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Volume 28 (2024)
Volume 28,
Pg 1 - 28 (December 2024)
Volume 27 (2023)
Volume 27,
Pg 1 - 76 (December 2023)
Volume 26 (2022)
Volume 26,
Pg 1 - 32 (December 2022)
Volume 25 (2022)
Volume 25,
Pg 1 - 36 (June 2022)
Volume 24 (2021)
Volume 24, Issue 2
Pg 81 - 108 (December 2021)
Volume 24, Issue 1
Pg 1 - 80 (June 2021)
Volume 23 (2020)
Volume 23, Issue 2
Pg 61 - 102 (December 2020)
Volume 23, Issue 1
Pg 1 - 59 (June 2020)
Volume 22 (2019)
Volume 22, Issue 1-2
Pg 1 - 38 (November 2019)
Volume 21 (2019)
Volume 21, Issue 1-2
Pg 1 - 65 (August 2019)
Volume 20 (2019)
Volume 20, Issue 2
Pg 87 - 133 (May 2019)
Volume 20, Issue 1
Pg 1 - 85 (April 2019)
Volume 19 (2019)
Volume 19, Issue 2
Pg 119 - 202 (February 2019)
Volume 19, Issue 1
Pg 1 - 118 (January 2019)
Volume 18 (2018)
Volume 18, Issue 8
Pg 1151 - 1269 (November 2018)
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Pg 981 - 1149 (October 2018)
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Pg 809 - 979 (August 2018)
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Pg 631 - 807 (July 2018)
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Pg 489 - 629 (May 2018)
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Pg 357 - 487 (April 2018)
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Pg 207 - 356 (February 2018)
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Pg 1 - 205 (January 2018)
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Volume 17, Issue 6
Pg 1299 - 1640 (December 2017)
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Pg 923 - 1298 (October 2017)
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Pg 719 - 921 (August 2017)
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Pg 517 - 717 (June 2017)
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Pg 229 - 516 (April 2017)
Volume 17, Issue 1
Pg 1 - 228 (February 2017)
Special Volume 3 (2016)
Special Volume 3, ICCS - 2016, Part II
Pg 273 - 850 (November 2016)
Special Volume 3, ICCS - 2016, Part I
Pg 1 - 272 (October 2016)
Special Volume 2 (2016)
Special Volume 2, ICACCI-2016, Cebu, Philippines
Pg 1 - 170 (September 2016)
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Pg 1 - 201 (March 2016)
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Pg 1 - 65 (September 2010)
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Pg 91 - 170 (June 2010)
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Pg 1 - 89 (March 2010)
Volume 3 (2009)
Volume 3, Issue 3
Pg 167 - 259 (December 2009)
Volume 3, Issue 2
Pg 85 - 165 (August 2009)
Volume 3, Issue 1
Pg 1 - 84 (April 2009)
Volume 2 (2008)
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Pg 195 - 266 (December 2008)
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Pg 99 - 193 (August 2008)
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Pg 1 - 98 (April 2008)
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Pg 189 - 267 (December 2007)
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Pg 109 - 187 (August 2007)
Volume 1, Issue 1
Pg 1 - 108 (April 2007)
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Far East Journal of Electronics and Communications
Far East Journal of Electronics and Communications
Volume 3, Issue 2, Pages 85 - 99 (August 2009)
ON PRECISE ACHIEVABLE CONDITIONS IN RESOLVABILITY PROBLEM BASED ON THE ASYMPTOTIC NORMALITY
Ryo Nomura (Japan) and Toshiyasu Matsushima (Japan)
Abstract:
The random number generation problem is one of the main topics in information theory. The resolvability problem is a kind of random number generation problems and formulated as follows. Given an arbitrary discrete random variable (called a source or a target random number), we generate it by using a discrete uniform random number whose size is as small as possible under the condition that the distance between the probability distribution of the source and the probability distribution of random variables to be generated is small. One of main problems in this setting is to construct the efficient algorithm and the other is to show the achievable condition. The achievable condition for the source guarantees the following. That is, there exists an algorithm under the condition that the distance between the probability distribution of the source and the probability distribution of random variables to be generated is small. Steinberg et al. and Han et al. showed the achievable condition for an arbitrary given general sources by using information spectrum methods. The class of general sources is quite large, so their result is very important. However, their result is not so precise, since the general source has no assumption for the source such as the consistency condition. On the other hand, it is important to obtain the achievable condition more precisely by using the assumption for the source. In this paper, we obtain more precise achievable condition by using the asymptotic normality.
Keywords and phrases:
resolvability, random number generation, variational distance.
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