A BCH error correction scheme applied to FPGA with embedded memory

2021 ◽  
Vol 22 (8) ◽  
pp. 1127-1139
Author(s):  
Yang Liu ◽  
Jie Li ◽  
Han Wang ◽  
Debiao Zhang ◽  
Kaiqiang Feng ◽  
...  
Keyword(s):  
Error Correction ◽  
Embedded Memory ◽  
Correction Scheme

scholarly journals Efficient error correcting scheme for chaos shift keying signals

2019 ◽  
Vol 9 (5) ◽  
pp. 3550
Author(s):  
Hikmat N. Abdullah ◽  
Thamir R. Saeed ◽  
Asaad H. Sahar
Keyword(s):  
Error Correction ◽  
Logistic Map ◽  
Chaotic Sequence ◽  
Chaos Communication ◽  
Shortest Distance ◽  
Correction Scheme ◽  
Shift Keying ◽  
Minimum Delay ◽  
Modified Logistic Map ◽  
Chaos Shift Keying

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.

scholarly journals Real Time Flow Forecasting in a Mountain River Catchment Using Conceptual Models with Simple Error Correction Scheme

Water ◽  
2020 ◽  
Vol 12 (5) ◽  
pp. 1484
Author(s):  
Nicolás Montes ◽  
José Ángel Aranda ◽  
Rafael García-Bartual
Keyword(s):  
Error Correction ◽  
Real Time ◽  
Conceptual Models ◽  
Flash Flood ◽  
Validation Data ◽  
Real Time System ◽  
Data Set ◽  
Time Flow ◽  
Correction Scheme ◽  
Two Parameters

Methods in operational hydrology for real-time flash-flood forecasting need to be simple enough to match requirements of real-time system management. For this reason, hydrologic routing methods are widely used in river engineering. Among them, the popular Muskingum method is the most extended one, due to its simplicity and parsimonious formulation involving only two parameters. In the present application, two simple conceptual models with an error correction scheme were used. They were applied in practice to a mountain catchment located in the central Pyrenees (North of Spain), where occasional flash flooding events take place. Several relevant historical flood events have been selected for calibration and validation purposes. The models were designed to produce real-time predictions at the downstream gauge station, with variable lead times during a flood event. They generated accurate estimates of forecasted discharges at the downstream end of the river reach. For the validation data set and 2 h lead time, the estimated Nash-Sutcliffe coefficient was 0.970 for both models tested. The quality of the results, together with the simplicity of the formulations proposed, suggests an interesting potential for the practical use of these schemes for operational hydrology purposes.

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