DoubleLoop SigmaDelta Modulation with dc Input

Through an exact analysis of a discrete-time model having a two-bit (2-b) quantizer, we provide rigorous answers to two fundamental questions for a double-loop sigma-della modulation system with dc input. 1) What is the long-term statistical behavior of the internal quantizer noise? 2) How does the asymptotic mean-squared sigma-delta quantization error vary as a Junction of the oversampling ratio?