The tiling phenomenon of sigma-delta modulators with time-varying inputs

Nguyen T. Thao

doi:10.1117/12.733269

20 September 2007 The tiling phenomenon of ΣΔ modulators with time-varying inputs

Nguyen T. Thao

Proceedings Volume 6701, Wavelets XII; 670106 (2007) https://doi.org/10.1117/12.733269
Event: Optical Engineering + Applications, 2007, San Diego, California, United States

Abstract

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.

Citation Download Citation

Nguyen T. Thao "The tiling phenomenon of ΣΔ modulators with time-varying inputs", Proc. SPIE 6701, Wavelets XII, 670106 (20 September 2007); https://doi.org/10.1117/12.733269

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