The objective of this work is to analyze pulsed digital
oscillators (PDOs), as dynamical systems. It is proved that under
some conditions, the bitstream at the output of the oscillator is
that of the sign of a sampled sinusoid at the resonant frequency of
the resonator, and that a bijection exists between these sequences
(without distinguishing between a sequence and its negated version)
and those of first-order sigma-delta modulators. This provides
a new and simple method of obtaining the oscillation frequency
of PDOs just from their bitstream.
CitationDomínguez, M.; Pons-Nin J.; Ricart, J. General dynamics of pulsed digital oscillators. A: IEEE Transactions on Circuits and Systems, 2008, vol. 55, p. 2038-2050.
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