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Master-Vortrag: Design of a Highly Flexible Forward Error Correction Scheme based on Low-Density Parity-Check Convolutional Codes
S. M. Sohail Shah
10. Februar 2015
10:30 Uhr
Hörsaal 4G IKS
Low Density Parity Check convolutional (LDPCC) codes were first introduced by Felström in 1999. LDPCC codes are convolutional counterparts to Low Density Parity Check Block (LDPCB) codes. Unlike LDPCB codes which can only encode and decode blocks of fixed size, LDPCC codes can encode and decode blocks of arbitrary size. LDPCC codes also exhibit lower latency as compared to LDPC block codes because incoming symbols can be processed immediately without waiting for reception of a complete block.
These properties make LDPC convolutional codes suitable for applications which require variable block size and lower latency like streaming or packet based networking. LDPCC codes exhibit better error correction performance than their block code counterparts. LDPCC codes can achieve the Maximum a Posteriori (MAP) threshold of the underlying ensemble of block codes with an approximate decoding scheme like Belief Propagation. This property is called the threshold saturation property of LDPCC codes.
The underlying LDPCB ensemble cannot achieve MAP threshold with a Belief Propagation decoder. Hence, threshold saturation property only applies to LDPCC codes. LDPCC codes also make good candidates for parallelized hardware implementation due to their design structure. Recently, LDPCC codes have also been proposed as forward error correction scheme for physical layer of the IEEE 1901-2010 broadband over power line communication standard. Motivated by flexible block size, low latency, and channel capacity approaching performance of LDPCC codes, we investigate a flexible implementation for LDPCC codes. In this thesis, we present a flexible method for constructing LDPCC codes with low complexity encoding and good error correction performance.
