A method, apparatus, and article of manufacture for analyzing a measurable distribution having random components and deterministic components. The method includes the steps of collecting data, constructing a probability density function based on the data such that the probability density function is a convolution of deterministic functions and random functions, constructing a probability density function based on a deterministic and random convolution model having three or more parameters wherein at least one of the parameters are unknown, and determining unknown parameters by using a deconvolution process.
A random component of jitter and a deterministic component of jitter are separated. A measured jitter distribution is obtained. A form is selected for a selected component of jitter. The selected component of jitter is either the random component of jitter or the deterministic component of jitter. A remaining component of jitter is either the random component of jitter or the deterministic component of jitter, whichever is not the selected component of jitter. The selected form for the selected component of jitter is convolved with a generalized function for the remaining component of jitter to produce a resulting equation. The resulting equation is fitted to the measured jitter distribution.
Random and deterministic components of jitter are separated. A measured value for deterministic jitter and a plurality of values for random jitter are used to calculate a plurality of first ratios (.xi..sup.ml) of random jitter to deterministic jitter. For each of the plurality of values for random jitter, the value for random jitter is convolved with the measured value for deterministic jitter and a double delta approximation is performed on the result to calculate a plurality of second ratios (.xi..sup.dd) of random jitter to deterministic jitter. A double delta approximation is performed on a measured jitter distribution to obtain a ratio (.xi..sup.dd.sub.meas) of random jitter to deterministic jitter. The ratio (.xi..sup.dd.sub.meas) is adjusted using a relationship of the plurality of first ratios (.xi..sup.ml) to the plurality of second ratios (.xi..sup.dd) in order to produce a corrected ratio (.xi..sup.ml.sub.corr).
