General Theory of Digital Signal Processing via-Sampled Data Control Theory and Its Applications

数字信号处理一般理论——采样数据控制理论及其应用

基本信息

批准号：
15360224
负责人：
YAMAMOTO Yutaka
金额：
$ 8.58万
依托单位：
Kyoto University
依托单位国家：
日本
项目类别：
Grant-in-Aid for Scientific Research (B)
财政年份：
2003
资助国家：
日本
起止时间：
2003 至 2005
项目状态：
已结题

项目摘要

This research project intends to develop a new theory and method of signal processing that optimize analog performance via modern sampled-data control theory. The central issue here is the reconstruction/restoration beyond the so-called Nyquist frequency. In the conventional approach, initiated by Shannon, one takes the viewpoint that no information content is available beyond the Nyquist frequency. This viewpoint is now ubiquitous, and accepted without a doubt in all aspects of signal processing. The present approach questions the validity of such an assumption. Indeed, according to the accomplishments of modern sampled-data control theory, it is possible to interpolate the intersample behavior, if one can assume an overall frequency decay characteristic. This is in marked contrast to the Shannon approach.The present research has successfully derived a filter that gives rise to a suboptimal analog performance, and it has been guaranteed that it gives a superior result in sound processing. This has been also assured in a newly designed DA converter using a DSP. This DA converter has shown to outperform the current high-end CD players available in the market.We have also obtained a new sound compression algorithm and a new sound restoration algorithm ; the latter is now adopted in a several commercial use. We have also shown that the new method is applicable to image processing, and indeed improves image quality. More practical aspects are themes for future study.

该研究项目旨在开发一种新的信号处理理论和方法，该理论通过现代采样数据控制理论优化模拟性能。这里的中心问题是超出所谓的Nyquist频率的重建/恢复。在Shannon发起的常规方法中，人们认为没有信息内容超出Nyquist频率。现在，这种观点无处不在，并且在信号处理的各个方面毫无疑问地接受。目前的方法质疑这种假设的有效性。确实，根据现代采样数据控制理论的成就，如果可以假设总体频率衰减特征，则可以插入样本间行为。这与香农方法形成鲜明对比。目前的研究成功得出了一种导致次优的模拟性能的过滤器，并且可以保证，它可以为声音处理带来优越的结果。使用DSP在新设计的DA转换器中也保证了这一点。该DA转换器已显示出胜过市场上当前可用的高端CD播放器。我们还获得了一种新的声音压缩算法和新的声音恢复算法。后者现在在几种商业用途中被采用。我们还表明，新方法适用于图像处理，实际上可以提高图像质量。更实际的方面是未来研究的主题。