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We derive a method for using distributed resonators in ΔΣ modulators and demonstrate these ΔΣ modulators have several advantages over existing ΔΣ modulator architectures. Like continuous-time (CT) ΔΣ modulators, the proposed ΔΣ modulators do not require a high-precision track-and-hold, and additionally can take advantage of the high-Q of distributed resonators. Like discrete-time ΔΣ modulators, the proposed ΔΣ modulators are relatively insensitive to feedback loop delays and can subsample. We present simulations of several types of these ΔΣ modulators and examine the challenges in their design.