GRANULAR QUANTIZATION NOISE IN A CLASS OF DELTA-SIGMA MODULATORS

The trend toward digital signal processing in communication systems ha s resulted in a large demand for fast accurate analog-to-digital (A/D) converters, and advances in VLSI technology have made DELTASIGMA modu lator-based A/D converters attractive solutions. However, rigorous the oretical analyses have only been performed for the simplest DELTASIGMA modulator architectures. Existing analyses of more complicated DELTAS IGMA modulators usually rely on approximations and computer simulation s. In this paper, a rigorous analysis of the granular quantization noi se in a general class of DELTASIGMA modulators is developed. Under the assumption that some input-referred circuit noise or dither is presen t, the second-order asymptotic statistics of the granular quantization noise sequences are determined and ergodic properties are derived.