Error Floor Estimation of Long LDPC Codes on Magnetic Recording Channels

Hu, Xinde; Li, Zongwang; Kumar, B. V. K. Vijaya; Barndt, R.D.

doi:10.1109/tmag.2010.2040026

Cited by 21 publications

(10 citation statements)

References 3 publications

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“…Furthermore, traditional Monte Carlo simulation cannot be performed at very low BER regimes due to prohibitive simulation times. To estimate the error floor of LDPC in magnetic recording, a combination of analytical tools and FPGA simulation has been proposed in [9]. A similar approach is adopted in this paper.…”

Section: Performance Evaluation Of Long Ldpc At Very Low Bermentioning

confidence: 99%

“…A similar approach is adopted in this paper. Specifically, FPGA simulations in the proximity of the low BER region of interest (e.g., 10 −13 ) are used to obtain the dominant trapping sets (see [9] for more details). Based on these trapping sets, BER is estimated by using importance sampling technique [20].…”

Section: Performance Evaluation Of Long Ldpc At Very Low Bermentioning

confidence: 99%

“…To accurately evaluate BER floors, we use a combination of analytical tools with FPGA simulation [9]. Our study shows that error floors below 10 −13 are mainly caused by the fixed-point implementation of MSA.…”

Section: Introductionmentioning

confidence: 99%

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Non-Concatenated FEC Codes for Ultra-High Speed Optical Transport Networks

Morero

Castrillon

Ramos³

et al. 2011

2011 IEEE Global Telecommunications Conference - GLOBECOM 2011

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This paper presents a non-concatenated forward error correction (FEC) code suitable for applications in 100Gb/s optical transport networks (OTN). A typical requirement in this application is a net coding gain (NCG) > 10dB at a bit error rate (BER) of 10 −15 with an overhead (OH) of ∼ 20%. As discussed in [1], non-concatenated codes are the ultimate frontier in terms of performance for OTN applications, because of their superior performance, lower latency, and lower overhead than concatenated codes. However, a major stumbling block for the use of these codes has been the existence of BER floors at levels significantly higher than the required 10 −15 (typically 10 −10 ). In this paper we present a new coding scheme based on a low density parity check (LDPC) code with an expected net coding gain of 11.30dB at 10 −15 , 20% OH, and a codeword length of 24576 bits. This represents a significant improvement over the previous state of the art [2], based on a concatenated code with a codeword length of 74844 bits and 20.5% OH. The code is designed to minimize the BER floor while simultaneously reducing the memory requirements and the interconnection complexity of the iterative decoder [3]. Experimental results obtained with an FPGA-based hardware emulator demonstrate an NCG of 10.70dB at a BER of 10 −13 and no error floors. These experimental results are extrapolated to 10 −15 using importance sampling techniques, resulting in the expected performance stated above. Moreover, we find that fixed-point implementation is the main cause of error floors below 10 −13 . Based on this finding, we introduce a new low complexity postprocessing technique to push BER floors down to 10 −15 .

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Section: Performance Evaluation Of Long Ldpc At Very Low Bermentioning

confidence: 99%

Section: Performance Evaluation Of Long Ldpc At Very Low Bermentioning

confidence: 99%

See 1 more Smart Citation

Non-Concatenated FEC Codes for Ultra-High Speed Optical Transport Networks

Morero

Castrillon

Ramos³

et al. 2011

2011 IEEE Global Telecommunications Conference - GLOBECOM 2011

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“…According to our simulations, the most dominant GASTs in the error floor of the unoptimized codes (Codes 9, 11, and 6) are hardly affected by the additional soft information (compare the dominant GASTs listed above for Codes 9, 11, and 6 with the dominant GASTs in [5, Table I], [5, Table II], and [5, Table IV], respectively). Moreover, Figures 16,17,and 18 show that the performance gains achieved by applying the WCM framework over practical Flash channels with 6 reads are in the same range as the gains achieved over the same channels with 3 reads. In particular, more than 1 order of magnitude gain is achieved in Fig.…”

Section: Effect Of Soft Information In Flash Channelsmentioning

confidence: 80%

A Combinatorial Methodology for Optimizing Non-Binary Graph-Based Codes: Theoretical Analysis and Applications in Data Storage

Hareedy

Lanka

Guo

et al. 2019

IEEE Trans. Inform. Theory

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“…Based on the premise that the EF of a given LDPC code is an artifact of its underling TS structures, several approaches have evolved to use the IS technique and variations thereof to efficiently predict these EFs for various channel conditions and TS structures, see e.g., [29,[69][70][71][72][73][74][75]. For instance, in [69] an AWGN channel is considered and a method for identifying the error boundary of the decoder for a given TS is proposed.…”

Section: Computational Complexity Of Proposed Ph Mitigation Schemementioning

confidence: 99%

Performance Enhancement of High Order LDPC Coded Modulation Systems with Application in Mobile Backhaul Networks

Neshaastegaran¹

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Wireless backhaul communication systems play a crucial role in the infrastructure of current cellular networks. In light of the expensive costs of fiber deployment, the importance of these links is anticipated to continue over the next few decades.Point-to-point microwave radio links (PtPMRLs) are the backbone of every wireless backhaul system. To achieve higher spectral efficiencies, the PtPMRL are designed based on the concurrent exploitation of high-order modulations and powerful forward error correcting codes. An example of such design paradigm is the high-order lowdensity-parity-check coded modulation systems (LDPC-CMSs). In this thesis two key challenges in the high-order LDPC-CMSs are overcome.In our first contribution, we consider the problem of oscillator phase hit (PH) in microwave backhaul communication links. PH results in a temporary link loss in the communication system and bears an expensive cost on the operators. In this work, we propose a two-stage solution to mitigate PH. In the first stage, we use Neyman-Pearson binary hypothesis testing to develop a low cost PH detection algorithm.In this test, a likelihood ratio test is designed and the optimal detection threshold is analytically calculated. The proposed PH detection scheme entails small real-time computations while using the existing pilot symbols in the system; thus, no extra pilot overhead is required. In the second stage, we use maximum likelihood estimation to develop a PH correction scheme. In particular, we formulate the joint estimation of phase noise (PN) and PH as a maximum likelihood estimation problem. Solving this problem results in the estimation of PN with the location and magnitude of PH. By applying the proposed correction scheme, the number of affected symbols by PH is significantly reduced. In particular, the number of remaining erroneous symbols due to PH (if any) is within the error correction capability of modern LDPC codes used iii Table of Contents viii List of Tables xi List of Figures xiii List of References 103Appendix A

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Error Floor Estimation of Long LDPC Codes on Magnetic Recording Channels

Cited by 21 publications

References 3 publications

Non-Concatenated FEC Codes for Ultra-High Speed Optical Transport Networks

Non-Concatenated FEC Codes for Ultra-High Speed Optical Transport Networks

A Combinatorial Methodology for Optimizing Non-Binary Graph-Based Codes: Theoretical Analysis and Applications in Data Storage

Performance Enhancement of High Order LDPC Coded Modulation Systems with Application in Mobile Backhaul Networks

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