. 1.
54
Ɍɨɦ 19, ʋ 04, 2016
Vol. 19, ʋ 04, 2016
ɇɚɭɱɧɵɣ ȼɟɫɬɧɢɤ ɆȽɌɍ ȽȺ
ɋivil Avition High TECHNOLOGIES
Ɋɢɫ 1. ɋɬɪɭɤɬɭɪɚ ɞɢɮɮɟɪɟɧɰɢɚɥɶɧɨɣ ɩɨɞɫɢɫɬɟɦɵ ɢ ɡɨɧɵ ɩɪɨɹɜɥɟɧɢɹ ɷɮɮɟɤɬɚ «ɛɥɢɠɧɢɣ-ɞɚɥɶɧɢɣ»
ȼɨɡɦɨɠɧɵɟ ɩɭɬɢ ɪɟɲɟɧɢɹ ɞɚɧɧɨɣ ɩɪɨɛɥɟɦɵ: 1) ɭɜɟɥɢɱɟɧɢɟ ɞɢɧɚɦɢɱɟɫɤɨɝɨ ɞɢɚɩɚɡɨɧɚ
ɩɪɢɟɦɧɢɤɚ – ɢɫɩɨɥɶɡɨɜɚɧɢɟ ɛɨɥɟɟ ɜɵɫɨɤɨɝɨ ɪɚɡɪɟɲɟɧɢɹ ɚɧɚɥɨɝɨ-ɰɢɮɪɨɜɨɝɨ ɩɪɟɨɛɪɚɡɨɜɚɬɟɥɹ
(Ⱥɐɉ); 2) ɪɟɚɥɢɡɚɰɢɹ ɩɪɢɧɰɢɩɚ ɦɧɨɠɟɫɬɜɟɧɧɨɝɨ ɞɨɫɬɭɩɚ ɫ ɜɪɟɦɟɧɧɵɦ ɪɚɡɞɟɥɟɧɢɟɦ ɤɚɧɚɥɨɜ
(TDMA ɫ ɜɪɟɦɟɧɧɵɦ ɪɚɡɞɟɥɟɧɢɟɦ ɦɧɨɠɟɫɬɜɟɧɧɨɝɨ ɞɨɫɬɭɩɚ); 3) ɞɢɧɚɦɢɱɟɫɤɨɟ ɭɩɪɚɜɥɟɧɢɟ
ɦɨɳɧɨɫɬɶɸ ɉɋ. ȼ ɪɚɛɨɬɚɯ [3, 4] ɩɪɟɞɥɚɝɚɟɬɫɹ ɢɫɩɨɥɶɡɨɜɚɧɢɟ ɧɚ ɛɨɪɬɭ ȼɋ ɞɨɩɨɥɧɢɬɟɥɶɧɨɣ ɚɧɬɟɧɧɵ, ɪɚɫɩɨɥɚɝɚɟɦɨɣ ɜ ɧɢɠɧɟɣ ɱɚɫɬɢ ɮɸɡɟɥɹɠɚ. ȼ ɱɚɫɬɧɨɫɬɢ, ɩɪɟɞɥɨɠɟɧɵ ɫɩɨɫɨɛ ɭɦɟɧɶɲɟɧɢɹ
ɜɨɡɞɟɣɫɬɜɢɹ ɷɮɮɟɤɬɚ «ɛɥɢɠɧɢɣ-ɞɚɥɶɧɢɣ» ɩɭɬɟɦ ɩɟɪɟɞɚɱɢ ɫɢɝɧɚɥɚ ɉɋ ɤɨɪɨɬɤɢɦɢ ɢɦɩɭɥɶɫɚɦɢ ɫ
ɧɢɡɤɢɦ ɪɚɛɨɱɢɦ ɰɢɤɥɨɦ (ɤɨɷɮɮɢɰɢɟɧɬɨɦ ɡɚɩɨɥɧɟɧɢɹ) [5] ɢ ɩɨɲɚɝɨɜɵɣ ɫɩɨɫɨɛ ɫɧɢɠɟɧɢɹ ɦɨɳɧɨɫɬɢ ɩɟɪɟɞɚɱɢ ɉɋ [6]. Ɋɟɲɟɧɢɟ ɡɚɞɚɱɢ ɭɩɪɚɜɥɟɧɢɹ ɦɨɳɧɨɫɬɶɸ ɉɋ ɜ ɪɚɛɨɬɟ ɨɫɧɨɜɚɧɨ ɧɚ ɨɰɟɧɤɟ ɜɪɟɦɟɧɢ ɡɚɞɟɪɠɤɢ ɫɢɝɧɚɥɚ ɜ ɍɄȼ ɅɉȾ ɪɟɠɢɦɚ 4.
ɗɄɋɉȿɊɂɆȿɇɌȺɅɖɇɕȿ ɂɋɋɅȿȾɈȼȺɇɂə
ɗɮɮɟɤɬ «ɛɥɢɠɧɢɣ-ɞɚɥɶɧɢɣ» ɩɪɨɹɜɥɹɟɬɫɹ ɜ ɬɨɦ, ɱɬɨ ɩɪɢɟɦɧɢɤ ɡɚɯɜɚɬɵɜɚɟɬ ɨɬɧɨɫɢɬɟɥɶɧɨ
ɦɨɳɧɵɣ ɫɢɝɧɚɥ, ɢ ɬɟɦ ɫɚɦɵɦ ɞɟɥɚɟɬ ɧɟɜɨɡɦɨɠɧɵɦ ɨɛɧɚɪɭɠɟɧɢɟ ɢ ɩɪɢɟɦ ɛɨɥɟɟ ɫɥɚɛɵɯ ɫɢɝɧɚɥɨɜ. ɉɪɨɛɥɟɦɚ ɡɚɤɥɸɱɚɟɬɫɹ ɜ ɨɝɪɚɧɢɱɟɧɧɨɦ ɞɢɧɚɦɢɱɟɫɤɨɦ ɞɢɚɩɚɡɨɧɟ ɩɪɢɟɦɧɢɤɚ, ɱɬɨ ɫɧɢɠɚɟɬ
ɫɩɨɫɨɛɧɨɫɬɶ ɩɨ ɨɛɧɚɪɭɠɟɧɢɸ ɫɥɚɛɨɝɨ ɫɢɝɧɚɥɚ ɜ ɩɪɢɫɭɬɫɬɜɢɢ ɛɨɥɟɟ ɦɨɳɧɨɝɨ. Ⱦɚɧɧɚɹ ɩɪɨɛɥɟɦɚ
ɨɬɧɨɫɢɬɫɹ ɤ ɩɪɢɟɦɧɢɤɚɦ, ɜ ɤɨɬɨɪɵɯ ɪɚɡɪɟɲɟɧɢɟ ɚɧɚɥɨɝɨ-ɰɢɮɪɨɜɨɝɨ ɩɪɟɨɛɪɚɡɨɜɚɬɟɥɹ (Ⱥɐɉ)
ɨɝɪɚɧɢɱɢɜɚɟɬ ɞɢɚɩɚɡɨɧ ɨɛɧɚɪɭɠɢɜɚɟɦɵɯ ɫɢɝɧɚɥɨɜ. ɋɨɝɥɚɫɧɨ ɥɨɝɢɤɟ ɪɚɛɨɬɵ ɜ ɫɢɫɬɟɦɟ ɚɜɬɨɦɚɬɢɱɟɫɤɨɣ ɪɟɝɭɥɢɪɨɜɤɢ ɭɫɢɥɟɧɢɹ (ȺɊɍ) ɩɪɢɟɦɧɢɤɚ ɫ ɩɪɢɯɨɞɨɦ ɦɨɳɧɨɝɨ ɫɢɝɧɚɥɚ ɭɦɟɧɶɲɚɟɬɫɹ
ɤɨɷɮɮɢɰɢɟɧɬ ɭɫɢɥɟɧɢɹ, ɱɬɨɛɵ ɩɪɟɞɨɬɜɪɚɬɢɬɶ ɧɚɫɵɳɟɧɢɟ Ⱥɐɉ, ɤɨɬɨɪɵɣ ɜɵɡɵɜɚɟɬ ɫɥɚɛɵɣ ɫɢɝɧɚɥ, ɱɬɨɛɵ ɩɨɩɚɫɬɶ ɜ ɞɢɧɚɦɢɱɟɫɤɢɣ ɞɢɚɩɚɡɨɧ Ⱥɐɉ. ɗɬɨ ɹɜɥɟɧɢɟ ɨɬɥɢɱɚɟɬɫɹ ɨɬ ɢɧɬɟɪɮɟɪɟɧɰɢɢ
ɫɢɝɧɚɥɨɜ, ɩɨɬɨɦɭ ɱɬɨ ɟɫɥɢ ɛɵ Ⱥɐɉ ɨɛɥɚɞɚɥ ɞɨɫɬɚɬɨɱɧɵɦ ɪɚɡɪɟɲɟɧɢɟɦ, ɬɨ ɦɨɠɧɨ ɛɵɥɨ ɛɵ ɜɨɫɫɬɚɧɨɜɢɬɶ ɨɛɚ ɫɢɝɧɚɥɚ. Ɍɚɤɢɦ ɨɛɪɚɡɨɦ, ɞɢɧɚɦɢɱɟɫɤɢɣ ɞɢɚɩɚɡɨɧ ɫɢɫɬɟɦɵ ɨɝɪɚɧɢɱɟɧ ɜ ɞɢɧɚɦɢɱɟɫɤɨɦ ɞɢɚɩɚɡɨɧɟ ɩɪɢɟɦɧɢɤɚ Ⱥɐɉ. ȼ ɫɨɜɪɟɦɟɧɧɵɯ ɩɪɢɟɦɧɢɤɚɯ ɫɩɭɬɧɢɤɨɜɨɣ ɧɚɜɢɝɚɰɢɢ (ɉɋɇ)
ɢɫɩɨɥɶɡɭɸɬɫɹ 2-ɪɚɡɪɹɞɧɵɟ Ⱥɐɉ.
Ɋɟɡɭɥɶɬɚɬɵ ɷɤɫɩɟɪɢɦɟɧɬɚɥɶɧɵɯ ɢɫɫɥɟɞɨɜɚɧɢɣ ɩɨɦɟɯɨɭɫɬɨɣɱɢɜɨɫɬɢ ɚɩɩɚɪɚɬɭɪɵ ɩɨɬɪɟɛɢɬɟɥɟɣ ɫɩɭɬɧɢɤɨɜɵɯ ɪɚɞɢɨɧɚɜɢɝɚɰɢɨɧɧɵɯ ɫɢɫɬɟɦ ɩɪɟɞɫɬɚɜɥɟɧɵ ɜ ɪɚɛɨɬɚɯ [7, 8]. ɂɫɫɥɟɞɨɜɚɧɢɟ
ɩɨɦɟɯɨɭɫɬɨɣɱɢɜɨɫɬɢ ɉɋɇ ɩɪɨɜɨɞɢɥɨɫɶ ɩɭɬɟɦ ɩɨɥɭɧɚɬɭɪɧɨɝɨ ɦɨɞɟɥɢɪɨɜɚɧɢɹ ɫ ɢɫɩɨɥɶɡɨɜɚɧɢɟɦ
ɩɪɨɝɪɚɦɦɧɨ-ɚɩɩɚɪɚɬɧɵɯ ɫɪɟɞɫɬɜ ɧɚ ɛɚɡɟ ɩɥɚɬɮɨɪɦɵ NI (ɝɟɧɟɪɚɬɨɪ ɪɚɞɢɨɱɚɫɬɨɬɧɵɯ ɫɢɝɧɚɥɨɜ
ɬɢɩɚ NI PXI-5610/5442, ɫɪɟɞɚ Labview, ɭɫɬɚɧɨɜɥɟɧɧɚɹ ɧɚ ɤɨɧɬɪɨɥɥɟɪ NI PXI-8130, ɢɧɫɬɪɭɦɟɧ55
ɇɚɭɱɧɵɣ ȼɟɫɬɧɢɤ ɆȽɌɍ ȽȺ
ɋivil Avition High TECHNOLOGIES
Ɍɨɦ 19, ʋ 04, 2016
Vol. 19, ʋ 04, 2016
ɬɚɪɢɣ NI GPS Simulation Toolkit ɜɟɪɫɢɢ 4.2) [9]. ȼ ɤɚɱɟɫɬɜɟ ɢɫɫɥɟɞɭɟɦɨɣ ɧɚɜɢɝɚɰɢɨɧɧɨɣ ɚɩɩɚɪɚɬɭɪɵ ɩɨɬɪɟɛɢɬɟɥɟɣ ɢɫɩɨɥɶɡɨɜɚɥɢɫɶ ɧɚɜɢɝɚɰɢɨɧɧɵɣ ȽɅɈɇȺɋɋ/GPS ɩɪɢɟɦɧɢɤ «Ƚɟɨɋ-1» ɢ ɛɨɪɬɨɜɨɟ ɨɛɨɪɭɞɨɜɚɧɢɟ ɫɩɭɬɧɢɤɨɜɨɣ ɧɚɜɢɝɚɰɢɢ NAVIS_CH-4312. ɋɬɪɭɤɬɭɪɧɚɹ ɫɯɟɦɚ ɷɤɫɩɟɪɢɦɟɧɬɚɥɶɧɨɣ ɭɫɬɚɧɨɜɤɢ ɩɪɟɞɫɬɚɜɥɟɧɚ ɧɚ ɪɢɫ. 2.
Ɋɢɫ 2. ɋɬɪɭɤɬɭɪɚ ɷɤɫɩɟɪɢɦɟɧɬɚɥɶɧɨɣ ɭɫɬɚɧɨɜɤɢ
ɍɫɥɨɜɢɹ ɩɪɨɜɟɞɟɧɢɹ ɩɨɥɭɧɚɬɭɪɧɵɯ ɢɫɩɵɬɚɧɢɣ: ɉɋɇ ɢɫɩɨɥɶɡɨɜɚɥɢ ɞɥɹ ɪɟɲɟɧɢɹ ɧɚɜɢɝɚɰɢɨɧɧɨɣ ɡɚɞɚɱɢ ɱɚɫɬɨɬɧɵɣ ɞɢɚɩɚɡɨɧ L1, ɤɨɞ ɋɌ, ɩɟɪɢɨɞ ɧɚɤɨɩɥɟɧɢɹ T = 1 ɫ. ɂɫɩɵɬɚɧɢɹ ɩɪɨɜɨɞɢɥɢɫɶ ɨɞɧɨɜɪɟɦɟɧɧɨ ɞɥɹ ɜɫɟɯ ɬɢɩɨɜ ɢɫɩɵɬɭɟɦɨɣ ɚɩɩɚɪɚɬɭɪɵ ɩɪɢ ɧɚɥɢɱɢɢ ɜ ɡɨɧɟ ɜɢɞɢɦɨɫɬɢ ɧɟ ɦɟɧɟɟ ɱɟɬɵɪɟɯ ɇɋ ȽɅɈɇȺɋɋ ɢ GPS. ɋ ɩɨɦɨɳɶɸ ɝɟɧɟɪɚɬɨɪɚ ɪɚɞɢɨɱɚɫɬɨɬɧɵɯ ɫɢɝɧɚɥɨɜ ɬɢɩɚ
NI PXI-5610/5442 ɢɦɢɬɢɪɨɜɚɥɫɹ ɫɢɝɧɚɥ ɉɋ GPS. ɍɪɨɜɟɧɶ ɫɢɝɧɚɥɚ ɮɢɤɫɢɪɨɜɚɥɫɹ ɜ ɬɨɱɤɟ ɪɚɡɦɟɳɟɧɢɹ ɚɧɬɟɧɧɵɯ ɫɢɫɬɟɦ ɫ ɢɫɩɨɥɶɡɨɜɚɧɢɟɦ ɜɫɬɪɨɟɧɧɨɝɨ ɚɥɝɨɪɢɬɦɢɱɟɫɤɨɝɨ ɨɛɟɫɩɟɱɟɧɢɹ ɉɋɇ ɞɥɹ
ɪɚɫɱɟɬɚ ɨɬɧɨɲɟɧɢɹ ɫɢɝɧɚɥ/ɲɭɦ ɧɚ ɜɯɨɞɟ ɢ ɩɨ ɞɚɧɧɵɦ ɢɧɬɟɪɮɟɣɫɚ ɝɟɧɟɪɚɬɨɪɚ NI PXI-5610/5442.
Ⱦɢɧɚɦɢɱɟɫɤɨɟ ɪɟɝɭɥɢɪɨɜɚɧɢɟ ɦɨɳɧɨɫɬɢ ɫɢɝɧɚɥɚ ɩɨɡɜɨɥɹɥɨ ɡɚɞɚɜɚɬɶ ɢɡɦɟɧɟɧɢɟ ɞɚɥɶɧɨɫɬɢ.
ȼ ɪɟɡɭɥɶɬɚɬɟ ɷɤɫɩɟɪɢɦɟɧɬɚɥɶɧɵɯ ɢɫɫɥɟɞɨɜɚɧɢɣ ɭɫɬɚɧɨɜɥɟɧɨ, ɱɬɨ ɩɨɪɨɝɨɜɵɦ ɡɧɚɱɟɧɢɟɦ
ɭɪɨɜɧɹ ɦɨɳɧɨɫɬɢ ɜɵɯɨɞɧɨɝɨ ɫɢɝɧɚɥɚ ɝɟɧɟɪɚɬɨɪɚ NI GPS, ɩɪɢ ɤɨɬɨɪɨɦ ɧɚɱɢɧɚɟɬɫɹ ɩɪɨɹɜɥɹɬɶɫɹ ɷɮɮɟɤɬ «ɛɥɢɠɧɢɣ-ɞɚɥɶɧɢɣ», ɹɜɥɹɟɬɫɹ ɡɧɚɱɟɧɢɟ –35 ɞȻȼɬ. ɉɪɢ ɬɚɤɨɦ ɭɪɨɜɧɟ ɦɨɳɧɨɫɬɢ «ɡɚɛɢɜɚɸɬɫɹ» ɤɨɪɪɟɥɹɰɢɨɧɧɵɟ ɩɪɢɟɦɧɢɤɢ ɧɚɜɢɝɚɰɢɨɧɧɨɣ ɚɩɩɚɪɚɬɭɪɵ ɩɨɬɪɟɛɢɬɟɥɟɣ
ȽɅɈɇȺɋɋ/GPS, ɬ. ɟ. ɜ ɤɚɧɚɥɚɯ ɉɋɇ ɩɨɹɜɥɹɟɬɫɹ ɢɧɮɨɪɦɚɰɢɹ ɨ ɫɥɟɠɟɧɢɢ ɡɚ ɫɢɝɧɚɥɚɦɢ ɇɋ GPS,
ɮɚɤɬɢɱɟɫɤɢ ɨɬɫɭɬɫɬɜɭɸɳɢɦɢ ɜ ɡɨɧɟ ɜɢɞɢɦɨɫɬɢ ɩɨɬɪɟɛɢɬɟɥɹ. ɉɪɢ ɡɧɚɱɟɧɢɢ ɭɪɨɜɧɹ ɦɨɳɧɨɫɬɢ
ɜɵɯɨɞɧɨɝɨ ɫɢɝɧɚɥɚ –20 ɞȻȼɬ ɧɚɛɥɸɞɚɟɬɫɹ ɩɪɨɩɚɞɚɧɢɟ ɫɢɝɧɚɥɨɜ ɨɬ ɇɋ GPS. ȼ ɨɛɨɢɯ ɫɥɭɱɚɹɯ
ɧɚɜɢɝɚɰɢɨɧɧɚɹ ɡɚɞɚɱɚ ɩɨ ɨɩɪɟɞɟɥɟɧɢɸ ɦɟɫɬɨɩɨɥɨɠɟɧɢɹ ɧɟ ɪɟɲɚɟɬɫɹ.
Ⱥɧɚɥɢɡ ɪɟɡɭɥɶɬɚɬɨɜ ɷɤɫɩɟɪɢɦɟɧɬɚɥɶɧɵɯ ɢɫɫɥɟɞɨɜɚɧɢɣ ɩɨɤɚɡɵɜɚɟɬ, ɱɬɨ ɫɭɳɟɫɬɜɭɸɳɢɟ
ɨɛɪɚɡɰɵ ɉɋɇ ȽɅɈɇȺɋɋ/GPS ɧɟ ɪɚɛɨɬɨɫɩɨɫɨɛɧɵ ɜ ɩɪɟɞɩɨɥɚɝɚɟɦɵɯ ɭɫɥɨɜɢɹɯ ɫɨɜɦɟɫɬɧɨɝɨ ɢɫɩɨɥɶɡɨɜɚɧɢɹ ɇɋ ɪɚɛɨɱɟɝɨ ɫɨɡɜɟɡɞɢɹ ɢ ɉɋ. ɂɡɥɭɱɚɟɦɵɟ ɉɋ ɫɢɝɧɚɥɵ ɩɨ ɫɭɳɟɫɬɜɭ ɹɜɥɹɸɬɫɹ ɩɨɦɟɯɨɣ ɞɥɹ ɧɚɜɢɝɚɰɢɨɧɧɨɣ ɚɩɩɚɪɚɬɭɪɵ ȽɅɈɇȺɋɋ/GPS. ȼ ɫɜɹɡɢ ɫ ɷɬɢɦ ɬɪɟɛɭɟɬɫɹ ɪɚɡɪɟɲɢɬɶ
ɩɪɨɛɥɟɦɭ ɨɛɟɫɩɟɱɟɧɢɹ ɧɨɪɦɚɥɶɧɨɝɨ ɮɭɧɤɰɢɨɧɢɪɨɜɚɧɢɹ ɧɚɜɢɝɚɰɢɨɧɧɵɯ ɩɪɢɟɦɧɢɤɨɜ, ɧɚɯɨɞɹɳɢɯɫɹ ɜ ɪɚɛɨɱɟɣ ɡɨɧɟ ɉɋ, ɨɞɧɨɜɪɟɦɟɧɧɨ ɩɪɢɧɢɦɚɸɳɢɯ ɫɢɝɧɚɥɵ ɇɋ ȽɅɈɇȺɋɋ/GPS ɢ ɩɟɪɟɞɚɬɱɢɤɚ ɉɋ.
ȼ ɪɚɛɨɬɚɯ [5, 6] ɩɨɤɚɡɚɧɨ, ɱɬɨ ɟɫɥɢ ɪɚɫɫɬɨɹɧɢɟ ɦɟɠɞɭ ɩɟɪɟɞɚɸɳɟɣ ɢ ɩɪɢɟɦɧɨɣ ɚɧɬɟɧɧɚɦɢ ɭɜɟɥɢɱɢɜɚɟɬɫɹ, ɬɨ ɦɨɳɧɨɫɬɶ ɪɚɞɢɨɫɢɝɧɚɥɚ ɷɤɫɩɨɧɟɧɰɢɚɥɶɧɨ ɫɧɢɠɚɟɬɫɹ ɩɨ ɥɨɝɚɪɢɮɦɢɱɟɫɤɨɦɭ ɡɚɤɨɧɭ. Ɇɨɳɧɨɫɬɶ ɩɪɢɧɢɦɚɟɦɨɝɨ ɫɢɝɧɚɥɚ ɜ ɞɟɰɢɛɟɥɚɯ ɦɨɠɟɬ ɛɵɬɶ ɩɪɟɞɫɬɚɜɥɟɧɚ ɤɚɤ
ɮɭɧɤɰɢɹ ɞɚɥɶɧɨɫɬɢ d :
PɉɊɆ (d ) = PɉɊȾ − 10γ log(
d
) + np ,
d0
(1)
ɝɞɟ PɉɊȾ – ɦɨɳɧɨɫɬɶ ɉɋ; d0 – ɤɚɥɢɛɪɨɜɨɱɧɨɟ ɡɧɚɱɟɧɢɟ ɞɚɥɶɧɨɫɬɢ, γ – ɤɨɷɮɮɢɰɢɟɧɬ ɩɨɬɟɪɶ
ɷɧɟɪɝɢɢ ɫɢɝɧɚɥɚ ɜ ɫɪɟɞɟ, n p – ɛɟɥɵɣ ɝɚɭɫɫɨɜɫɤɢɣ ɲɭɦ ɫ ɧɭɥɟɜɵɦ ɦɚɬɟɦɚɬɢɱɟɫɤɢɦ ɨɠɢɞɚɧɢɟɦ
ɢ ɢɡɜɟɫɬɧɨɣ ɞɢɫɩɟɪɫɢɟɣ.
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Vol. 19, ʋ 04, 2016
ɇɚɭɱɧɵɣ ȼɟɫɬɧɢɤ ɆȽɌɍ ȽȺ
ɋivil Avition High TECHNOLOGIES
ɂɁɆȿɊȿɇɂȿ ȼɊȿɆȿɇɂ ɁȺȾȿɊɀɄɂ ɋɂȽɇȺɅȺ ȼ ɍɄȼ ɅɉȾ ɊȿɀɂɆȺ 4
ɉɪɢ ɡɚɯɨɞɟ ɧɚ ɩɨɫɚɞɤɭ ȼɋ ɚɜɬɨɦɚɬɢɱɟɫɤɢ, ɩɨ ɥɢɧɢɢ ɩɟɪɟɞɚɱɢ ɞɚɧɧɵɯ, ɨɛɦɟɧɢɜɚɸɬɫɹ ɢɧɮɨɪɦɚɰɢɟɣ ɨ ɦɟɫɬɨɩɨɥɨɠɟɧɢɢ ɢ ɩɚɪɚɦɟɬɪɚɯ ɩɨɥɟɬɚ, ɩɨɥɭɱɟɧɧɨɣ ɨɬ ɛɨɪɬɨɜɵɯ
ɩɢɥɨɬɚɠɧɨ-ɧɚɜɢɝɚɰɢɨɧɧɵɯ ɫɢɫɬɟɦ (ɜ ɨɫɧɨɜɧɨɦ ɨɬ ɉɋɇ), ɚ ɬɚɤɠɟ ɬɪɚɧɫɥɢɪɭɸɬ ɷɬɢ ɞɚɧɧɵɟ ɜ
ɰɟɧɬɪ ɍȼȾ. ɉɨ ɩɪɢɧɰɢɩɭ ɨɛɦɟɧɚ ɫɨɨɛɳɟɧɢɹɦɢ ɍɄȼ ɅɉȾ ɪɟɠɢɦɚ 4 ɹɜɥɹɟɬɫɹ ɫɢɧɯɪɨɧɧɨɣ ɫɢɫɬɟɦɨɣ, ɜ ɤɨɬɨɪɨɣ ɤɚɠɞɵɣ ɨɛɴɟɤɬ ɢɡɥɭɱɚɟɬ ɫɜɨɢ ɫɢɝɧɚɥɵ ɜ ɨɩɪɟɞɟɥɟɧɧɵɟ, ɢɡɜɟɫɬɧɵɟ
ɡɚɪɚɧɟɟ ɜɫɟɦ ɨɛɴɟɤɬɚɦ ɦɨɦɟɧɬɵ ɜɪɟɦɟɧɢ. Ɍɚɤɚɹ ɨɪɝɚɧɢɡɚɰɢɹ ɪɚɛɨɬɵ ɩɨɡɜɨɥɹɟɬ ɥɸɛɨɦɭ ɢɡ
ɨɛɴɟɤɬɨɜ, ɡɚɮɢɤɫɢɪɨɜɚɜ ɫ ɜɵɫɨɤɨɣ ɬɨɱɧɨɫɬɶɸ, ɨɩɪɟɞɟɥɹɟɦɨɣ ɜ ɡɧɚɱɢɬɟɥɶɧɨɣ ɫɬɟɩɟɧɢ ɫɬɪɭɤɬɭɪɨɣ ɫɢɝɧɚɥɚ, ɦɨɦɟɧɬ ɩɪɢɯɨɞɚ ɫɨɨɛɳɟɧɢɹ, ɩɟɪɟɞɚɧɧɨɝɨ ɞɪɭɝɢɦ ɨɛɴɟɤɬɨɦ, ɢɡɦɟɪɢɬɶ ɡɚɞɟɪɠɤɭ ɪɚɫɩɪɨɫɬɪɚɧɟɧɢɹ ɫɢɝɧɚɥɚ. ɉɨɥɭɱɟɧɧɨɟ ɡɧɚɱɟɧɢɟ ɡɚɞɟɪɠɤɢ ɨɬɥɢɱɚɟɬɫɹ ɨɬ ɢɫɬɢɧɧɨɝɨ ɧɚ
ɜɟɥɢɱɢɧɭ, ɨɩɪɟɞɟɥɹɟɦɭɸ ɪɚɫɫɨɝɥɚɫɨɜɚɧɢɟɦ ɜɪɟɦɟɧɧɵɯ ɲɤɚɥ ɩɟɪɟɞɚɸɳɟɝɨ ɢ ɩɪɢɧɢɦɚɸɳɟɝɨ
ɨɛɴɟɤɬɨɜ.
Ⱦɥɹ ɢɡɦɟɪɟɧɢɹ ɞɚɥɶɧɨɫɬɟɣ ɦɟɠɞɭ ɨɛɴɟɤɬɚɦɢ ɩɪɢɦɟɧɹɟɬɫɹ ɛɟɡɡɚɩɪɨɫɧɵɣ ɜɪɟɦɟɧɧɨɣ ɦɟɬɨɞ. ɂɡɦɟɪɟɧɧɚɹ ɩɫɟɜɞɨɞɚɥɶɧɨɫɬɶ d ɦɟɠɞɭ ɨɛɴɟɤɬɚɦɢ ɫɟɬɢ ɨɩɪɟɞɟɥɹɟɬɫɹ ɩɨ ɜɪɟɦɟɧɧɨɣ ɡɚɞɟɪɠɤɟ ɦɨɦɟɧɬɚ τ i ɩɪɢɟɦɚ ɫɢɝɧɚɥɚ i-ɦ ɨɛɴɟɤɬɨɦ ɨɬɧɨɫɢɬɟɥɶɧɨ ɚɩɪɢɨɪɧɨ ɢɡɜɟɫɬɧɨɝɨ ɦɨɦɟɧɬɚ τ j ɢɡɥɭɱɟɧɢɹ ɷɬɨɝɨ ɫɢɝɧɚɥɚ j-ɦ ɨɛɴɟɤɬɨɦ:
d = c (τ i − τ j ) = cτ ,
(2)
ɝɞɟ ɫ – ɫɤɨɪɨɫɬɶ ɪɚɫɩɪɨɫɬɪɚɧɟɧɢɹ ɪɚɞɢɨɫɢɝɧɚɥɚ ɜɞɨɥɶ ɪɚɞɢɨɬɪɚɫɫɵ.
Ɍɚɤɢɦ ɨɛɪɚɡɨɦ, ɞɚɥɶɧɨɫɬɶ ɦɟɠɞɭ ɩɟɪɟɞɚɬɱɢɤɨɦ ɉɋ ɢ ɉɋɇ ɹɜɥɹɟɬɫɹ ɨɫɧɨɜɧɨɣ ɢɫɯɨɞɧɨɣ
ɢɧɮɨɪɦɚɰɢɟɣ ɞɥɹ ɪɟɚɥɢɡɚɰɢɢ ɫɩɨɫɨɛɚ ɭɩɪɚɜɥɟɧɢɹ ɦɨɳɧɨɫɬɶɸ. Ɂɧɚɱɟɧɢɟ ɞɚɥɶɧɨɫɬɢ ɦɨɠɧɨ
ɨɩɪɟɞɟɥɢɬɶ ɩɭɬɟɦ ɢɡɦɟɪɟɧɢɹ ɜɪɟɦɟɧɢ ɡɚɞɟɪɠɤɢ ɫɢɝɧɚɥɚ ɜ ɤɚɧɚɥɚɯ ɨɛɦɟɧɚ ɞɚɧɧɵɦɢ ɍɄȼ ɅɉȾ
ɪɟɠɢɦɚ 4.
ȺɅȽɈɊɂɌɆ ɈɉɌɂɆȺɅɖɇɈȽɈ ɍɉɊȺȼɅȿɇɂə ɆɈɓɇɈɋɌɖɘ
Ɋɚɫɫɦɨɬɪɢɦ ɡɚɞɚɱɭ ɨɩɬɢɦɚɥɶɧɨɝɨ ɭɩɪɚɜɥɟɧɢɹ ɦɨɳɧɨɫɬɶɸ ɜ ɩɨɫɬɚɧɨɜɤɟ, ɤɨɝɞɚ ɭ ɨɛɴɟɤɬɚ, ɩɨɞɜɟɪɠɟɧɧɨɝɨ ɞɟɣɫɬɜɢɸ ɫɥɭɱɚɣɧɵɯ ɜɨɡɦɭɳɟɧɢɣ, ɧɟɥɶɡɹ ɧɟɩɨɫɪɟɞɫɬɜɟɧɧɨ ɢɡɦɟɪɢɬɶ
ɫɨɫɬɨɹɧɢɟ, ɚ ɦɨɠɧɨ ɥɢɲɶ ɩɨɥɭɱɢɬɶ ɨɰɟɧɤɭ ɩɟɪɟɦɟɧɧɵɯ ɫɨɫɬɨɹɧɢɹ ɫ ɩɨɦɨɳɶɸ ɢɡɦɟɪɢɬɟɥɶɧɨɣ
ɫɢɫɬɟɦɵ, ɤɨɬɨɪɚɹ ɬɚɤɠɟ ɩɨɞɜɟɪɠɟɧɚ ɞɟɣɫɬɜɢɸ ɫɥɭɱɚɣɧɵɯ ɜɨɡɦɭɳɟɧɢɣ, ɩɪɢɜɨɞɹɳɢɦ ɤ ɨɲɢɛɤɚɦ
ɢɡɦɟɪɟɧɢɹ.
ɉɭɫɬɶ ɭɪɚɜɧɟɧɢɟ ɞɢɧɚɦɢɤɢ ɫɥɭɱɚɣɧɨɝɨ ɨɛɴɟɤɬɚ ɢ ɭɪɚɜɧɟɧɢɟ ɧɚɛɥɸɞɟɧɢɹ ɡɚɞɚɧɵ ɜ ɜɢɞɟ
λȞ = g Ȟ ( λȞ −1 ,uȞ ) + nȜȞ , ξν = sν (λν , uν ) + nν ,
(3)
ɝɞɟ nλν ɢ nν – ɞɢɫɤɪɟɬɧɵɟ ɛɟɥɵɟ ɝɚɭɫɫɨɜɫɤɢɟ ɲɭɦɵ ɫ ɤɨɪɪɟɥɹɰɢɨɧɧɵɦɢ ɦɚɬɪɢɰɚɦɢ Ψν ɢ Vν ,
ɫɨɨɬɜɟɬɫɬɜɟɧɧɨ. Ɍɪɟɛɭɟɬɫɹ ɨɩɪɟɞɟɥɢɬɶ ɡɚɤɨɧ ɭɩɪɚɜɥɟɧɢɹ uˆȞ = uȞ (ξ1Ȟ −1 ) , ɨɩɬɢɦɚɥɶɧɵɣ ɩɨ ɥɨɤɚɥɶɧɨɦɭ ɤɪɢɬɟɪɢɸ ɤɚɱɟɫɬɜɚ [10, 11]:
−1
uˆν = min { Jν } ,
uν
ɝɞɟ
{
}
J Ȟ = M cȞ ( λȞ ,uȞ ) = ³ ³ cȞ ( λȞ ,uȞ ( ξ1Ȟ −1 )) p( λȞ ,ξ1Ȟ −1 )dλν dξ1Ȟ −1 .
λξ
57
(4)
ɇɚɭɱɧɵɣ ȼɟɫɬɧɢɤ ɆȽɌɍ ȽȺ
ɋivil Avition High TECHNOLOGIES
Ɍɨɦ 19, ʋ 04, 2016
Vol. 19, ʋ 04, 2016
ȼ (4) ɭɫɪɟɞɧɟɧɢɟ ɮɭɧɤɰɢɣ ɫɬɨɢɦɨɫɬɢ ɩɪɨɢɡɜɨɞɢɬɫɹ ɩɨ ɩɥɨɬɧɨɫɬɹɦ ɜɟɪɨɹɬɧɨɫɬɟɣ ɜɫɟɯ
ɫɥɭɱɚɣɧɵɯ ɜɟɥɢɱɢɧ, ɚ ɜɫɟ ɭɩɪɚɜɥɟɧɢɹ û1ν −1 ɫɱɢɬɚɸɬɫɹ ɡɚɞɚɧɧɵɦɢ.
ɉɪɟɞɫɬɚɜɢɦ ɫɨɜɦɟɫɬɧɭɸ ɩɥɨɬɧɨɫɬɶ ɜɟɪɨɹɬɧɨɫɬɢ, ɜɯɨɞɹɳɭɸ ɜ ɦɢɧɢɦɢɡɢɪɭɟɦɵɣ ɮɭɧɤɰɢɨɧɚɥ ɜ ɜɢɞɟ ɩɪɨɢɡɜɟɞɟɧɢɹ
p( λȞ ,ξ1Ȟ−1 ) = p( λȞ | ξ1Ȟ −1 )p( ξ1Ȟ−1 ) .
Ɍɨɝɞɚ
ª
º
J Ȟ = ³ « ³ cȞ ( λȞ ,uȞ ( ξ1Ȟ −1 )) p( λȞ | ξ1Ȟ −1 )dλȞ » p( ξ1Ȟ −1 )dξ1Ȟ −1 .
ξ ¬λ
¼
Ɍɚɤ ɤɚɤ ɜɫɟɝɞɚ ɜɵɩɨɥɧɹɟɬɫɹ ɭɫɥɨɜɢɟ p( ξ1Ȟ −1 ) > 0 , ɬɨ ɦɢɧɢɦɢɡɚɰɢɹ ɩɨɤɚɡɚɬɟɥɹ ɤɚɱɟɫɬɜɚ
ɞɨɫɬɢɝɚɟɬɫɹ ɩɪɢ ɦɢɧɢɦɢɡɚɰɢɢ ɢɧɬɟɝɪɚɥɚ ɜ ɤɜɚɞɪɚɬɧɵɯ ɫɤɨɛɤɚɯ. Ɍɨ ɟɫɬɶ ɜɦɟɫɬɨ (4) ɩɨɥɭɱɚɟɦ
½
−1 ­
−1
uˆȞ = min ® ³ cȞ ( λȞ ,uȞ ( ξ1Ȟ −1 )) p( λȞ | ξ1Ȟ −1 )dλȞ ¾ = min M cȞ ( λȞ ,uȞ )
uȞ
uȞ
¯λ
¿
{
ξ1Ȟ−1
}.
Ⱦɥɹ ɨɩɪɟɞɟɥɟɧɢɹ ɩɥɨɬɧɨɫɬɢ ɜɟɪɨɹɬɧɨɫɬɢ, ɜɯɨɞɹɳɟɣ ɜ ɜɵɪɚɠɟɧɢɟ (4), ɢɫɩɨɥɶɡɭɸɬɫɹ
ɨɛɵɱɧɵɟ ɫɨɨɬɧɨɲɟɧɢɹ ɨɩɬɢɦɚɥɶɧɨɣ ɮɢɥɶɬɪɚɰɢɢ Ɋ.Ʌ. ɋɬɪɚɬɨɧɨɜɢɱɚ:
­ p( λȞ | ξ1Ȟ −1 ) = p Ȟ ( λȞ ) = p( λȞ | λȞ −1 , uȞ )p( λȞ −1 | ξ1Ȟ −1 )d λȞ −1 ,
³
°
λ
®
°¯ pȞ ( λȞ ) = cȞ p( ξȞ | λȞ )p Ȟ ( λȞ ).
(5)
ɋɨɜɨɤɭɩɧɨɫɬɶ ɭɪɚɜɧɟɧɢɣ (4)–(5) ɩɪɟɞɫɬɚɜɥɹɟɬ ɫɨɛɨɣ ɚɥɝɨɪɢɬɦ ɪɟɲɟɧɢɹ ɡɚɞɚɱɢ ɨɩɬɢɦɚɥɶɧɨɝɨ ɭɩɪɚɜɥɟɧɢɹ ɫɬɨɯɚɫɬɢɱɟɫɤɢɦɢ ɫɢɫɬɟɦɚɦɢ ɩɨ ɥɨɤɚɥɶɧɨɦɭ ɤɪɢɬɟɪɢɸ, ɩɪɢ ɷɬɨɦ ɨɫɧɨɜɧɨɣ
ɫɨɫɬɚɜɧɨɣ ɡɚɞɚɱɟɣ ɨɩɬɢɦɚɥɶɧɨɝɨ ɭɩɪɚɜɥɟɧɢɹ ɹɜɥɹɟɬɫɹ ɡɚɞɚɱɚ ɨɩɬɢɦɚɥɶɧɨɣ ɮɢɥɶɬɪɚɰɢɢ.
ɉɪɟɞɫɬɚɜɢɦ ɭɪɚɜɧɟɧɢɟ ɞɢɧɚɦɢɤɢ ɥɢɧɟɣɧɨɣ ɫɢɫɬɟɦɵ ɢ ɭɪɚɜɧɟɧɢɟ ɧɚɛɥɸɞɟɧɢɹ ɜ ɜɢɞɟ
λȞ = AȞ λȞ −1 + BȞ uȞ + nȜȞ , ξν = Hν λν + nν .
(6)
Ɏɭɧɤɰɢɹ ɩɨɬɟɪɶ, ɜɯɨɞɹɳɚɹ ɜ ɥɨɤɚɥɶɧɵɣ ɤɪɢɬɟɪɢɣ ɨɩɬɢɦɢɡɚɰɢɢ, ɢɦɟɟɬ ɜɢɞ
cν ( λν , uν ) = λνT Qν λν + uνT Kν uν ,
ɝɞɟ Ĭν ɢ Kν – ɧɟɨɬɪɢɰɚɬɟɥɶɧɨ ɨɩɪɟɞɟɥɟɧɧɵɟ ɜɟɫɨɜɵɟ ɦɚɬɪɢɰɵ ɲɬɪɚɮɨɜ. ɉɪɢɦɟɧɢɬɟɥɶɧɨ ɤ (3)
ɩɥɨɬɧɨɫɬɶ ɜɟɪɨɹɬɧɨɫɬɢ ɷɤɫɬɪɚɩɨɥɢɪɨɜɚɧɧɨɝɨ ɡɧɚɱɟɧɢɹ ɜɟɤɬɨɪɚ ɫɨɫɬɨɹɧɢɹ, ɜɯɨɞɹɳɚɹ ɜ ɜɵɪɚɠɟ-
{
}
Ȟ −1
ɧɢɟ (4), ɧɚ ɤɚɠɞɨɦ ɲɚɝɟ ɹɜɥɹɟɬɫɹ ɧɨɪɦɚɥɶɧɨɣ p(λȞ | ξ1 ) = N λȞ , RȞ . ɉɚɪɚɦɟɬɪɵ ɷɬɨɣ ɩɥɨɬɧɨɫɬɢ ɨɩɪɟɞɟɥɹɸɬɫɹ ɢɡ ɫɥɟɞɭɸɳɢɯ ɫɨɨɬɧɨɲɟɧɢɣ:
λˆȞ −1 = λȞ −1 + PȞ −1 ªξ Ȟ −1 − H Ȟ −1λȞ −1 º ,
¬
¼
λȞ = AȞ λˆȞ−1 + BȞuȞ , PȞ−1 = RȞ−1H ȞT−1VȞ−−11 .
58
(7)
Ɍɨɦ 19, ʋ 04, 2016
Vol. 19, ʋ 04, 2016
ɇɚɭɱɧɵɣ ȼɟɫɬɧɢɤ ɆȽɌɍ ȽȺ
ɋivil Avition High TECHNOLOGIES
RȞ = AȞ RȞ−1 AȞT + Ȍ Ȟ ,
RȞ−−11 = RȞ−−11 + H ȞT−1VȞ−−11H Ȟ−1 .
(8)
(9)
ɍɫɪɟɞɧɟɧɢɟ ɤɜɚɞɪɚɬɢɱɧɨɣ ɮɨɪɦɵ λ T Qλ ɫ ɩɥɨɬɧɨɫɬɶɸ ɜɟɪɨɹɬɧɨɫɬɢ p(λ ) = N {m , D} ɞɚɟɬ
M {λ T Qλ } = ³ λ T Qλ ⋅ p( λ )d λ = mT Qm + tr {QD} .
λ
{
}
~
Ɍɚɤ ɤɚɤ tr QȞ RȞ = const (u Ȟ ) ɧɟ ɡɚɜɢɫɢɬ ɨɬ ɭɩɪɚɜɥɟɧɢɹ,
∂J Ȟ
= 2 BȞT QȞ ( AȞ λˆȞ −1 + BȞ uȞ ) + 2 K Ȟ uȞ = 0 .
∂uȞ
Ɉɬɫɸɞɚ
uˆȞ = − LȞ λˆȞ −1 ,
−1
(10)
LȞ = ( B QȞ BȞ + K Ȟ ) B QȞ AȞ .
T
Ȟ
T
Ȟ
ɋɨɨɬɧɨɲɟɧɢɹ (6)–(10) ɞɚɸɬ ɚɥɝɨɪɢɬɦ ɨɩɬɢɦɚɥɶɧɨɝɨ ɭɩɪɚɜɥɟɧɢɹ ɥɢɧɟɣɧɨɣ ɫɬɨɯɚɫɬɢɱɟɫɤɨɣ ɫɢɫɬɟɦɨɣ ɫ ɥɨɤɚɥɶɧɵɦ ɤɜɚɞɪɚɬɢɱɧɵɦ ɤɪɢɬɟɪɢɟɦ ɤɚɱɟɫɬɜɚ [10, 11].
ɂɫɫɥɟɞɨɜɚɧɢɟ ɯɚɪɚɤɬɟɪɢɫɬɢɤ ɩɪɟɞɥɨɠɟɧɧɨɝɨ ɚɥɝɨɪɢɬɦɚ ɩɪɨɜɨɞɢɥɨɫɶ ɦɟɬɨɞɚɦɢ ɢɦɢɬɚɰɢɨɧɧɨɝɨ ɦɨɞɟɥɢɪɨɜɚɧɢɹ. ȼ ɯɨɞɟ ɦɨɞɟɥɢɪɨɜɚɧɢɹ ɩɪɟɞɩɨɥɚɝɚɥɨɫɶ, ɱɬɨ ɬɪɚɧɫɩɨɧɞɟɪɵ ɜɫɟɯ ɨɛɴɟɤɬɨɜ
ɫɢɫɬɟɦɵ ɧɚɫɬɪɨɟɧɵ ɧɚ ɨɞɧɭ ɱɚɫɬɨɬɭ, ɬ. ɟ. ȼɋ ɢ ɛɚɡɨɜɭɸ ɫɬɚɧɰɢɸ ɰɟɧɬɪɚ ɍȼȾ, ɧɚɯɨɞɹɳɢɟɫɹ ɧɚ
ɪɚɫɫɬɨɹɧɢɢ ɩɪɹɦɨɣ ɜɢɞɢɦɨɫɬɢ, ɦɨɠɧɨ ɫɱɢɬɚɬɶ ɫɜɹɡɚɧɧɵɦɢ ɨɞɧɢɦ ɰɢɮɪɨɜɵɦ ɪɚɞɢɨɤɚɧɚɥɨɦ. Ȼɚɡɨɜɚɹ ɫɬɚɧɰɢɹ, ɡɚɮɢɤɫɢɪɨɜɚɜ ɦɨɦɟɧɬ ɩɪɢɯɨɞɚ ɫɨɨɛɳɟɧɢɹ, ɢɡɦɟɪɹɟɬ ɡɚɞɟɪɠɤɭ ɪɚɫɩɪɨɫɬɪɚɧɟɧɢɹ
ɫɢɝɧɚɥɚ ɢ ɩɨɥɭɱɚɟɬ ɤɨɨɪɞɢɧɚɬɧɭɸ ɢɧɮɨɪɦɚɰɢɸ ȼɋ, ɜɵɩɨɥɧɹɸɳɟɝɨ ɡɚɯɨɞ ɧɚ ɩɨɫɚɞɤɭ.
ɚ
ɛ
Ɋɢɫ. 3. ȼɵɯɨɞɧɵɟ ɞɚɧɧɵɟ ɚɥɝɨɪɢɬɦɨɜ ɨɰɟɧɢɜɚɧɢɹ ɢ ɭɩɪɚɜɥɟɧɢɹ:
ɚ – ɞɜɭɦɟɪɧɚɹ ɩɥɨɬɧɨɫɬɶ ɜɟɪɨɹɬɧɨɫɬɢ ɨɰɟɧɢɜɚɟɦɵɯ ɩɚɪɚɦɟɬɪɨɜ;
ɛ – ɡɚɜɢɫɢɦɨɫɬɶ ɭɩɪɚɜɥɹɟɦɨɣ ɦɨɳɧɨɫɬɢ ɩɫɟɜɞɨɫɩɭɬɧɢɤɚ ɨɬ ɞɚɥɶɧɨɫɬɢ
ɁȺɄɅɘɑȿɇɂȿ
Ɋɟɡɭɥɶɬɚɬɵ ɷɤɫɩɟɪɢɦɟɧɬɚɥɶɧɵɯ ɢɫɫɥɟɞɨɜɚɧɢɣ ɩɨɤɚɡɵɜɚɸɬ, ɱɬɨ ɉɋɇ ȽɅɈɇȺɋɋ/GPS ɧɟɪɚɛɨɬɨɫɩɨɫɨɛɟɧ ɜ ɩɪɟɞɫɤɚɡɭɟɦɵɯ ɭɫɥɨɜɢɹɯ ɫɨɜɦɟɫɬɧɨɝɨ ɩɪɢɟɦɚ ɫɢɝɧɚɥɨɜ ɨɬ ɇɋ ɢ ɉɋ.
59
ɇɚɭɱɧɵɣ ȼɟɫɬɧɢɤ ɆȽɌɍ ȽȺ
ɋivil Avition High TECHNOLOGIES
Ɍɨɦ 19, ʋ 04, 2016
Vol. 19, ʋ 04, 2016
Ɉɩɬɢɦɚɥɶɧɨɟ ɭɩɪɚɜɥɟɧɢɟ ɦɨɳɧɨɫɬɶɸ ɉɋ ɫ ɢɫɩɨɥɶɡɨɜɚɧɢɟɦ ɍɄȼ ɅɉȾ ɪɟɠɢɦɚ 4 ɩɨɡɜɨɥɹɟɬ ɭɫɬɪɚɧɢɬɶ ɩɪɨɛɥɟɦɭ «ɛɥɢɠɧɢɣ-ɞɚɥɶɧɢɣ». ɋɢɧɬɟɡɢɪɨɜɚɧɧɵɣ ɚɥɝɨɪɢɬɦ ɩɨɡɜɨɥɹɟɬ ɢɡɦɟɪɹɬɶ
ɫ ɜɵɫɨɤɨɣ ɬɨɱɧɨɫɬɶɸ ɜɪɟɦɹ ɡɚɞɟɪɠɤɢ ɫɢɝɧɚɥɨɜ ɢ ɮɨɪɦɢɪɨɜɚɬɶ ɭɩɪɚɜɥɹɸɳɟɟ ɜɨɡɞɟɣɫɬɜɢɟ ɧɚ
ɢɡɦɟɧɟɧɢɟ ɦɨɳɧɨɫɬɢ ɉɋ. ɉɪɢ ɪɟɚɥɢɡɚɰɢɢ ɚɥɝɨɪɢɬɦɚ ɨɩɬɢɦɚɥɶɧɨɝɨ ɭɩɪɚɜɥɟɧɢɹ ɦɨɳɧɨɫɬɶ ɩɪɢɧɢɦɚɟɦɨɝɨ ɫɢɝɧɚɥɚ ɨɬ ɉɋ ɛɭɞɟɬ ɫɨɢɡɦɟɪɢɦɚ ɫ ɭɪɨɜɧɟɦ ɫɢɝɧɚɥɨɜ, ɩɪɢɧɢɦɚɟɦɵɯ ɨɬ ɇɋ
ȽɅɈɇȺɋɋ/GPS.
ɋɉɂɋɈɄ ɅɂɌȿɊȺɌɍɊɕ
1. Ʉɪɵɠɚɧɨɜɫɤɢɣ Ƚ.Ⱥ. Ʉɨɧɰɟɩɰɢɹ ɢ ɫɢɫɬɟɦɵ CNS/ATM ɜ ɝɪɚɠɞɚɧɫɤɨɣ ɚɜɢɚɰɢɢ. Ɇ.:
Ⱥɤɚɞɟɦɤɧɢɝɚ, 2003.
2. ȽɅɈɇȺɋɋ. ɉɪɢɧɰɢɩɵ ɩɨɫɬɪɨɟɧɢɹ ɢ ɮɭɧɤɰɢɨɧɢɪɨɜɚɧɢɹ / ɩɨɞ. ɪɟɞ. Ⱥ.ɂ. ɉɟɪɨɜɚ,
ȼ.ɇ. ɏɚɪɢɫɨɜɚ. ɂɡɞ. 4-ɟ, ɩɟɪɟɪɚɛ. ɢ ɞɨɩ. Ɇ.: Ɋɚɞɢɨɬɟɯɧɢɤɚ, 2010. 800 ɫ.
3. Ɂɭɟɜ Ⱦ.ȼ. Ȼɨɪɬɨɜɨɟ ɨɛɨɪɭɞɨɜɚɧɢɟ ɥɨɤɚɥɶɧɨɣ ɫɢɫɬɟɦɵ ɩɨɫɚɞɤɢ ɜɨɡɞɭɲɧɵɯ ɫɭɞɨɜ ɧɚ ɛɚɡɟ
ɩɫɟɜɞɨɫɩɭɬɧɢɤɨɜ // Ɇɨɥɨɞɟɠɶ ɢ ɧɚɭɤɚ: ɋɛɨɪɧɢɤ ɦɚɬɟɪɢɚɥɨɜ VII ȼɫɟɪɨɫɫɢɣɫɤɨɣ ɧɚɭɱɧɨ-ɬɟɯɧɢɱɟɫɤɨɣ
ɤɨɧɮɟɪɟɧɰɢɢ ɫɬɭɞɟɧɬɨɜ, ɚɫɩɢɪɚɧɬɨɜ ɢ ɦɨɥɨɞɵɯ ɭɱɟɧɵɯ, ɩɨɫɜɹɳɟɧɧɨɣ 50-ɥɟɬɢɸ ɩɟɪɜɨɝɨ ɩɨɥɟɬɚ ɱɟɥɨɜɟɤɚ ɜ ɤɨɫɦɨɫ. Ʉɪɚɫɧɨɹɪɫɤ: ɋɢɛɢɪɫɤɢɣ ɮɟɞɟɪɚɥɶɧɵɣ ɭɧ-ɬ, 2011.
4. ɂɫɩɨɥɶɡɨɜɚɧɢɟ ɩɫɟɜɞɨɫɩɭɬɧɢɤɨɜ ȽɅɈɇȺɋɋ/GPS ɜ ɫɢɫɬɟɦɚɯ ɩɨɫɚɞɤɢ ɜɨɡɞɭɲɧɵɯ ɫɭɞɨɜ / ȼ.Ⱥ. Ȼɨɪɫɨɟɜ, Ɋ.Ƚ. Ƚɚɥɟɟɜ, Ⱥ.ȼ. Ƚɪɟɛɟɧɧɢɤɨɜ, Ⱥ.ɋ. Ʉɨɧɞɪɚɬɶɟɜ // ɇɚɭɱɧɵɣ ɜɟɫɬɧɢɤ
ɆȽɌɍ ȽȺ. 2011. ʋ 164. ɋ. 17–24.
5. Naga Bhaskar Ch.V., Silva Lorraine K.J., Venkata Ratnam D. Analysis of Near-Far
Problem using Power Control Technique for GNSS based Applications / Research Inventy: International Journal Of Engineering And Science. Vol. 4. Issue 11 (November 2014). Pp. 01-08.
6. Silva Lorraine, Ajay Kumar D., Naga Bhaskar Ch.V., Rosili Sipora K. Analysis of NearFar Effect and Multipath Mitigation. Techniques for Pseudolite Based Positioning Applications. IJECT
Vol. 5, Issue Spl - 3, Jan – March 2014.
7. ȼɚɥɟɟɜ ȼ.Ƚ., Ʉɨɪɧɢɥɨɜ ɂ.ɇ., ɂɜɚɧɨɜ ȼ.ɗ. ɗɤɫɩɟɪɢɦɟɧɬɚɥɶɧɨɟ ɢɫɫɥɟɞɨɜɚɧɢɟ ɩɨɦɟɯɨɭɫɬɨɣɱɢɜɨɫɬɢ ɚɩɩɚɪɚɬɭɪɵ ɩɨɬɪɟɛɢɬɟɥɹ ɫɩɭɬɧɢɤɨɜɵɯ ɪɚɞɢɨɧɚɜɢɝɚɰɢɨɧɧɵɯ ɫɢɫɬɟɦ // Ɋɚɞɢɨɬɟɯɧɢɤɚ. 2011. ʋ 9.
8. Ɍɹɩɤɢɧ ȼ.ɇ., Ⱦɦɢɬɪɢɟɜ Ⱦ.Ⱦ., Ɇɨɲɤɢɧɚ Ɍ.Ƚ. ɉɨɬɟɧɰɢɚɥɶɧɚɹ ɩɨɦɟɯɨɭɫɬɨɣɱɢɜɨɫɬɶ
ɧɚɜɢɝɚɰɢɨɧɧɨɣ ɚɩɩɚɪɚɬɭɪɵ ɩɨɬɪɟɛɢɬɟɥɟɣ ɫɩɭɬɧɢɤɨɜɵɯ ɪɚɞɢɨɧɚɜɢɝɚɰɢɨɧɧɵɯ ɫɢɫɬɟɦ // ȼɟɫɬɧɢɤ
ɋɢɛɢɪɫɤɨɝɨ ɝɨɫɭɞɚɪɫɬɜɟɧɧɨɝɨ ɚɷɪɨɤɨɫɦɢɱɟɫɤɨɝɨ ɭɧɢɜɟɪɫɢɬɟɬɚ ɢɦɟɧɢ ɚɤɚɞɟɦɢɤɚ Ɇ.Ɏ. Ɋɟɲɟɬɧɟɜɚ. 2012.
9. ɋɤɪɵɩɧɢɤ Ɉ.ɇ., ɇɟɱɚɟɜ ȿ.ȿ., Ⱥɪɟɮɶɟɜ Ɋ.Ɉ. ɉɨɫɬɪɨɟɧɢɟ ɢ ɚɧɚɥɢɡ ɩɨɥɟɣ ɬɨɱɧɨɫɬɢ
GPS ɧɚ ɨɫɧɨɜɟ ɩɪɨɝɪɚɦɦɧɨ-ɚɩɩɚɪɚɬɧɵɯ ɫɪɟɞɫɬɜ NI GPS SIMULATION TOOLKIT // ɇɚɭɱɧɵɣ
ɜɟɫɬɧɢɤ ɆȽɌɍ ȽȺ. 2014. ʋ 209 (11). C. 5–12.
10. ɋɟɣɞɠ ɗ.ɉ., ɍɚɣɬ ɑ.ɋ. Ɉɩɬɢɦɚɥɶɧɨɟ ɭɩɪɚɜɥɟɧɢɟ ɫɢɫɬɟɦɚɦɢ. Ɇ.: Ɋɚɞɢɨ ɢ ɫɜɹɡɶ, 1982.
11. ɑɟɪɧɨɭɫɶɤɨ, Ɏ.Ʌ. Ɉɩɬɢɦɚɥɶɧɨɟ ɭɩɪɚɜɥɟɧɢɟ ɩɪɢ ɫɥɭɱɚɣɧɵɯ ɜɨɡɦɭɳɟɧɢɹɯ /
Ɏ.Ʌ. ɑɟɪɧɨɭɫɶɤɨ, ȼ.Ȼ. Ʉɨɥɦɚɧɨɜɫɤɢɣ. Ɇ.: ɇɚɭɤɚ, 1978.
POWER CONTROL OF PSEUDOLITES WHILE LANDING AN AIRCRAFT
Erokhin V.V.
The effect of a pseudolite (PL) signal on quality of functioning of the GLONASS/GPS receivers of satellite
navigation has been researched and experimental confirmation of near-far effect developing with the help of NI GPS
Simulation Toolkit hardware and software has been obtained. An algorithm of an optimal power control has
been obtained. PL based on the evaluation of the signal delay time in data transfer line has been synthesized. The
analysis of the simulation results showed that the implementation of the proposed optimal control algorithm allows
eliminating the effect “near-far” developing and ensuring simultaneous reception of signals of GLONASS/GPS satellite and PL.
Key words: pseudolite, optimal power control, delay time of the signal, VHF data line.
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Ɍɨɦ 19, ʋ 04, 2016
Vol. 19, ʋ 04, 2016
ɇɚɭɱɧɵɣ ȼɟɫɬɧɢɤ ɆȽɌɍ ȽȺ
ɋivil Avition High TECHNOLOGIES
REFERENCES
1. Kryzhanovsky G.A. The concept and CNS/ATM systems in civil aviation. M.: ICC Scientific journal, 2003. (In Russian)
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Ed. 4th, Revised. and ext. M.: Radio Engineering, 2010. 800 p. (In Russian)
3. Zuev D.V. Board equipment of the local aircraft landing system based pseudolites. Youth
and Science: Collection of VII All-Russian scientific and technical conference of students, graduate
students and young scientists devoted to the 50th anniversary of the first manned flight into space.
Krasnoyarsk: Siberian Federal University Press, 2011. (In Russian)
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GLONASS / GPS in aircraft landing systems. The MSTUCA Scientific Bulletin. 2011. No 164.
P. 17–24. (In Russian)
5. Naga Bhaskar Ch.V., Silva Lorraine K.J., Venkata Ratnam D. Analysis of Near-Far
Problem using Power Control Technique for GNSS based Applications. Research Inventy: International Journal Of Engineering And Science. Vol. 4. Issue 11 (November 2014). Pp. 01–08. (In Russian)
6. Silva Lorraine K.J., Ajay Kumar D., Naga Bhaskar Ch.V., Rosili Sipora K. Analysis of
Near-Far Effect and Multipath Mitigation. Techniques for Pseudolite Based Positioning Applications.
IJECT Vol. 5. IssuE Spl - 3, Jan – March 2014. (In Russian)
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equipment consumers of satellite radio navigation systems. Radio Engineering. 2011. ʋ 9.
(In Russian)
8. Tyapkin V.N., Dmitriev D.D., Moshkina T.G. Potential noise immunity navigation equipment for users of satellite navigation systems. Bulletin of the Siberian State Aerospace University
named after Academician MF Reshetnev. 2012. (In Russian)
9. Skrypnyk O.N., Nechayev E.E., Arefiev R.O. Design and Analysis of GPS accuracy fields
on the basis of hardware and software NI GPS SIMULATION TOOLKIT. The MSTUCA Scientific
Bulletin. 2014. No 209 (11). P. 5–12. (In Russian)
10. Sage E.P., White C.S. Optimum Systems Control. M.: Radio and Communications, 1982.
11. Chernous'ko, F.L. Optimal control with random perturbations. F.L. Chernous'ko,
V.B. Kolmanovskii. M.: Science-journal, 1978. (In Russian)
ɋȼȿȾȿɇɂə ɈȻ ȺȼɌɈɊȿ
ȿɪɨɯɢɧ ȼɹɱɟɫɥɚɜ ȼɥɚɞɢɦɢɪɨɜɢɱ, ɤɚɧɞɢɞɚɬ ɬɟɯɧɢɱɟɫɤɢɯ ɧɚɭɤ, ɞɨɰɟɧɬ, ɞɨɰɟɧɬ ɤɚɮɟɞɪɵ
ȺɊɗɈ ɂɎ ɆȽɌɍ ȽȺ, ɷɥɟɤɬɪɨɧɧɵɣ ɚɞɪɟɫ: ww-erohin@mail.ru.
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