FAST real time sine wave Locking And trackiNg devicEs (FASTSINE)

FAST 实时正弦波锁定和跟踪设备 (FASTSINE)

基本信息

批准号：
ST/K000365/1
负责人：
Edward Daw
金额：
$ 11.23万
依托单位：
University of Sheffield
依托单位国家：
英国
项目类别：
Research Grant
财政年份：
2012
资助国家：
英国
起止时间：
2012 至无数据
项目状态：
已结题

来源：
https://gtr.ukri.org/projects?ref=ST%2FK000365%2F1
关键词：
FAST real time sine wave

项目摘要

Waves are a fundamental part of the physical world. In nature, they are emitted by oscillators such as a pendulum, and people deliberately generate and transmit waves to carry information. In both of these cases, the waves are not entirely static, but may have an amplitude, frequency, and phase that exhibit slow or rapid changes. Some of these characteristics are relatively easy to monitor, such as the wave amplitude. Others, particularly frequency and phase shifts, are more difficult to measure. In fact, methods for accurately locating frequency and phase shifts in a wave are a central enabling technology for many communications systems. An ordinary FM radio circuit is an early example of such a decoding algorithm. Nowadays, we are interested in transmitting digital data using waves, and we need fast, simple algorithms for determining the frequency and phase content of a digitised wave train embedded in a noisy background. In some cases, the wave trains may be natural - when we are studying a mechanical oscillator such as the suspended mirror of a gravitational wave detector, and the shifts in phase or frequency may be due to temperature fluctuations or strain releases in the suspension wire.Methods I have developed for the purpose of studying such oscillations have proved also particularly effective for monitoring the phase and frequency of wave trains having other purposes, including those generated and transmitted in the communications industry, and those entering oscilloscopes and other high-end pieces of test and measurement equipment. Furthermore, nature is a source of other waves that we may find useful and interesting, like brain waves measured by electroencephelographs or the confusing mixture of wave trains used for communications during conflicts. In these cases too, methods for rapidly interpreting the information encoded in the fluctuating phase and frequency of the waves may be useful and important.The proposed project takes the algorithms I have developed and applies them to real-world situations of practical importance both to commercial companies and to society. The algorithms I have developed, though mathematically quite sophisticated, are realised in iteration equations that utilise only simple mathematical operations like multiplies and divides, making them fast to implement digitally. The commercial potential of these algorithms is quite exciting, and we are certainly looking forward to continuing our exploration of these possibilities in the coming months.

波浪是物理世界的基本组成部分。在自然界中，它们是由振荡器（例如摆动器）发出的，人们故意产生和传输波浪以携带信息。在这两种情况下，波不完全是静态的，但可能具有缓慢或快速变化的幅度，频率和相。这些特征中的一些相对易于监测，例如波浪振幅。其他，尤其是频率和相移，更难以测量。实际上，用于准确定位波浪中的频率和相移的方法是许多通信系统的中心启示技术。普通的FM无线电电路是这种解码算法的早期示例。如今，我们有兴趣使用WAVES传输数字数据，并且我们需要快速，简单的算法来确定嵌入在嘈杂背景中的数字化波列的频率和相位内容。在某些情况下，波列可能是自然的 - 当我们研究机械振荡器（例如重力波检测器的悬浮镜）时，相位或频率的变化可能是由于温度波动或悬架线中的应变释放造成的。我为研究这种振荡而开发的方法证明，对于监视具有其他用途的波列的阶段和频率，包括在通信行业中产生和传播的方法，以及那些进入示波器和其他高端碎片的方法特别有效。测试和测量设备。此外，自然是我们可能会发现有用且有趣的其他波浪的来源，例如通过脑电脑仪测量的脑波或在冲突期间用于通信的波浪列的混淆。在这些情况下，在波动阶段和波浪频率中快速解释所编码的信息的方法也可能很有用，很重要。拟议的项目采用了我开发的算法，并将其应用于实际重要性的实际重要性，这两者都将其用于商业。公司和社会。我已经开发的算法，尽管在数学上相当复杂，但在仅利用简单数学操作（例如乘以和分裂）的迭代方程中实现了，从而使它们快速地实现了数字化。这些算法的商业潜力非常令人兴奋，我们当然希望在未来几个月继续探索这些可能性。