2008/09/24 by Daniel S. Weller, Weller, Daniel S., Vivek K Goyal +1
Engineering · #Advancements in PLL and VCO Technologies #Analog and Mixed-Signal Circuit Design #Applications (stat.AP) #Control Systems and Identification #FOS: Computer and information sciences
paper · pdf · doi:10.48550/arxiv.0809.4244
openalex publication_date 2008/09/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
This paper describes several new algorithms for estimating the parameters of a periodic bandlimited signal from samples corrupted by jitter (timing noise) and additive noise. Both classical (non-random) and Bayesian formulations are considered: an Expectation-Maximization (EM) algorithm is developed to compute the maximum likelihood (ML) estimator for the classical estimation framework, and two Gibbs samplers are proposed to approximate the Bayes least squares (BLS) estimate for parameters independently distributed according to a uniform prior. Simulations are performed to demonstrate the significant performance improvement achievable using these algorithms as compared to linear estimators. The ML estimator is also compared to the Cramer-Rao lower bound to determine the range of jitter for which the estimator is approximately efficient. These simulations provide evidence that the nonlinear algorithms derived here can tolerate 1.4-2 times more jitter than linear estimators, reducing on-chip ADC power consumption by 50-75 percent.