SBIR Phase I: Spiral Polynomial Division Multiplexing

这个项目的更广泛的影响/商业潜力是通过提供更健壮的同步，以固定可用带宽支持快速增长的无线数据使用。现代高速通信在很大程度上依赖于发射器和接收器之间的精确同步，以实现高效的数据吞吐量。这个项目开创了一种全新的基于？螺旋多项式分复用？（SPDM），以实现精确和高效的同步。它为改善同步提供了一套新的方法，可能应用于任何面临极端频谱效率要求的通信系统，或者受到特别困难的同步问题挑战的通信系统，例如与火车等高速车辆的通信。该项目可以在广泛的通信领域实现商业化，包括但不限于无线、移动互联网、无人驾驶汽车、汽车、航空和物联网。它在民用和国防领域都有很大的潜在应用。SPDM有望提供更健壮的通信，可以抵抗干扰和干扰。这个小型企业创新研究（SBIR）第一阶段项目解决了在发射器和接收器之间实现非常精确同步的问题，同时消耗最小的功率和带宽。研究的目的是证明一种基于SPDM的新型同步能够实现比以前的方法更好的同步性能。SPDM引入了一种基于多项式系数空间正交性的信号组合或多路复用的新方法。这导致了一个非常大的波形设计空间，可以使用多项式卷积的带宽限制？塑造多项式?。同步可以在SPDM中通过检查产生？合理的结果?当整形多项式在接收机中反卷积时，由于SPDM多项式的特殊性质，这可以是一个非常敏感的测试。研究将包括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。预计这项研究将至少在一些实际重要的情况下显示SPDM同步的显著好处，为进一步研究导致基于SPDM的系统的部署奠定基础。

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.