A wireless communication system using Chirp Spread Spectrum Modulation (CSSM) is analyzed in this study while assuming mobile nodes. CSSM exhibits promising error performance under very low signal-to-noise ratio values. Thereby, CSSM has been adopted in systems that generate low data traffic over long distances, such as low-power wireless networks. Existing studies reveal the significant advantages of CSSM system assuming static nodes. Yet, this article extends the existing analysis by considering mobile nodes. In particular, the error performance of CSSM system under random waypoint mobility model and fading scenarios is investigated. Specifically, Rayleigh fading and Additive White Gaussian Noise (AWGN) channels along with one-dimensional (line), two-dimensional (circle), and three-dimensional (sphere) mobility conditions are considered. A closed-form expression for the average bit error rate (BER) of CSSM system is derived and thoroughly discussed. In addition, simplified asymptotic expressions are obtained for the derived average BER at pragmatic signal to noise ratio (SNR) values along with an approximate expressions assuming pure orthogonal spreading factors. Monte-Carlo simulations are provided to corroborate the accuracy of the conducted analysis, where close-match is reported for wide range of system and channel parameters. In addition, it is reported that distance has considerable impact on the performance, whereas higher mobility dimension induces negligible degradation in performance.

在假设移动节点的情况下，本研究分析了使用线性调频扩频调制（CSSM）的无线通信系统。CSSM在极低的信噪比值下显示出有希望的错误性能。因此，CSSM已被用于在长距离内产生低数据流量的系统中，例如低功率无线网络。现有研究表明，采用静态节点的CSSM系统具有显着优势。但是，本文通过考虑移动节点扩展了现有分析。特别地，研究了在随机航点移动性模型和衰落情况下CSSM系统的错误性能。具体而言，考虑了瑞利衰落和加性高斯白噪声（AWGN）通道以及一维（直线），二维（圆形）和三维（球形）迁移率条件。推导并详细讨论了CSSM系统的平均误码率（BER）的封闭形式。此外，在实用信噪比（SNR）值的情况下，对于推导的平均BER可获得简化的渐近表达式，并带有假定纯正交扩展因子的近似表达式。提供蒙特卡洛模拟以证实进行的分析的准确性，其中报告了广泛的系统和通道参数的紧密匹配。另外，据报道，距离对性能有相当大的影响，而较高的移动性尺寸则导致性能的降低可忽略不计。在实用信噪比（SNR）值的情况下，针对推导的平均BER获得了简化的渐近表达式，并假设了纯正交扩频因子，并且获得了近似表达式。提供蒙特卡洛模拟以证实进行的分析的准确性，其中报告了广泛的系统和通道参数的紧密匹配。另外，据报道，距离对性能有相当大的影响，而较高的移动性尺寸则导致性能的降低可忽略不计。在实用信噪比（SNR）值的情况下，针对推导的平均BER获得了简化的渐近表达式，并假设了纯正交扩频因子，并且获得了近似表达式。提供蒙特卡洛模拟以证实进行的分析的准确性，其中报告了广泛的系统和通道参数的紧密匹配。另外，据报道，距离对性能有相当大的影响，而较高的移动性尺寸则导致性能的降低可忽略不计。