This work explores the effects of limit cycles on the frequency content in the DSD bitstream. We show how any periodic bitstream can be expressed as a sum of square waves of various phases with width equal to the sampling period. A Fourier expansion may be used to exactly determine the phases and amplitudes of all spectral content. We thus determine all harmonics that appear in the output, and thus are able to distinguish limit cycles from idle tones. These results are put into the context of recent advances in the theory of limit cycles and idle tones in sigma delta modulators.

Authors: Reiss, Joshua D.; Sandler, Mark B.
Affiliation: Queen Mary, University of London, London, UK
AES Convention: 116 (May 2004) Paper Number: 6092
Publication Date: May 1, 2004
Subject: Signal Processing

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