Bluetooth跳频算法及其性能分析

Bluetooth（蓝牙）是由Ericsson等五家世界级的计算机和通信公司作为原始发起组织而推出的一种低成本、短距离的全球无线多媒体通信标准，它可以使我们避免电缆布线的烦琐，实现在各种蓝牙设备之间方便快捷的连接。Bluetooth技术作为无线通信技术领域的最新重大进展，代表着短距离无线通信技术的未来发展潮流。在跳频通信中，跳频序列的性能对系统性能有着决定性的影响。本文重点研究了Bluetooth无线传输协议的跳频算法，给出了算法流程及分析说明，并且对信道跳频序 列进行了初步的性能分析。结果表明该序列具有良好的均匀性和随机性。     

基于时频表示的跳频信号分析

针对跳频信号的非平稳性,提出了基于时频表示的跳频信号分析方法。该方法能够有效地描绘出跳频信号的频率随时间跳变的规律 (跳频图案 ),具有很高的时间 -频率分辨率,同时能够有效抑制或减小交叉项的干扰,计算时可采用递归算法,运算量较小,因此能够满足跳频系统的快速分析、跟踪、测量等要求。计算机仿真验证了应用时频表示法分析跳频信号的有效性和实用性。     

Resonance transitions associated to weak capture in the restricted three-body problem

An interesting dynamics is studied in the restricted three-body problem where a particle abruptly transitions between resonance states, called a resonance hop. It occurs in a region about the secondary mass point which supports weak capture. This region, called a weak stability boundary, was recently proven to give rise to chaotic dynamics. Although it was numerically known that the resonance hop was associated with this boundary, this process was not well understood. In addition, the dynamical structure of the weak stability boundary has not been well understood. In this paper, we give a way to reveal the global structure of the weak stability boundary associated to resonance motions. This structure is shown to be surprisingly rich in resonant periodic motions interconnected by invariant manifolds. In this case, nearly all the motions are approximately resonant in nature where resonance hops can occur. The correlation dimension of orbits undergoing resonant motions, associated to the weak stability boundary, is also examined. The dynamics analyzed in the present paper is related to that studied by J. Marsden et al. under the perspective of Lyapunov orbits and the associated invariant manifolds. Applications are discussed.     

一种月球表面飞跃转移轨迹设计方法

针对飞跃器在月球表面飞跃转移轨迹设计问题,提出了基于凸优化方法的整个飞跃过程燃料最优轨迹设计方法。与经典凸优化方法对轨迹分段求解后再拼接得到全轨迹设计的方法不同,在假设垂直上升、着陆时间固定条件下,根据实际工程需要对轨迹进行了分段设计约束,利用黄金分割法搜索上升着陆时间,通过将原问题转化为求解一个二阶锥问题得到了全飞行过程燃料最优轨迹,解决了经典方法中分段最优但全任务过程非最优的问题。仿真结果表明,在同样满足分段约束情况下,分段凸优化方法采用不同垂直起降速度约束时燃耗分别为25.7207kg和 25.3903kg,而全程凸优化方法的燃料消耗为24.9682kg,优于分段凸优化的结果。