【摘要】：現(xiàn)代化的衛(wèi)星導(dǎo)航信號(hào)要求在星上高功率放大器之前恒包絡(luò)復(fù)用同頻點(diǎn)甚至臨近的雙頻點(diǎn)/三頻點(diǎn)的多個(gè)導(dǎo)航信號(hào)分量。最優(yōu)相位恒包絡(luò)發(fā)射(POCET)技術(shù)能夠恒包絡(luò)復(fù)用任意路數(shù)信號(hào)且達(dá)到最高復(fù)用效率。已見諸報(bào)道的POCET最優(yōu)相位搜索的數(shù)值算法存在計(jì)算量大、收斂速度慢、當(dāng)?shù)c(diǎn)遠(yuǎn)離最優(yōu)解或要求提高計(jì)算精度時(shí)難以收斂到局部最優(yōu)解等問題。針對(duì)導(dǎo)航信號(hào)最優(yōu)恒包絡(luò)復(fù)用論證的需求,首先在優(yōu)化目標(biāo)函數(shù)中引入增廣拉格朗日乘子法以解決當(dāng)終止誤差減小無法收斂到局部最優(yōu)解的問題;其次對(duì)于搜索步長(zhǎng)的確定擯棄了已有的精確線搜索算法而采用基于Armijo準(zhǔn)則的非精確線搜索算法,并比較研究了最速下降法、共軛梯度法、擬牛頓法(包括BFGS法和對(duì)稱秩1法)等多種搜索方向優(yōu)化算法的優(yōu)缺點(diǎn)和適用性;最后通過對(duì)BDS B1頻點(diǎn)不同功率分配下的最優(yōu)相位搜索和合成損耗評(píng)估,驗(yàn)證了改進(jìn)后算法的精度高、計(jì)算量小、收斂性強(qiáng)等優(yōu)點(diǎn),為導(dǎo)航信號(hào)調(diào)制復(fù)用方案的設(shè)計(jì)和優(yōu)化提供參考。
[Abstract]:Modern satellite navigation signals require constant envelope multiplexing of multiple navigation signal components at the same frequency point or even adjacent dual-frequency / three-frequency points before the on-board high-power amplifier. Optimal phase constant envelope transmit (POCET) technique is capable of multiplexing any number of signals with constant envelope and achieving the highest multiplexing efficiency. The reported numerical algorithm for POCET optimal phase search has many problems, such as large computational complexity, slow convergence speed and difficulty in converging to local optimal solution when iteration points are far away from the optimal solution or when the computational accuracy is required to be improved. Aiming at the demand of optimal constant envelope multiplexing for navigation signal, an augmented Lagrangian multiplier method is introduced into the optimization objective function to solve the problem that when the termination error is reduced, it can not converge to the local optimal solution. Secondly, the inexact line search algorithm based on Armijo criterion is adopted to determine the search step size, and the steepest descent method and conjugate gradient method are compared. Quasi-Newton method (including BFGS method and symmetric rank 1 method) and other search direction optimization algorithms have their advantages and disadvantages and applicability. Finally, through the optimal phase search and synthesis loss evaluation of BDS B1 frequency points with different power distribution, the advantages of the improved algorithm are verified, such as high accuracy, low computational complexity, strong convergence, and so on. It provides a reference for the design and optimization of the modulation and multiplexing scheme of navigation signal.
【作者單位】： 北京航空航天大學(xué)電子信息工程學(xué)院;
【基金】：國家自然科學(xué)基金(61271197)~~
【分類號(hào)】：TN967.1

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