RIA: Fundamentals of Delta-Sigma Modulation

Schreier Delta-sigma调制为高线性度和可制造的模数和数模转换器奠定了基础，这些转换器被称为“过采样噪声整形”转换器。这些电路在窄带系统中得到应用，例如数字音频设备以及医疗和地球物理仪器。目前，没有足够的测试这些非线性系统的稳定性-设计者只能使用广泛的计算机模拟，并希望模拟充分锻炼电路。这项研究正在开发一种快速而完全严格的方法，将分析技术与数值算法相结合，以证明Delta-sigma调制器的鲁棒稳定性。Delta-Sigma调制器的空闲信道噪声是第二个研究课题。正在展示如何保证Delta-sigma调制器中的非周期行为，但单凭这一点并不足以保证没有音调。为了判断该技术的有效性，需要进行使用来自模拟的数据的收听实验。这些研究的结果正在被合并到一个计算机程序中，用于增量-西格玛调制器的自动化设计。

Schreier Delta-sigma modulation forms the foundation for the highly linear and manufacturable analog-to-digital and digital-to-analog converters known as "oversampled noise-shaping" converters. These circuits find application in narrow band systems such as digital audio equipment and medical and geophysical instrumentation. At present, there are no adequate tests for stability of these nonlinear systems - designers can only use extensive computer simulations and hope that the simulations exercise the circuit adequately. This research is developing a quick and completely rigorous method which combines analytical techniques with numerical algorithms to prove the robust stability of a delta-sigma modulator. The idle-channel noise of delta-sigma modulators is a second research topic. How to guarantee aperiodic behavior in delta-sigma modulators is being shown, but this alone is not sufficient to guarantee an absence of tones. Listening experiments using data derived from simulations need to be performed in order to judge the effectiveness of the technique. The results of these investigations are being incorporated into a computer program for the automated design of delta-sigma modulators.