journal article·2021-05-20Open access

Saddle Point Approximation of Mutual Information for Finite-Alphabet Inputs over Doubly Correlated MIMO Rayleigh Fading Channels

Yuyu Liu, Jinbao Zhang, Dan Zhang

Applied Sciences· Volume 11· Issue 10

Abstract

Given the mutual information of finite-alphabet inputs cannot be calculated concisely and accurately over fading channels, this paper proposes a new method to calculate the mutual information. First, the applicability of the saddle point method is studied, and then the mutual information is estimated by the saddle point approximation method with known channel state information. Furthermore, we induce the expectation of mutual information over doubly correlated multiple-input multiple-output (MIMO) Rayleigh fading channels. The validity of the saddle point approximation method is verified by comparing the numerical results of the Monte Carlo method and the saddle point approximation method under different doubly correlated MIMO fading channel scenarios.
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Research context

OpenAlex topics: Advanced MIMO Systems Optimization · Cooperative Communication and Network Coding · Error Correcting Code Techniques

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

Affiliations

Institute of Electromagnetic Compatibility, Beijing Jiaotong University, Beijing 100044, China

Frontiers Science Center for Smart High-speed Railway System, Beijing 100044, China

Beijing Engineering Research Center of EMC and GNSS Technology for Rail Transportation, Beijing 100044, China

Funding

Basic Research Business Expenses of Beijing Jiaotong University—Special Project of Frontier Science Center of Smart High Speed Railway System

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