Bounded uncorrelated signal impairment deconvolution for total signal impairment extrapolation

摘要

Methods and systems are described for analyzing signal impairments using a test and measurement instrument. A method may include decomposing aggregate signal impairments into signal impairments that are correlated and uncorrelated to an acquired data pattern. The uncorrelated signal impairments may be further decomposed into periodic signal impairments (e.g., PJ) and non-periodic uncorrelated signal impairments. A PDF of the non-periodic uncorrelated signal impairments may be mathematically integrated, thereby producing an estimated cumulative distribution function (CDF) curve. Random signal impairments may be estimated as an unbound Gaussian distribution. The CDF curve of the non-periodic uncorrelated signal impairments and the unbound Gaussian distribution may be plotted in Q-space on a display device. Non-periodic bounded uncorrelated signal impairments (e.g., NP-BUJ) PDF may then be isolated. Bounded uncorrelated signal impairments PDF may then be synthesized. Complete uncorrelated signal impairments PDF may be synthesized. A synthesis of the decomposed components can be performed at a user-defined bit error rate to generate the total estimated jitter (e.g., TJ@BER or TN@BER).

主权项

1. A method for analyzing signal impairments using a test and measurement instrument, the method comprising:
acquiring a signal comprising aggregate signal impairments through at least one input terminal; decomposing the aggregate signal impairments into signal impairments that are correlated to a data pattern and signal impairments that are uncorrelated to the data pattern; decomposing the uncorrelated signal impairments into periodic signal impairments and non-periodic uncorrelated signal impairments; producing and storing on a storage medium a probability distribution function (PDF) of the periodic signal impairments; producing and storing on the storage medium a probability distribution function (PDF) of the non-periodic uncorrelated signal impairments; integrating the PDF of the non-periodic uncorrelated signal impairments, thereby producing an estimated cumulative distribution function (CDF) curve of the non-periodic uncorrelated signal impairments; estimating random signal impairments as an unbound Gaussian distribution; plotting the CDF curve of the non-periodic uncorrelated signal impairments and the unbound Gaussian distribution in Q-space; and isolating a CDF of non-periodic bounded uncorrelated signal impairments based on the CDF curve of the non-periodic uncorrelated signal impairments and the unbound Gaussian distribution in Q-space.