Signal Processing for Digital Analog Interface

摘要：本研究探讨了如何利用编码和信号处理技术来构建更好的模数转换器和数模转换器，为数字印刷创建更好的半调色算法，并改善医学成像。所有这些以及许多其他应用都使用了一种称为σ δ调制的技术。σ δ调制是一种可以从二进制量化数据生成高精度信号的技术。本研究通过将其视为优化问题的贪婪解而不是具有反馈的线性系统，提供了对Sigma δ调制的新解释。这种新观点不仅解释了现有的Sigma Delta调制器是如何工作的，而且还提出了一种全新的调制器结构连续体，可以用复杂性来换取性能。这项研究有两个重点，一个是实践和实验，另一个是理论。实际推力将改进现有的传统σ δ调制器设计的经验方法，然后使其适应优化方法提出的新调制器结构。这项研究应该为现在使用Sigma Delta调制器的众多领域以及由于这项研究而变得可行的新应用带来直接的好处。理论推力将发展对量化过程的严格理解。

Abstract:This research explores how techniques from coding and signal processing can beused to build better analog to digital and digital to analog converters, create better half toning algorithmsfor digital printing,and improve medical imaging. All of these as well as many other applications use a technique calledSigma Delta modulation. Sigma Delta modulation is a technique which allows high precisionsignal to be generated from binary quantized data. This research provides a new interpretation of Sigma Deltamodulation by viewing it as a greedy solution to an optimization problem insteadof a linear system with feedback.This new view not only explains how existing Sigma Delta modulators work but alsosuggests a whole new continuum of modulator structures which cantrade complexity against performance. The research has two mainthrusts, one practical and experimental and the other theoretical.The practical thrust will improve upon the existing empiricalapproaches to conventional Sigma Delta modulator design and thenadapt them to new modulator structures suggested by the optimizationapproach. This research should yield immediate benefits for thenumerous areas where Sigma Delta modulators are used now as wellas new applications that will become viable because of thisresearch. The theoretical thrust will develop a rigorousunderstanding of the quantization process.