Signal-to-noise ratio definition for magnetic recording channels with transition noise

Moon, Jaekyun

doi:10.1109/20.908414

Cited by 32 publications

(19 citation statements)

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“…Similarly, we denote the percentage of position jitter noise relative to the total transition noise power by λ, i.e., λ = 100% means that transition noise is due to position jitter only [17].…”

Section: Numerical Results and Discussionmentioning

confidence: 99%

From Information Rate Computation to Communication System Design

Franceschini

Pighi

Ferrari

et al. 2007

2007 Information Theory and Applications Workshop

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Abstract-This paper investigates the application of information-theoretic techniques to the design of advanced communication and storage systems. We use the information rate (IR), evaluated using a recently proposed efficient numerical technique, as the key parameter characterizing the system performance. As case studies, we consider three different scenarios: (i) single-carrier (SC) and multi-carrier (MC) transmission systems over linear dispersive channels, (ii) digital storage systems impaired by media noise, and (iii) optical communication systems with direct photo-detection. The obtained results show that a clever IR analysis can provide significant insights into system performance and design in several scenarios of interest in current applications.

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Section: Numerical Results and Discussionmentioning

confidence: 99%

From Information Rate Computation to Communication System Design

Franceschini

Pighi

Ferrari

et al. 2007

2007 Information Theory and Applications Workshop

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“…In order to evaluate the MMSPE, the signal-to-noise ratio was fixed at dB, i.e., assuming a 95% transition noise consisting of 50% position jitter and 50% width variation (in a more compact form, we can write %, where is the fraction of transition noise power due to position jitter [39]). Fig.…”

Section: Simulation Resultsmentioning

confidence: 99%

“…The SNR with transition noise [39] is defined at the input of the Viterbi detector for a one-dimensional front end as where is the signal power, is the thermal noise power, is the transition noise power, and denotes the percentage of transition noise with respect to total noise. In order to evaluate the MMSPE, the signal-to-noise ratio was fixed at dB, i.e., assuming a 95% transition noise consisting of 50% position jitter and 50% width variation (in a more compact form, we can write %, where is the fraction of transition noise power due to position jitter [39]).…”

Section: Simulation Resultsmentioning

confidence: 99%

Multidimensional signal processing and detection for storage systems with data-dependent transition noise

Pighi

Raheli

Amadei³

2006

IEEE Trans. Magn.

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In the last decade, significant research on detection algorithms capable of mitigating the effects of colored Gaussian thermal noise and transition noise in storage systems, has been performed. In this paper, we present a new detection scheme based on a multidimensional detector front end and multidimensional linear prediction, applied to maximum a posteriori probability (MAP) sequence detection. This method improves the bit-error-rate (BER) performance with respect to previous approaches and makes the detector quite insensitive to transition noise. We show that the gain in terms of BER versus signal-to-noise ratio with our detector increases with the user density. The results obtained for a magnetic storage channel are extendable to optical storage systems as well.Index Terms-Longitudinal and perpendicular recording, magnetic storage systems, multidimensional linear prediction, multidimensional signal processing, optical storage systems, transition noise.

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“…For longitudinal magnetic recording channels, a compatible SNR definition was proposed in [66]. However, this definition is not compatible with perpendicular magnetic recording channel.…”

Section: Magnetic Recording Channelsmentioning

confidence: 99%

Low-Density Parity Check Codes

Wu¹

2009

Contemporary Coding Techniques and Applications for Mobile Communications

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For high density magnetic recording channels and memory systems, low-density parity-check (LDPC) codes with probabilistic decoding are replacing Reed-Solomon (RS) codes or Bose-Chaudhuri-Hocquenghem (BCH) codes with conventional algebraic decoding. The main benefit of LDPC codes over the RS and BCH codes is that LDPC codes can provide lower error probabilities than equivalent conventional codes if the conditions of magnetic recording channels or memory systems are the same. In other words, in order to achieve the same error probabilities, LDPC codes can tolerate lower signal-to-noise-ratio conditions than the conventional codes, which can imply higher densities and lower media costs. These advantages of LDPC codes are possible at the cost of the increased decoder complexity over the conventional decoding.The main themes of this thesis are (1) to determine probabilistic input to the LDPC decoders from the channel detectors in magnetic recording channels or memory systems with low complexity and (2) AcknowledgmentsI would like to thank Prof. Kumar for providing me with a unique opportunity and an ideal environment to study signal processing and error correcting codes for data storage and memory systems. I respect his patience and believing in students. I was very lucky and I will miss the time I stayed here.I would like to thank Prof. Bain, Prof. Li, and Dr. Cheng for reading my thesis during their busiest time and providing many suggestions and very detailed feedback.I would also like to thank Dr. Cheng for bringing my interest into the fascinating problem of protecting memory systems on spacecraft and for his very detailed comments on the manuscripts of the papers on this topic.

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Signal-to-noise ratio definition for magnetic recording channels with transition noise

Cited by 32 publications

References 10 publications

From Information Rate Computation to Communication System Design

From Information Rate Computation to Communication System Design

Multidimensional signal processing and detection for storage systems with data-dependent transition noise

Low-Density Parity Check Codes

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