Combined Detection and Error Correction Algorithm for Noncoherent Chaos Shift Keying System

Author(s):  
Hikmat N. Abdullah ◽  
Asaad H. Sahar ◽  
Thamir R. Saed
Author(s):  
Hikmat N. Abdullah ◽  
Thamir R. Saeed ◽  
Asaad H. Sahar

An effective error-correction scheme based on normalized correlation for a non coherent chaos communication system with no redundancy bits is proposed in this paper. A modified logistic map is used in the proposed scheme for generating two sequences, one for every data bit value, in a manner that the initial value of the next chaotic sequence is set by the second value of the present chaotic sequence of the similar symbol. This arrangement, thus, has the creation of successive chaotic sequences with identical chaotic dynamics for error correction purpose. The detection symbol is performed prior to correction, on the basis of the suboptimal receiver which anchors on the computation of the shortest distance existing between the received sequence and the modified logistic map’s chaotic trajectory. The results of the simulation reveal noticeable Eb/No improvement by the proposed scheme over the prior to the error- correcting scheme with the improvement increasing whenever there is increase in the number of sequence N. Prior to the error-correcting scheme when N=8, a gain of 1.3 dB is accomplished in E<sub>b</sub>/N<sub>o</sub> at 10<sup>-3 </sup>bit error probability. On the basis of normalized correlation, the most efficient point in our proposed error correction scheme is the absence of any redundant bits needed with minimum delay procedure, in contrast to earlier method that was based on suboptimal method detection and correction. Such performance would render the scheme good candidate for applications requiring high rates of data transmission.


2015 ◽  
Author(s):  
Sara Goodwin ◽  
James Gurtowski ◽  
Scott Ethe-Sayers ◽  
Panchajanya Deshpande ◽  
Michael Schatz ◽  
...  

Monitoring the progress of DNA molecules through a membrane pore has been postulated as a method for sequencing DNA for several decades. Recently, a nanopore-based sequencing instrument, the Oxford Nanopore MinION, has become available that we used for sequencing the S. cerevisiae genome. To make use of these data, we developed a novel open-source hybrid error correction algorithm Nanocorr (https://github.com/jgurtowski/nanocorr) specifically for Oxford Nanopore reads, as existing packages were incapable of assembling the long read lengths (5-50kbp) at such high error rate (between ~5 and 40% error). With this new method we were able to perform a hybrid error correction of the nanopore reads using complementary MiSeq data and produce a de novo assembly that is highly contiguous and accurate: the contig N50 length is more than ten-times greater than an Illumina-only assembly (678kb versus 59.9kbp), and has greater than 99.88% consensus identity when compared to the reference. Furthermore, the assembly with the long nanopore reads presents a much more complete representation of the features of the genome and correctly assembles gene cassettes, rRNAs, transposable elements, and other genomic features that were almost entirely absent in the Illumina-only assembly.


2019 ◽  
Vol 17 (02) ◽  
pp. 1950013
Author(s):  
Shi-Biao Tang ◽  
Jie Cheng

In the process of quantum key distribution (QKD), error correction algorithm is used to correct the error bits of the key at both ends. The existing applied QKD system has a low key rate and is generally Kbps of magnitude. Therefore, the performance requirement of data processing such as error correction is not high. In order to cope with the development demand of high-speed QKD system in the future, this paper introduces the Winnow algorithm to realize high-speed parity and hamming error correction based on Field Programmable Gate Array (FPGA), and explores the performance limit of this algorithm. FPGA hardware implementation can achieve the scale of Mbps bandwidth, with choosing different group length of sifted key by different error rate, and can achieve higher error correction efficiency by reducing the information leakage in the process of error correction, and improves the QKD system’s secure key rate, thus helping the future high-speed QKD system.


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