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An analytical method is described by which the inphase and quadrature spectra of self-noise in a clock recovery circuit using arbitrary nonlinearity can be computed. The analytical results are confirmed by simulation using a time-truncated Nyquist pulse having a raised-cosine rolloff. In contrast to a reference in the open literature which computes the spectra of discretized output of the nonlinearity operator, this paper computes spectra for the continuous signal case. There are significant differences between results based on the discretized model and those based on the continuous model. These differences are illustrated by an example.