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We consider the problem of estimating the parameters of a signal when the sampling instances are perturbed by signal-independent timing noise. The classical techniques consider timing noise to induce a signal-independent additive white Gaussian noise term on the sample values. We reject this simplification of the problem and give alternative methodologies. For the problem of delay estimation when the pulse shape and amplitude of the signal are known, we give an iterative algorithm that shows superior performance compared to the traditional method which relies on maximizing the cross-correlation.