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In this paper, the use of continuous-time implementation in extended-range (ER) incremental sigma-delta analog-to-digital converters is analyzed in order to explore a possible solution to low-power multichannel applications. The operation principle, possible loop filter topologies, and critical issues are considered using a general approach. It is demonstrated that, in order to fully benefit from ER, careful attention has to be paid to the analog-digital transfer function mismatches. A third-order single-bit topology validates the theoretical analysis. Its performance is evaluated while the impact of key circuit nonidealities is quantified through behavioral-level simulations. It is shown that, by applying analog-digital mismatch compensation in the digital domain, it is possible to relax the amplifiers' finite gain-bandwidth product and finite dc gain requirements, thus allowing a power-conscious alternative.