Stability Analysis of High Order Sigma-Delta Modulators

نویسندگان

  • Valeri Mladenov
  • Hans Hegt
  • Arthur van Roermund
چکیده

In this paper we present a method for stability analysis of high order Sigma-Delta modulators. The method is based on a parallel decomposition of the modulator. Using this presentation the general N-th order modulator could be considered as made up of N first order modulators, which interact only through the quantizer function. The decomposition helps us to extract the stability conditions of the N-th order modulator. They are determined by the stability conditions of each of the first order modulators but shifted with respect to the origin of the quantizer function, because of the influence of all other first order modulators .

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Time-Mode Signal Quantization for Use in Sigma-Delta Modulators

The rapid scaling in modern CMOS technology has motivated the researchers to design new analog-to-digital converter (ADC) architectures that can properly work in lower supply voltage. An exchanging the data quantization procedure from the amplitude to the time domain, can be a promising alternative well adapt with the technology scaling. This paper is going to review the recent development in t...

متن کامل

Stability Analysis and Limit Cycles of High Order Sigma-Delta Modulators

In this chapter we present an unified approach for study the stability and validation of potential limit cycles of one bit high order Sigma-Delta modulators. The approach is general because it uses the general form of a Sigma-Delta modulator. It is based on a parallel decomposition of the modulator and a direct nonlinear systems analysis. In this representation, the general N-th order modulator...

متن کامل

Audio Engineering Society

One of the greatest unsolved problems in the theory of sigma delta modulation concerns the ability to analytically derive the stability, or boundedness, of a high order sigma delta modulator (SDM). In this work, we describe the existing literature and try to clarify the issues involved. We fully derive the stability of first order sigma delta modulators, and derive some important results for th...

متن کامل

Decrease in Hardware Consumption and Quantization Noise of Digital Delta-Sigma Modulators and Implementation by VHDL

A new structure is presented for digital delta-sigma modulator (DDSM). Novel architecture decreases hardware consumption, output quantization noise and spurs in Comparison to previous architectures. In order to reduce the delay, power consumption and increase maximum working frequency, the pipelining technique and the carry skip adder are used. Simulation proposed architecture shows that the qu...

متن کامل

A Framework for Analysis of High Order Sigma-Delta Modulators

In this paper a framework for the analysis of a family of high order interpolative sigma-delta modulators is introduced. It is shown that a large number of high order architectures can be reduced to a diagonal form which facilitates the stability analysis of the system. In addition, the diagonal form is a canonical form which illustrates the equivalence of a variety of sigma-delta architectures...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2001