With the development of global navigation satellite systems (GNSS), multiple signals modulated on different sub-carriers are needed to provide various services and to ensure compatibility with previous signals. As an effective method to provide diversified signals without introducing the nonlinear distortion of High Power Amplifier (HPA), the multi-carrier constant envelope multiplexing is widely used in satellite navigation systems. However, the previous method does not consider the influence of sub-carrier frequency constraint on the multiplexing signal, which may lead to signal power leakage. By determining the signal states probability according to the sub-carrier frequency constraint and solving the orthogonal bases according to the homogeneous equations, this article proposed multi-carrier constant envelope multiplexing methods based on probability and homogeneous equations. The analysis results show that the methods can multiplex multi-carrier signals without power leakage, thereby reducing the impact on signal ranging performance. Meanwhile, the methods could reduce the computation complexity. In the case of three different carriers multiplexing, the number of optimization equations is reduced by nearly 66%.

中文翻译：

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考虑子载波频率约束的多载波DSSS信号的恒定包络复用

随着全球导航卫星系统（GNSS）的发展，需要在不同的子载波上调制的多个信号来提供各种服务并确保与先前信号的兼容性。作为一种在不引入大功率放大器（HPA）非线性失真的情况下提供多样化信号的有效方法，多载波恒定包络复用技术已广泛用于卫星导航系统中。但是，先前的方法没有考虑子载波频率限制对复用信号的影响，这可能导致信号功率泄漏。通过根据子载波频率约束确定信号状态概率，并根据齐次方程求解正交基，本文提出了一种基于概率和齐次方程的多载波恒定包络复用方法。分析结果表明，该方法可以多路复用多载波信号而不会发生功率泄漏，从而减少了对信号测距性能的影响。同时，这些方法可以降低计算复杂度。在三个不同载波复用的情况下，优化方程的数量减少了近66％。