4 edition of Complexity of decoders. found in the catalog.
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We propose a robust near maximum-likelihood ML decoding metric that is robust to channel estimation errors and is near optimal with respect to symbol error rate SER.
This translates to up to 228 times fewer real multiplications and additions in the implementation.
Hence, we also propose a robust sphere decoder to implement the decoding with substantially lower computational complexity. MacKay, Encyclopedia of sparse graph codes 2020. International Centre for Mechanical Sciences Courses and Lecturesvol 216.
AB - We propose a robust near maximum-likelihood ML decoding metric that is robust to channel estimation errors and is near optimal with respect to symbol error rate SER. This chapter gives an overview of the literature survey on LDPC block codes and algorithm for LDPC decoder which gives a high throughput, better bit error rate performance with low clock frequency.the average number of flipping function calculations is plotted versus SNR for the RS and original WBF-based decoders.
WBF-based decoding algorithms The bit-flipping BF algorithm is an Complexity of decoders. hard-decision decoding algorithm that computes all the parity-check equations and then flips a group of bits per iteration that is contained in a preset number of unsatisfied check-sums. This structural property is imposed on almost all LDPC code constructions and is very important to achieve good error performance with iterative decoding [,].
Therefore, even for moderate values of SNR, the set of candidate variable nodes in each iteration constitutes a very small subset of all variable nodes which, in turn, leads to a substantial reduction in the computational complexity of step 2 of the WBF-based decoding algorithms. Su, Dynamic weighted bit-flipping decoding algorithms for LDPC codes. Due to intersymbol interference ISIthe branch metric units in the decoders corresponding to the two interleaved modulation schemes are much more complicated than that in the conventional decoder.
You, Parallel weighted bit-flipping decoding. The trellis code can be used in a conventional way as in 1000BASE-T but the corresponding decoder with a long critical path needs to operate at 833MHz.
Chen, An improvement on the modified weighted bit flipping decoding algorithm for LDPC codes. The inherent decoding speed requirements can be relaxed by factors of 4 and 2, respectively. LDPC convolutional codes have been shown to be capable of achieving the identical capacity-approaching performance as LDPC block codes with iterative message passing decoding. Moreover, hard-decoding methods like BF are the only option in some applications, such as high-throughput power fiber-optic communications [, ], NAND storage systems [, ], and McEliece cryptosystem ,due Complexity of decoders.
hardware limitations. The trellis code can be used in a conventional way as in 1000BASE-T but the corresponding decoder with a long critical path needs to operate at 833MHz. The threshold for PIMWBF must be optimized by simulation in each iteration.
Cite this article Haddadi, S.
3 have2 BPS 1 trellis branches diverging from each trellis state, whereBPSis the number of transmitted bits per modulation symbol.
In this method, the WBF-based decoders are modified so that the flipping function is calculated only over a reduced set of variable nodes.