Every Convolutional Code is a Goppa Code

2013 ◽  
Vol 59 (10) ◽  
pp. 6628-6641 ◽  
Author(s):  
Jose Ignacio Iglesias Curto ◽  
Angel Luis Munoz Castaneda ◽  
Jose Maria Munoz Porras ◽  
Gloria Serrano Sotelo
Keyword(s):  
Convolutional Code ◽  
Goppa Code

Measurement and Simulation of System Performance of Digital Broadcasting System

2013 ◽  
Vol 284-287 ◽  
pp. 2908-2912
Author(s):  
Hsien Wei Tseng ◽  
Wei Chien ◽  
Shih Nan Lu ◽  
Wei Chen Lee ◽  
Yih Guang Jan ◽  
...  
Keyword(s):  
System Performance ◽  
Simulation Analysis ◽  
Convolutional Code ◽  
Additive White Gaussian Noise ◽  
Viterbi Decoding ◽  
Modulation Formats ◽  
Reed Solomon Code ◽  
Broadcasting System ◽  
Digital Broadcasting ◽  
Transmitted Signal

In this paper, we use MATLAB software to build the physical layer transceiver of the Digital Video Broadcasting Terrestrial System (DVB-T) and Additive White Gaussian Noise (AWGN) is added into the transmitted signal during its transmission. The transmitted signal passes through modulation, demodulation, encoding and decoding processes the resulting demodulated signal is compared with the transmitted signal to calculate its Bit Error Rate (BER). Three modulation formats, QPAK, 16-QAM and 64-QAM are simulated and through various Signal to Noise (SNR) ratio to evaluate the system performance. Various encoding techniques such as Reed Solomon Code, Convolutional Code and Viterbi Decoding [1-6] have been implemented and through simulation to make detailed system performance analysis and comparison. detailed system performance simulation, analysis and comparisons.

Research on Network Coding Based on Convolutional Codes

2013 ◽  
Vol 694-697 ◽  
pp. 2270-2273
Author(s):  
Hai Ping Liu ◽  
Shi Bin Su
Keyword(s):  
Outage Probability ◽  
Network Coding ◽  
Convolutional Code ◽  
Convolutional Codes ◽  
Probability Analysis ◽  
System Model ◽  
Code Scheme ◽  
Cooperation Network

For the system with two sources, three relays and one destination, cooperation network convolutional code scheme is presented to solve the relay sharing problem. The scheme searches out convolutional code corresponding to system model, and then decides relay coding structure. Outage Probability analysis and BER simulation show that 3-order diversity is achieved.

THE ANALYTICAL MODEL OF NOISE IMMUNITY CALCULATION OF COMMUNICATION SYSTEMS WITH MULTI-POSITION TYPES OF MODULATION AND CONVOLUTIONAL CODING

2020 ◽  
Author(s):  
Э.Б. ЛИПКОВИЧ ◽  
А.А. СЕРЧЕНЯ
Keyword(s):  
Computer Simulations ◽  
Communication Systems ◽  
Error Probability ◽  
Noise Immunity ◽  
Convolutional Code ◽  
Analytical Models ◽  
Signal To Noise ◽  
Probability Of Error ◽  
Information Efficiency ◽  
Convolutional Coding

Получены математические модели расчета отношений сигнал/шум и несущая/шум, требуемые для обеспечения заданной вероятности ошибки на выходе декодера с «мягким» решением, без необходимости вычисления коэффициентов спектра сверточного кода и выполнения процедур компьютерного моделирования характеристик помехоустойчивости. Приведены расчетные выражения для определения исправляющей способности декодера, энергетического выигрыша от кодирования и информационной эффективности систем связи в зависимости от параметров многопозиционных видов модуляции, сверточного кодирования и вероятности ошибки в информационном бите. По полученным аналитическим моделям построены зависимости и дана оценка результатов исследований. Mathematical models are obtained for calculating signal-to-noise and carrier-to-noise ratios required to provide a given error probability at the decoder output with a “soft” solution and without calculating the convolutional code spectrum coefficients and performing computer simulations of noise immunity characteristics. Calculation expressions are given to determine the correcting ability of the decoder, the energy gain from coding, and the information efficiency of communication systems depending on the parameters of multi-position types of modulation, convolutional coding, and the probability of error in the information bit. Dependencies are constructed according to the obtained analytical models and the research results are evaluated.

A General Framework of Algorithm-Based Fault Tolerance Technique for Computing Systems

2014 ◽  
pp. 1-21 ◽  
Author(s):  
Hodjatollah Hamidi
Keyword(s):  
Fault Tolerance ◽  
Error Correction ◽  
General Framework ◽  
Fault Tolerant ◽  
Convolutional Code ◽  
Numerical Algorithms ◽  
Convolutional Codes ◽  
Computing Systems ◽  
Specific Level ◽  
Computing Paradigm

The Algorithm-Based Fault Tolerance (ABFT) approach transforms a system that does not tolerate a specific type of faults, called the fault-intolerant system, to a system that provides a specific level of fault tolerance, namely recovery. The ABFT philosophy leads directly to a model from which error correction can be developed. By employing an ABFT scheme with effective convolutional code, the design allows high throughput as well as high fault coverage. The ABFT techniques that detect errors rely on the comparison of parity values computed in two ways. The parallel processing of input parity values produce output parity values comparable with parity values regenerated from the original processed outputs and can apply convolutional codes for the redundancy. This method is a new approach to concurrent error correction in fault-tolerant computing systems. This chapter proposes a novel computing paradigm to provide fault tolerance for numerical algorithms. The authors also present, implement, and evaluate early detection in ABFT.

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