Symbol rate timing recovery for higher order partial response channels

Aziz, P.M.; Surendran, Sudeep

doi:10.1109/49.920172

Cited by 23 publications

(8 citation statements)

References 8 publications

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“…Given a one-step extension of a survivor input path, the value of that maximizes is easily obtained either by the least square fit or, equivalently, by taking derivative with respect to and setting the result to zero. We obtain (8) where and the subscript in emphasizes that this estimator is for the symbol interval. The error variance of this estimator is , where is the variance of the additive white Gaussian noise (AWGN) .…”

Section: Phase Update and Pseudo-codementioning

confidence: 99%

“…The phase update method of (13) is clearly simpler to implement than (8) and also allows theoretical steady-state loop analysis. Expression (12) or (13) also points to the formulation of a "leaky" version of the phase update equation [21].…”

Section: Phase Update and Pseudo-codementioning

confidence: 99%

“…However, the detector can only operate with proper recovery of timing of each bit relative to others [3], [4]. Furthermore, the timing recovery operation also typically depends on the estimated bits fed by the detector [5]- [8]. This is true whether the timing error detector (TED) portion of the timing recovery loop is derived from the timing function approach of Mueller and Muller [6], [9], the minimum mean squared error (MMSE) principle [10] or the maximum likelihood (ML) criterion [11].…”

Section: Introductionmentioning

confidence: 99%

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Timing Recovery in Conjunction With Maximum Likelihood Sequence Detection in the Presence of Intersymbol Interference

Moon

Lee

2008

IEEE Trans. Circuits Syst. I

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A decision-directed timing recovery scheme is discussed that maintains and updates a separate phase estimate path for each survivor data path in the maximum-likelihood (ML) sequence detection of intersymbol interference (ISI) channels. For each survivor path, the phase estimate is updated recursively using symbol-decisions implied in the path. Unlike in the existing per-survivor timing recovery approach, there exists a single global timing loop that operates on a single stream of delayed phase estimate samples released from the merged survivor path or an up-to-date best survivor path. Loop analysis, tracking behavior simulation and BER simulation validate the proposed approach.Index Terms-Timing recovery, synchronization, maximum-likelihood sequence detection, inter-symbol interference (ISI), phase-locked loop, cycle slip.

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Section: Phase Update and Pseudo-codementioning

confidence: 99%

Section: Phase Update and Pseudo-codementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Timing Recovery in Conjunction With Maximum Likelihood Sequence Detection in the Presence of Intersymbol Interference

Moon

Lee

2008

IEEE Trans. Circuits Syst. I

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“…Nevertheless, we keep it as a "dummy" argument in the conditioning on the left-hand side of (10) in order to emphasize the fact that are known before we make the th estimate . Let denote the estimated timing error sequence obtained by maximizing the joint a posteriori probability in (10), after observing the first samples (11) Observe that it is possible to have . Since the value is fully determined if and are known, we take advantage of this fact, and slightly abuse the notation to restate (11) as (12) From the sequence , we derive by simply equating…”

Section: Problem Formulation Using An Optimal-path Criterionmentioning

confidence: 99%

“…Recursive and closed-form expressions of the Kalman gain are derived for 0018-9464/$25.00 © 2007 IEEE both acquisition and tracking modes of the PLL. A comprehensive analysis and comparison of several symbol-rate timing recovery schemes can be found in [11].…”

Section: Introductionmentioning

confidence: 99%

Trellis-Based Optimal Baud-Rate Timing Recovery Loops for Magnetic Recording Systems

et al. 2007

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The advent of iteratively decodable codes has allowed a decrease in tolerable signal-to-noise ratios (SNRs) in magnetic recording systems, which typically translates into an increase in the recording densities. However, at such low SNRs, conventional timing recovery loops suffer from frequent cycle slips. Typical timing recovery loops in magnetic recording applications perform data detection, timing error detection, and loop filtering in a sequential manner. This sequence of operations in the timing recovery loop performs well if the timing error is a small fraction of the bit interval. However, in the cycle-slip regions, the timing error is comparable to the bit interval, and the loop fails. In this paper, we represent the timing error in magnetic recording systems by using a Markov model that does not confine the timing error to only small fractions of the bit interval. By utilizing such a model, we give a trellis representation of the timing error process. The trellis representation permits the formulations of two optimal baud-rate timing recovery loops, according to two optimality criteria. We prove that both optimality criteria lead to solutions similar to the classical first-order phase-locked loop. The new loops do not perform data detection, timing error detection, and loop filtering in a sequential manner. Instead, the loops perform data detection and timing error detection jointly on a trellis, without the need for a loop filter. Simulation results show that the new timing recovery loops outperform the standard second-order baud-rate Mueller and Müller phase-locked loop with fine-tuned loop parameters. This performance gain is substantial if the timing error process is extremely noisy or if there is residual frequency offset resulting from inaccurate acquisition from the sector preamble on a disk drive.

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Closed-form timing function for a high-density magnetic recording channel with partial erasure effect

Kao

2011

AEU - International Journal of Electronics and Communications

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Symbol rate timing recovery for higher order partial response channels

Cited by 23 publications

References 8 publications

Timing Recovery in Conjunction With Maximum Likelihood Sequence Detection in the Presence of Intersymbol Interference

Timing Recovery in Conjunction With Maximum Likelihood Sequence Detection in the Presence of Intersymbol Interference

Trellis-Based Optimal Baud-Rate Timing Recovery Loops for Magnetic Recording Systems

Closed-form timing function for a high-density magnetic recording channel with partial erasure effect

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