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.

Date Published: 20 September 2007
PDF: 11 pages
Proc. SPIE 6701, Wavelets XII, 670106 (20 September 2007); doi: 10.1117/12.733269

Published in SPIE Proceedings Vol. 6701:
Wavelets XII
Dimitri Van De Ville; Vivek K. Goyal; Manos Papadakis, Editor(s)