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Double-loop sigma-delta modulation with DC input

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3 Author(s)
Ning He ; Grad. Sch. of Eng., Nat. Univ. of Mexico, Mexico City, Mexico ; Kuhlmann, F. ; Buzo, A.

A discrete-time model having a two-bit (2-b) quantizer is analyzed exactly, and an analytical expression for the quantizer noise sequence is found. Rigorous answers are then provided to two fundamental questions for a double-loop sigma-delta modulation system with DC input: (1) What is the long-term statistical behavior of the internal quantizer noise? (2) How does the asymptotic mean square sigma-delta quantization error vary as a function of the oversampling ratio?

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Communications, IEEE Transactions on  (Volume:38 ,  Issue: 4 )