IEICE TRANSACTIONS on Fundamentals
Variable-Length Intrinsic Randomness on Two Performance Criteria Based on Variational Distance
Summary :
This paper investigates the problem of variable-length intrinsic randomness for a general source. For this problem, we can consider two performance criteria based on the variational distance: the maximum and average variational distances. For the problem of variable-length intrinsic randomness with the maximum variational distance, we derive a general formula of the average length of uniform random numbers. Further, we derive the upper and lower bounds of the general formula and the formula for a stationary memoryless source. For the problem of variable-length intrinsic randomness with the average variational distance, we also derive a general formula of the average length of uniform random numbers.
- Publication
- IEICE TRANSACTIONS on Fundamentals Vol.E102-A No.12 pp.1642-1650
- Publication Date
- 2019/12/01
- Publicized
- Online ISSN
- 1745-1337
- DOI
- 10.1587/transfun.E102.A.1642
- Type of Manuscript
- Special Section PAPER (Special Section on Information Theory and Its Applications)
- Category
- Shannon Theory
Authors
Jun YOSHIZAWA
Waseda University
Shota SAITO
Waseda University
Toshiyasu MATSUSHIMA
Waseda University
Keyword
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Jun YOSHIZAWA, Shota SAITO, Toshiyasu MATSUSHIMA, "Variable-Length Intrinsic Randomness on Two Performance Criteria Based on Variational Distance" in IEICE TRANSACTIONS on Fundamentals,
vol. E102-A, no. 12, pp. 1642-1650, December 2019, doi: 10.1587/transfun.E102.A.1642.
Abstract: This paper investigates the problem of variable-length intrinsic randomness for a general source. For this problem, we can consider two performance criteria based on the variational distance: the maximum and average variational distances. For the problem of variable-length intrinsic randomness with the maximum variational distance, we derive a general formula of the average length of uniform random numbers. Further, we derive the upper and lower bounds of the general formula and the formula for a stationary memoryless source. For the problem of variable-length intrinsic randomness with the average variational distance, we also derive a general formula of the average length of uniform random numbers.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/transfun.E102.A.1642/_p
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@ARTICLE{e102-a_12_1642,
author={Jun YOSHIZAWA, Shota SAITO, Toshiyasu MATSUSHIMA, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Variable-Length Intrinsic Randomness on Two Performance Criteria Based on Variational Distance},
year={2019},
volume={E102-A},
number={12},
pages={1642-1650},
abstract={This paper investigates the problem of variable-length intrinsic randomness for a general source. For this problem, we can consider two performance criteria based on the variational distance: the maximum and average variational distances. For the problem of variable-length intrinsic randomness with the maximum variational distance, we derive a general formula of the average length of uniform random numbers. Further, we derive the upper and lower bounds of the general formula and the formula for a stationary memoryless source. For the problem of variable-length intrinsic randomness with the average variational distance, we also derive a general formula of the average length of uniform random numbers.},
keywords={},
doi={10.1587/transfun.E102.A.1642},
ISSN={1745-1337},
month={December},}
Copy
TY - JOUR
TI - Variable-Length Intrinsic Randomness on Two Performance Criteria Based on Variational Distance
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 1642
EP - 1650
AU - Jun YOSHIZAWA
AU - Shota SAITO
AU - Toshiyasu MATSUSHIMA
PY - 2019
DO - 10.1587/transfun.E102.A.1642
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E102-A
IS - 12
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - December 2019
AB - This paper investigates the problem of variable-length intrinsic randomness for a general source. For this problem, we can consider two performance criteria based on the variational distance: the maximum and average variational distances. For the problem of variable-length intrinsic randomness with the maximum variational distance, we derive a general formula of the average length of uniform random numbers. Further, we derive the upper and lower bounds of the general formula and the formula for a stationary memoryless source. For the problem of variable-length intrinsic randomness with the average variational distance, we also derive a general formula of the average length of uniform random numbers.
ER -
English
