Dynamics of a bandpass sigma-delta modulator as a piecewise isometry
نویسندگان
چکیده
We examine a model for a bandpass Σ∆ modulator introduced by Feely and co-workers. This is shown to have the dynamics of a piecewise isometry of a union of convex polygons on the plane by an appropriate transformation of the linearised parts into normal form. Using these we show that the periodically coded regions form a packing of the phase space by circles and we link this system to a number of similar ones. In particular we conjecture that for typical values of the parameter θ there is a positive measure set of points that have aperiodic codings.
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