SBIR Phase I: Spiral Polynomial Division Multiplexing

该项目更广泛的影响/商业潜力是通过提供更强大的同步，支持快速增长的无线数据使用，并提供固定的可用带宽。现代高速通信在很大程度上依赖于发射机和接收机之间的精确同步，以实现高效的数据吞吐量。该项目开创了一种全新的技术，基于？螺旋多项式多路复用？（SPDM）以实现精确和高效的同步。它提供了一套新的方法来改善同步，可能应用于任何通信系统，面临极端的频谱效率的要求，或特别困难的同步问题，如与高速车辆，如火车通信的挑战。该项目可能导致广泛的通信领域的商业化，包括但不限于无线，移动的互联网，无人驾驶汽车，汽车，航空和物联网。它在民用和国防应用方面都有很大的潜在应用。SPDM在提供抗干扰和干扰的更稳健通信方面显示出了希望。这个小型企业创新研究（SBIR）第一阶段项目解决了在发射机和接收机之间实现非常精确的同步的问题，同时消耗最小的功率和带宽。研究的目的是表明，一种新型的同步，基于SPDM，使上级同步性能比以前的方法是可能的。SPDM引入了一种基于多项式系数空间中的正交性来组合或复用信号的新方式。这导致在一个非常大的波形设计空间，它可以使用多项式卷积的带宽限制？整形多项式同步可以实现内SPDM通过检查产生一个时间对齐？合理的结果？当在接收机中对成形多项式进行去卷积时，由于SPDM多项式的特殊性质，这可能是非常敏感的测试。该研究将涉及在各种条件下系统地测试SPDM同步，检查性能数据，并与标准同步方法进行比较。预计这项研究将显示出显着的好处SPDM同步在至少一些实际上重要的情况下，形成的基础上，进一步研究导致部署的SPDM为基础的系统。

The broader impact/commercial potential of this project is to support rapidly growing wireless data usage with fixed available bandwidth through the provision of more robust synchronization. Modern high-speed communication is heavily dependent on precise synchronization between transmitters and receivers to enable efficient data throughput. This project pioneers an entirely novel technique based on ?Spiral Polynomial Division Multiplexing? (SPDM) to enable precise and efficient synchronization. It offers a new set of approaches for improving synchronization, with possible applications to any communication systems that face extreme spectral efficiency demands, or which are challenged by particularly difficult synchronization problems such as communication with high-speed vehicles such as trains. This project could lead to commercialization across a wide range of communication sectors including but not limited to wireless, mobile internet, unmanned vehicles, automotive, aviation, and Internet of Things. It has major potential applications in both civilian and defense applications. SPDM shows promise in providing more robust communications that are resistant to interference and jamming.This Small Business Innovation Research (SBIR) Phase I project addresses the problem of achieving very precise synchronization between a transmitter and receiver, while expending minimal power and bandwidth to do so. The research objective is to show that a new type of synchronization, based on SPDM, enables superior synchronization performance than is possible with previous methods. SPDM introduces a new way of combining, or multiplexing, signals based on orthogonality in the polynomial coefficient space. This results in a very large waveform design space, which can be bandlimited using polynomial convolution with a ?shaping polynomial?. Synchronization can be achieved within SPDM by checking for the time alignment which produces a ?reasonable result? when the shaping polynomial is deconvolved in the receiver, which can be a very sensitive test due to the special properties of SPDM polynomials. The research will involve systematically testing SPDM synchronization under a variety of conditions, examining performance data, and comparing against standard synchronization methods. It is anticipated that this research will show significant benefits for SPDM synchronization in at least some practically important situations, forming the basis for further research leading to deployment of SPDM-based systems.