# Mitigating the impact of sinusoidal jitter and duty cycle distortion on random jitter estimation by Tailfit algorithm

TL;DR: The proposed methodology is validated by inducing known jitter sources in real channel simulator of ADS from Agilent and involves calculation of mathematical correction factor, which is derived and used to calculate the precise value of random jitter.

Abstract: Random jitter (RJ) estimation based on Tail Fit algorithm are generally inaccurate in presence of deterministic components like the presence of sinusoidal jitter (SJ) and duty cycle distortion (DCD). Addition of deterministic jitter changes the standard deviation of the tail region of resulting jitter probability density function. A new methodology for random jitter estimation in presence of sinusoidal jitter and duty cycle distortion is presented. The method involves calculation of mathematical correction factor, which are derived and used to calculate the precise value of random jitter. The proposed methodology is validated by inducing known jitter sources in real channel simulator of ADS from Agilent.

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##### Citations

10 citations

### Cites background from "Mitigating the impact of sinusoidal..."

...That is why the decomposition of jitter into its component isneedful....

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2 citations

### Cites methods from "Mitigating the impact of sinusoidal..."

...Furthermore, statistical jitter analysis techniques such as Tail fit algorithm [15], Peak Distortion analysis (PDA) [16] and random jitter estimation through direct computation of probabilities [13], [17] are explained in detail....

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### Cites methods from "Mitigating the impact of sinusoidal..."

...Therefore, this method can effectively minimize the jitter of the DCD, thereby reducing the BER caused by the DCD [24], [25]....

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### Cites background from "Mitigating the impact of sinusoidal..."

...The problems in tail-fit algorithm in presence of sinusoidal jitter and DCD and mitigating the impact of these on RJ were discussed in [34]....

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...The above discussed paper [30] [31] [32] [34] are only focused on RJ and DJ separations....

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##### References

12,721 citations

10,545 citations

### "Mitigating the impact of sinusoidal..." refers methods in this paper

...The chi-squared test[6][2][4] is used to measure the degree of fitness between the Gaussian curve and the tail region of total jitter pdf....

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1,066 citations

### "Mitigating the impact of sinusoidal..." refers methods in this paper

...The chi-squared test[6][2][4] is used to measure the degree of fitness between the Gaussian curve and the tail region of total jitter pdf....

[...]

168 citations

128 citations

### "Mitigating the impact of sinusoidal..." refers background or methods in this paper

...Tail fit Algorithm The chi-square value is relative, so in order to get the value of absolute error percentage, unit sigma and mean obtained from mean computation block is used as initial guess for the tail fitting algorithm[2][4]....

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...The chi-squared test[6][2][4] is used to measure the degree of fitness between the Gaussian curve and the tail region of total jitter pdf....

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...Thus jitter segregation could be done through tail fitting [2]....

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...Then initial guess of mean is computed and standard tail fit algorithm [2][4] is applied to get estimation of random jitter value....

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