MO2.R8.3

Second-Order Identification Capacity of AWGN Channels

Zhicheng Liu, Beijing Jiaotong University, China; Yuan Li, Huazi Zhang, Jun Wang, Huawei Technologies Co. Ltd., China; Guiying Yan, Zhiming Ma, University of Chinese Academy and Sciences, China

Session:
Identification

Track:
9: Shannon Theory

Location:
Omega

Presentation Time:
Mon, 8 Jul, 12:30 - 12:50

Session Chair:
Holger Boche, Technical University of Munich
Abstract
In this paper, we establish the second-order randomized identification capacity (RID capacity) of the Additive White Gaussian Noise Channel (AWGNC). On the one hand, we obtain a refined version of Hayashi’s theorem to prove the achievability part. On the other, we investigate the relationship between identification and channel resolvability, then we propose a finer quantization method to prove the converse part. Consequently, the second-order RID capacity of the AWGNC has the same form as the second-order transmission capacity. The only difference is that the maximum number of messages in RID scales double exponentially in the blocklength.
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