20 September 2007 The tiling phenomenon of ΣΔ modulators with time-varying inputs
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Currently, the most efficient technique to coarsely quantize the coefficients of redundant shift invariant signal expansions is a recursive method called ΣΔ modulation. However, the error of approximation resulting from this type of quantization is difficult to analyze rigorously. This is because a ΣΔ modulator is basically a nonlinear feedback system. With constant inputs, it was previously shown that the state vectors of ΣΔ modulators of a certain class appear to remain in a tile. In this paper, we show experimentally that this property remains valid with a class of time-varying inputs. We explain the importance of the tiling property for the error analysis of ΣΔ modulation.
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Nguyen T. Thao, "The tiling phenomenon of ΣΔ modulators with time-varying inputs", Proc. SPIE 6701, Wavelets XII, 670106 (20 September 2007); doi: 10.1117/12.733269; https://doi.org/10.1117/12.733269

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