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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.

波是物理世界的基本组成部分。在自然界中，它们是由振荡器（如钟摆）发出的，人们故意产生和传输波来携带信息。在这两种情况下，波不是完全静态的，但可能具有表现出缓慢或快速变化的振幅，频率和相位。这些特征中的一些相对容易监测，例如波幅。其他的，特别是频率和相移，更难测量。事实上，用于精确定位波中的频率和相移的方法是许多通信系统的核心使能技术。一个普通的调频收音机电路就是这种解码算法的早期例子。如今，我们对使用波传输数字数据感兴趣，并且我们需要快速，简单的算法来确定嵌入噪声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-当我们研究一个机械振荡器，如引力波探测器的悬挂镜，并且相位或频率的偏移可能是由于温度波动或悬挂线中的应变释放。我为了研究这种振荡而开发的方法已经证明对于监测具有以下特征的波列的相位和频率也是特别有效的：其他用途，包括通信行业产生和传输的数据，以及进入示波器和其他高端测试和测量设备的数据。此外，大自然也是其他波的来源，我们可能会发现这些波是有用和有趣的，比如脑电图仪测量的脑电波，或者在冲突期间用于通信的令人困惑的波列混合物。在这些情况下，快速解释波动相位和波动频率中编码的信息的方法也可能是有用的和重要的。拟议的项目采用我开发的算法，并将其应用于对商业公司和社会都具有实际重要性的现实情况。我开发的算法，虽然在数学上相当复杂，但在迭代方程中实现，只使用简单的数学运算，如乘法和除法，使它们快速实现数字化。这些算法的商业潜力非常令人兴奋，我们当然期待在未来几个月继续探索这些可能性。