The Application of Q-ary Ldpc-codes for Fiber Optic Lines
نویسندگان
چکیده
The structure of LDPC-code over GF (16) is described. An iterative decoding algorithm based on adding and correcting of erasures is suggested. The numerical results of data transmission over the channel given by the dependencies of error and erasure probabilities on SNR are introduced (suggested decoding is used).
منابع مشابه
Performance Comparison of LDPC Block and Spatially Coupled Codes over GF(q)
In this paper, we compare the finite-length performance of protograph-based spatially coupled lowdensity parity-check (SC-LDPC) codes and LDPC block codes (LDPC-BCs) over GF(q). In order to reduce computational complexity and latency, a sliding window decoder with a stopping rule based on a soft bit-error-rate (BER) estimate is used for the q-ary SC-LDPC codes. Two regimes are considered: one w...
متن کاملAnalysis of Error Floors for Non-binary LDPC Codes over General Linear Group through q-Ary Memoryless Symmetric Channels
In this paper, we compare the decoding error rates in the error floors for non-binary low-density parity-check (LDPC) codes over general linear groups with those for non-binary LDPC codes over finite fields transmitted through the q-ary memoryless symmetric channels under belief propagation decoding. To analyze non-binary LDPC codes defined over both the general linear group GL(m, F2) and the f...
متن کاملReduced-Complexity Decoding of Q-ary LDPC Codes for Magnetic Recording
Binary low-density parity-check (LDPC) codes perform very well on magnetic recording channels (MRCs) with additive white Gaussian noise (AWGN). However, an MRC is subject to other impairments, such as media defects and thermal asperities. Binary LDPC codes may not be able to cope with these impairments without the help of a Reed–Solomon code. A better form of coding may be -ary LDPC codes, whic...
متن کاملM-ary Detection and q-ary Decoding in Large-Scale MIMO: A Non-Binary Belief Propagation Approach
In this paper, we propose a non-binary belief propagation approach (NB-BP) for detection of M -ary modulation symbols and decoding of q-ary LDPC codes in large-scale multiuser MIMO systems. We first propose a message passing based symbol detection algorithm which computes vector messages using a scalar Gaussian approximation of interference, which results in a total complexity of just O(KN √ M)...
متن کاملA Fresh Look at Coding for q-ary Symmetric Channels
This paper studies coding schemes for the q-ary symmetric channel based on binary low-density parity-check (LDPC) codes that work for any alphabet size q = 2, m ∈ N, thus complementing some recently proposed packet-based schemes requiring large q. First, theoretical optimality of a simple layered scheme is shown, then a practical coding scheme based on a simple modification of standard binary L...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2009