Some Results on the Effectiveness of Error-Control Procedures in Digital Data Transmission

Bennett, W. R.; Froehlich, Fritz E.

doi:10.1109/tcom.1961.1097651

Cited by 6 publications

(4 citation statements)

References 6 publications

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“…A convenient tool to describe data transmission channels is Bennet and Froelich's mathematical model, which has no restrictions as to the way of length distribution of error bursts [1][2][3][4][5][6][7][8][9]. The main features of the Bennet and Froelich's model [4] are:…”

Section: Model Of Channel With Grouping Errorsmentioning

confidence: 99%

“…To specify a simplified Bennet and Froelich's model, it is sufficient to specify the P n -probability and P (l)distribution. The P n probability value and P (l)distribution can be obtained experimentally on a large enough sample size [1,2,4].…”

Section: Model Of Channel With Grouping Errorsmentioning

confidence: 99%

“…The usage of redundant codes to increase the reliability of the transmitted information requires the designer to take into account various factors, including the nature of the error distribution in the communication channel [1][2][3][4][5][6][7][8][9]. A detailed research of statistical properties of error sequences in real channels has shown that the errors are dependent and have a tendency to batch groups [1][2][3].…”

Section: Introductionmentioning

confidence: 99%

“…However, at any point of time, error condensations, so-called error bursts, can occur, inside of which the error probability is significantly higher than the average error probability calculated for a considerable transmission time. In such conditions, protection methods that are optimal for the independent error hypothesis are absolutely ineffective in real communication channels [4][5][6][7][8][9]. It is necessary to use a (scientific and) methodological apparatus to estimate the error-correcting codes efficiency correctly.…”

Section: Introductionmentioning

confidence: 99%

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Energy Gain From Error-Correcting Coding in Channels With Grouping Errors

2020

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Abstract. This article explores the a mathematical model of the a data transmission channel with errors grouping. We propose an estimating method for energy gain from coding and energy efficiency of binary codes in channels with grouped errors. The proposed method uses a simplified Bennet and Froelich’s model and allows leading the research of the energy gain from coding for a wide class of data channels without restricting the way of the length distributing the error bursts. The reliability of the obtained results is confirmed by the information of the known results in the theory of error-correcting coding in the simplified variant.

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Section: Model Of Channel With Grouping Errorsmentioning

confidence: 99%

Section: Model Of Channel With Grouping Errorsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Energy Gain From Error-Correcting Coding in Channels With Grouping Errors

2020

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Further Analysis of Errors Reported in “Capabilities of the Telephone Network for Data Transmission”

Morris¹

1962

Bell System Technical Journal

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The recorded error data from a field testing program reported on by Alexander, Gryb, and Nast have been further analyzed. New methods of analysis have given more information on the causes and nature of errors experienced by data in the switched telephone plant. The results obtained will enable workers in the field of error control to use the field test data more effectively. The ideas presented will be useful to designers of future field tests.

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Data Transmission over a Self-Contained Error Detection and Retransmission Channel

Froehlich¹,

Anderson²

1964

Bell System Technical Journal

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Error control of the detection and retransmission type requires an internal storage buffer when the data source cannot be stopped. With finite capacity there will be occasions when this internal buffer is overfilled. This paper investigates the relationships among the error statistics of the channel, the storage capacity of the buffer, the round‐trip transmission delay and the bit rate from the source. It is shown that the process can be treated as a Markov chain. The solution algorithm is programmed for machine computation, and representative cases are solved numerically. For typical values selected from the telephone plant, it is found that buffer capacities of a few hundred bits would be adequate. The technique described should be useful for solving other problems in queueing theory.

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Some Results on the Effectiveness of Error-Control Procedures in Digital Data Transmission

Cited by 6 publications

References 6 publications

Energy Gain From Error-Correcting Coding in Channels With Grouping Errors

Energy Gain From Error-Correcting Coding in Channels With Grouping Errors

Further Analysis of Errors Reported in “Capabilities of the Telephone Network for Data Transmission”

Data Transmission over a Self-Contained Error Detection and Retransmission Channel

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