Signal Processing for Digital Analog Interface

翻译后摘要：本研究探讨了如何从编码和信号处理技术可以beused建立更好的模拟到数字和数字到模拟转换器，创建更好的半色调算法的数字印刷，并改善医学成像。所有这些以及许多其他应用都使用一种称为Σ-Δ调制的技术。Σ-Δ调制是一种可以从二进制量化数据中产生高精度信号的技术。这项研究提供了一个新的解释西格玛德尔塔调制看作是一个贪婪的解决方案的优化问题，而不是一个线性系统的反馈，这一新的观点不仅解释了如何现有的西格玛德尔塔调制器的工作，但也提出了一个全新的连续的调制器结构，可以贸易的复杂性对性能。本文的研究主要有两个方面，一个是实验性的，另一个是理论性的，实验性的将改进现有的传统Σ-Δ调制器的设计方法，并使之适应于优化方法所提出的新的调制器结构。这项研究应该产生直接的好处thericherous领域的Σ-Δ调制器使用，现在以及新的应用程序，将成为可行的，因为这项研究。理论上的推动力将发展出对量子化过程的严格理解。

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.