Granular quantization noise in a class of delta-sigma modulators

The trend toward digital signal processing in communication systems has resulted in a large demand for fast accurate analog-to-digital (A/D) converters, and advances in VLSI technology have made /spl Delta//spl Sigma/ modulator-based A/D converters attractive solutions. However, rigorous theoretical analyses have only been performed for the simplest /spl Delta//spl Sigma/ modulator architectures. Existing analyses of more complicated /spl Delta//spl Sigma/ modulators usually rely on approximations and computer simulations. In the paper, a rigorous analysis of the granular quantization noise in a general class of /spl Delta//spl Sigma/ modulators is developed. Under the assumption that some input-referred circuit noise or dither is present, the second-order asymptotic statistics of the granular quantization noise sequences are determined and ergodic properties are derived.<
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